id	sid	tid	token	lemma	pos
ap-2078	1	1	acta	acta	PROPN
ap-2078	1	2	polytechnica	polytechnica	PROPN
ap-2078	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2078	1	4	/	/	SYM
ap-2078	1	5	ap.2014.54.0106	ap.2014.54.0106	PROPN
ap-2078	1	6	acta	acta	PROPN
ap-2078	1	7	polytechnica	polytechnica	PROPN
ap-2078	1	8	54(2):106–112	54(2):106–112	PROPN
ap-2078	1	9	,	,	PUNCT
ap-2078	1	10	2014	2014	NUM
ap-2078	1	11	©	©	PROPN
ap-2078	1	12	czech	czech	PROPN
ap-2078	1	13	technical	technical	PROPN
ap-2078	1	14	university	university	PROPN
ap-2078	1	15	in	in	ADP
ap-2078	1	16	prague	prague	PROPN
ap-2078	1	17	,	,	PUNCT
ap-2078	1	18	2014	2014	NUM
ap-2078	1	19	available	available	ADJ
ap-2078	1	20	online	online	ADV
ap-2078	1	21	at	at	ADP
ap-2078	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2078	1	23	exceptional	exceptional	ADJ
ap-2078	1	24	points	point	NOUN
ap-2078	1	25	in	in	ADP
ap-2078	1	26	open	open	ADJ
ap-2078	1	27	and	and	CCONJ
ap-2078	1	28	pt	pt	ADJ
ap-2078	1	29	-	-	PUNCT
ap-2078	1	30	symmetric	symmetric	ADJ
ap-2078	1	31	systems	system	NOUN
ap-2078	1	32	hichem	hichem	NOUN
ap-2078	1	33	eleucha	eleucha	NOUN
ap-2078	1	34	,	,	PUNCT
ap-2078	1	35	ingrid	ingrid	PROPN
ap-2078	1	36	rotterb,∗	rotterb,∗	PROPN
ap-2078	1	37	a	a	DET
ap-2078	1	38	department	department	NOUN
ap-2078	1	39	of	of	ADP
ap-2078	1	40	physics	physics	PROPN
ap-2078	1	41	,	,	PUNCT
ap-2078	1	42	mcgill	mcgill	PROPN
ap-2078	1	43	university	university	PROPN
ap-2078	1	44	,	,	PUNCT
ap-2078	1	45	montreal	montreal	PROPN
ap-2078	1	46	,	,	PUNCT
ap-2078	1	47	canada	canada	PROPN
ap-2078	1	48	h3a	h3a	VERB
ap-2078	1	49	2t8	2t8	NUM
ap-2078	1	50	b	b	PROPN
ap-2078	1	51	max	max	PROPN
ap-2078	1	52	planck	planck	PROPN
ap-2078	1	53	institute	institute	PROPN
ap-2078	1	54	for	for	ADP
ap-2078	1	55	the	the	DET
ap-2078	1	56	physics	physics	NOUN
ap-2078	1	57	of	of	ADP
ap-2078	1	58	complex	complex	ADJ
ap-2078	1	59	systems	system	NOUN
ap-2078	1	60	,	,	PUNCT
ap-2078	1	61	d-01187	d-01187	PROPN
ap-2078	1	62	dresden	dresden	PROPN
ap-2078	1	63	,	,	PUNCT
ap-2078	1	64	germany	germany	PROPN
ap-2078	1	65	∗	∗	NOUN
ap-2078	1	66	corresponding	correspond	VERB
ap-2078	1	67	author	author	NOUN
ap-2078	1	68	:	:	PUNCT
ap-2078	1	69	rotter@pks.mpg.de	rotter@pks.mpg.de	NOUN
ap-2078	1	70	abstract	abstract	NOUN
ap-2078	1	71	.	.	PUNCT
ap-2078	2	1	exceptional	exceptional	ADJ
ap-2078	2	2	points	point	NOUN
ap-2078	2	3	(	(	PUNCT
ap-2078	2	4	eps	eps	NOUN
ap-2078	2	5	)	)	PUNCT
ap-2078	2	6	determine	determine	VERB
ap-2078	2	7	the	the	DET
ap-2078	2	8	dynamics	dynamic	NOUN
ap-2078	2	9	of	of	ADP
ap-2078	2	10	open	open	ADJ
ap-2078	2	11	quantum	quantum	NOUN
ap-2078	2	12	systems	system	NOUN
ap-2078	2	13	and	and	CCONJ
ap-2078	2	14	cause	cause	NOUN
ap-2078	2	15	also	also	ADV
ap-2078	2	16	pt	pt	VERB
ap-2078	2	17	symmetry	symmetry	NOUN
ap-2078	2	18	breaking	break	VERB
ap-2078	2	19	in	in	ADP
ap-2078	2	20	pt	pt	PROPN
ap-2078	2	21	symmetric	symmetric	ADJ
ap-2078	2	22	systems	system	NOUN
ap-2078	2	23	.	.	PUNCT
ap-2078	3	1	from	from	ADP
ap-2078	3	2	a	a	DET
ap-2078	3	3	mathematical	mathematical	ADJ
ap-2078	3	4	point	point	NOUN
ap-2078	3	5	of	of	ADP
ap-2078	3	6	view	view	NOUN
ap-2078	3	7	,	,	PUNCT
ap-2078	3	8	this	this	PRON
ap-2078	3	9	is	be	AUX
ap-2078	3	10	caused	cause	VERB
ap-2078	3	11	by	by	ADP
ap-2078	3	12	the	the	DET
ap-2078	3	13	fact	fact	NOUN
ap-2078	3	14	that	that	SCONJ
ap-2078	3	15	the	the	DET
ap-2078	3	16	phases	phase	NOUN
ap-2078	3	17	of	of	ADP
ap-2078	3	18	the	the	DET
ap-2078	3	19	wavefunctions	wavefunction	NOUN
ap-2078	3	20	(	(	PUNCT
ap-2078	3	21	eigenfunctions	eigenfunction	NOUN
ap-2078	3	22	of	of	ADP
ap-2078	3	23	a	a	DET
ap-2078	3	24	non	non	ADJ
ap-2078	3	25	-	-	ADJ
ap-2078	3	26	hermitian	hermitian	ADJ
ap-2078	3	27	hamiltonian	hamiltonian	NOUN
ap-2078	3	28	)	)	PUNCT
ap-2078	3	29	relative	relative	ADJ
ap-2078	3	30	to	to	ADP
ap-2078	3	31	one	one	NUM
ap-2078	3	32	another	another	PRON
ap-2078	3	33	are	be	AUX
ap-2078	3	34	not	not	PART
ap-2078	3	35	rigid	rigid	ADJ
ap-2078	3	36	when	when	SCONJ
ap-2078	3	37	an	an	DET
ap-2078	3	38	ep	ep	PROPN
ap-2078	3	39	is	be	AUX
ap-2078	3	40	approached	approach	VERB
ap-2078	3	41	.	.	PUNCT
ap-2078	4	1	the	the	DET
ap-2078	4	2	system	system	NOUN
ap-2078	4	3	is	be	AUX
ap-2078	4	4	therefore	therefore	ADV
ap-2078	4	5	able	able	ADJ
ap-2078	4	6	to	to	PART
ap-2078	4	7	align	align	VERB
ap-2078	4	8	with	with	ADP
ap-2078	4	9	the	the	DET
ap-2078	4	10	environment	environment	NOUN
ap-2078	4	11	to	to	PART
ap-2078	4	12	which	which	PRON
ap-2078	4	13	it	it	PRON
ap-2078	4	14	is	be	AUX
ap-2078	4	15	coupled	couple	VERB
ap-2078	4	16	and	and	CCONJ
ap-2078	4	17	,	,	PUNCT
ap-2078	4	18	consequently	consequently	ADV
ap-2078	4	19	,	,	PUNCT
ap-2078	4	20	rigorous	rigorous	ADJ
ap-2078	4	21	changes	change	NOUN
ap-2078	4	22	of	of	ADP
ap-2078	4	23	the	the	DET
ap-2078	4	24	system	system	NOUN
ap-2078	4	25	properties	property	NOUN
ap-2078	4	26	may	may	AUX
ap-2078	4	27	occur	occur	VERB
ap-2078	4	28	.	.	PUNCT
ap-2078	5	1	we	we	PRON
ap-2078	5	2	compare	compare	VERB
ap-2078	5	3	analytically	analytically	ADV
ap-2078	5	4	as	as	ADV
ap-2078	5	5	well	well	ADV
ap-2078	5	6	as	as	ADP
ap-2078	5	7	numerically	numerically	ADV
ap-2078	5	8	the	the	DET
ap-2078	5	9	eigenvalues	eigenvalue	NOUN
ap-2078	5	10	and	and	CCONJ
ap-2078	5	11	eigenfunctions	eigenfunction	NOUN
ap-2078	5	12	of	of	ADP
ap-2078	5	13	a	a	DET
ap-2078	5	14	2×	2×	NUM
ap-2078	5	15	2	2	NUM
ap-2078	5	16	matrix	matrix	NOUN
ap-2078	5	17	that	that	PRON
ap-2078	5	18	is	be	AUX
ap-2078	5	19	characteristic	characteristic	ADJ
ap-2078	5	20	either	either	ADV
ap-2078	5	21	of	of	ADP
ap-2078	5	22	open	open	ADJ
ap-2078	5	23	quantum	quantum	NOUN
ap-2078	5	24	systems	system	NOUN
ap-2078	5	25	at	at	ADP
ap-2078	5	26	high	high	ADJ
ap-2078	5	27	level	level	NOUN
ap-2078	5	28	density	density	NOUN
ap-2078	5	29	or	or	CCONJ
ap-2078	5	30	of	of	ADP
ap-2078	5	31	pt	pt	INTJ
ap-2078	5	32	symmetric	symmetric	ADJ
ap-2078	5	33	optical	optical	ADJ
ap-2078	5	34	lattices	lattice	NOUN
ap-2078	5	35	.	.	PUNCT
ap-2078	6	1	in	in	ADP
ap-2078	6	2	both	both	DET
ap-2078	6	3	cases	case	NOUN
ap-2078	6	4	,	,	PUNCT
ap-2078	6	5	the	the	DET
ap-2078	6	6	results	result	NOUN
ap-2078	6	7	show	show	VERB
ap-2078	6	8	clearly	clearly	ADV
ap-2078	6	9	the	the	DET
ap-2078	6	10	influence	influence	NOUN
ap-2078	6	11	of	of	ADP
ap-2078	6	12	the	the	DET
ap-2078	6	13	environment	environment	NOUN
ap-2078	6	14	on	on	ADP
ap-2078	6	15	the	the	DET
ap-2078	6	16	system	system	NOUN
ap-2078	6	17	in	in	ADP
ap-2078	6	18	the	the	DET
ap-2078	6	19	neighborhood	neighborhood	NOUN
ap-2078	6	20	of	of	ADP
ap-2078	6	21	eps	eps	PROPN
ap-2078	6	22	.	.	PROPN
ap-2078	7	1	although	although	SCONJ
ap-2078	7	2	the	the	DET
ap-2078	7	3	systems	system	NOUN
ap-2078	7	4	are	be	AUX
ap-2078	7	5	very	very	ADV
ap-2078	7	6	different	different	ADJ
ap-2078	7	7	from	from	ADP
ap-2078	7	8	one	one	NUM
ap-2078	7	9	another	another	DET
ap-2078	7	10	,	,	PUNCT
ap-2078	7	11	the	the	DET
ap-2078	7	12	eigenvalues	eigenvalue	NOUN
ap-2078	7	13	and	and	CCONJ
ap-2078	7	14	eigenfunctions	eigenfunction	NOUN
ap-2078	7	15	indicate	indicate	VERB
ap-2078	7	16	the	the	DET
ap-2078	7	17	same	same	ADJ
ap-2078	7	18	characteristic	characteristic	ADJ
ap-2078	7	19	features	feature	NOUN
ap-2078	7	20	.	.	PUNCT
ap-2078	8	1	keywords	keyword	NOUN
ap-2078	8	2	:	:	PUNCT
ap-2078	8	3	exceptional	exceptional	ADJ
ap-2078	8	4	points	point	NOUN
ap-2078	8	5	,	,	PUNCT
ap-2078	8	6	open	open	ADJ
ap-2078	8	7	quantum	quantum	NOUN
ap-2078	8	8	systems	system	NOUN
ap-2078	8	9	;	;	PUNCT
ap-2078	8	10	pt	pt	NUM
ap-2078	8	11	symmetry	symmetry	NOUN
ap-2078	8	12	breaking	breaking	NOUN
ap-2078	8	13	,	,	PUNCT
ap-2078	8	14	dynamical	dynamical	ADJ
ap-2078	8	15	phase	phase	NOUN
ap-2078	8	16	transition	transition	NOUN
ap-2078	8	17	,	,	PUNCT
ap-2078	8	18	non	non	ADJ
ap-2078	8	19	-	-	ADJ
ap-2078	8	20	hermitian	hermitian	ADJ
ap-2078	8	21	quantum	quantum	ADJ
ap-2078	8	22	physics	physics	NOUN
ap-2078	8	23	,	,	PUNCT
ap-2078	8	24	phase	phase	NOUN
ap-2078	8	25	rigidity	rigidity	NOUN
ap-2078	8	26	.	.	PUNCT
ap-2078	9	1	1	1	X
ap-2078	9	2	.	.	X
ap-2078	9	3	introduction	introduction	NOUN
ap-2078	9	4	starting	start	VERB
ap-2078	9	5	with	with	ADP
ap-2078	9	6	paper	paper	NOUN
ap-2078	9	7	[	[	X
ap-2078	9	8	1	1	NUM
ap-2078	9	9	]	]	PUNCT
ap-2078	9	10	,	,	PUNCT
ap-2078	9	11	it	it	PRON
ap-2078	9	12	has	have	AUX
ap-2078	9	13	been	be	AUX
ap-2078	9	14	shown	show	VERB
ap-2078	9	15	that	that	SCONJ
ap-2078	9	16	a	a	DET
ap-2078	9	17	wide	wide	ADJ
ap-2078	9	18	class	class	NOUN
ap-2078	9	19	of	of	ADP
ap-2078	9	20	pt	pt	X
ap-2078	9	21	symmetric	symmetric	ADJ
ap-2078	9	22	non	non	ADJ
ap-2078	9	23	-	-	ADJ
ap-2078	9	24	hermitian	hermitian	ADJ
ap-2078	9	25	hamilton	hamilton	PROPN
ap-2078	9	26	operators	operators	PROPN
ap-2078	9	27	provides	provide	VERB
ap-2078	9	28	entirely	entirely	ADV
ap-2078	9	29	real	real	ADJ
ap-2078	9	30	spectra	spectra	NOUN
ap-2078	9	31	.	.	PUNCT
ap-2078	10	1	in	in	ADP
ap-2078	10	2	the	the	DET
ap-2078	10	3	following	following	ADJ
ap-2078	10	4	years	year	NOUN
ap-2078	10	5	this	this	DET
ap-2078	10	6	phenomenon	phenomenon	NOUN
ap-2078	10	7	has	have	AUX
ap-2078	10	8	been	be	AUX
ap-2078	10	9	studied	study	VERB
ap-2078	10	10	in	in	ADP
ap-2078	10	11	many	many	ADJ
ap-2078	10	12	theoretical	theoretical	ADJ
ap-2078	10	13	papers	paper	NOUN
ap-2078	10	14	,	,	PUNCT
ap-2078	10	15	see	see	VERB
ap-2078	10	16	the	the	DET
ap-2078	10	17	review	review	NOUN
ap-2078	10	18	[	[	X
ap-2078	10	19	2	2	NUM
ap-2078	10	20	]	]	PUNCT
ap-2078	10	21	and	and	CCONJ
ap-2078	10	22	the	the	DET
ap-2078	10	23	special	special	ADJ
ap-2078	10	24	issue	issue	NOUN
ap-2078	10	25	[	[	X
ap-2078	10	26	3	3	NUM
ap-2078	10	27	]	]	PUNCT
ap-2078	10	28	.	.	PUNCT
ap-2078	11	1	in	in	ADP
ap-2078	11	2	order	order	NOUN
ap-2078	11	3	to	to	PART
ap-2078	11	4	realize	realize	VERB
ap-2078	11	5	complex	complex	ADJ
ap-2078	11	6	pt	pt	CCONJ
ap-2078	11	7	symmetric	symmetric	ADJ
ap-2078	11	8	structures	structure	NOUN
ap-2078	11	9	,	,	PUNCT
ap-2078	11	10	the	the	DET
ap-2078	11	11	formal	formal	ADJ
ap-2078	11	12	equivalence	equivalence	NOUN
ap-2078	11	13	of	of	ADP
ap-2078	11	14	the	the	DET
ap-2078	11	15	quantum	quantum	ADJ
ap-2078	11	16	mechanical	mechanical	ADJ
ap-2078	11	17	schrödinger	schrödinger	ADJ
ap-2078	11	18	equation	equation	NOUN
ap-2078	11	19	to	to	ADP
ap-2078	11	20	the	the	DET
ap-2078	11	21	optical	optical	ADJ
ap-2078	11	22	wave	wave	NOUN
ap-2078	11	23	equation	equation	NOUN
ap-2078	11	24	in	in	ADP
ap-2078	11	25	pt	pt	PROPN
ap-2078	11	26	symmetric	symmetric	ADJ
ap-2078	11	27	optical	optical	ADJ
ap-2078	11	28	lattices	lattice	NOUN
ap-2078	11	29	[	[	X
ap-2078	11	30	4	4	X
ap-2078	11	31	]	]	PUNCT
ap-2078	11	32	can	can	AUX
ap-2078	11	33	be	be	AUX
ap-2078	11	34	exploited	exploit	VERB
ap-2078	11	35	by	by	ADP
ap-2078	11	36	involving	involve	VERB
ap-2078	11	37	symmetric	symmetric	ADJ
ap-2078	11	38	index	index	NOUN
ap-2078	11	39	guiding	guiding	NOUN
ap-2078	11	40	and	and	CCONJ
ap-2078	11	41	an	an	DET
ap-2078	11	42	antisymmetric	antisymmetric	ADJ
ap-2078	11	43	gain	gain	NOUN
ap-2078	11	44	/	/	SYM
ap-2078	11	45	loss	loss	NOUN
ap-2078	11	46	profile	profile	NOUN
ap-2078	11	47	.	.	PUNCT
ap-2078	12	1	experimental	experimental	ADJ
ap-2078	12	2	results	result	NOUN
ap-2078	12	3	[	[	X
ap-2078	12	4	5	5	NUM
ap-2078	12	5	]	]	PUNCT
ap-2078	12	6	have	have	AUX
ap-2078	12	7	confirmed	confirm	VERB
ap-2078	12	8	the	the	DET
ap-2078	12	9	expectations	expectation	NOUN
ap-2078	12	10	and	and	CCONJ
ap-2078	12	11	have	have	AUX
ap-2078	12	12	,	,	PUNCT
ap-2078	12	13	furthermore	furthermore	ADV
ap-2078	12	14	,	,	PUNCT
ap-2078	12	15	demonstrated	demonstrate	VERB
ap-2078	12	16	the	the	DET
ap-2078	12	17	onset	onset	NOUN
ap-2078	12	18	of	of	ADP
ap-2078	12	19	passive	passive	ADJ
ap-2078	12	20	pt	pt	NOUN
ap-2078	12	21	symmetry	symmetry	NOUN
ap-2078	12	22	breaking	break	VERB
ap-2078	12	23	within	within	ADP
ap-2078	12	24	the	the	DET
ap-2078	12	25	context	context	NOUN
ap-2078	12	26	of	of	ADP
ap-2078	12	27	optics	optic	NOUN
ap-2078	12	28	.	.	PUNCT
ap-2078	13	1	this	this	DET
ap-2078	13	2	phase	phase	NOUN
ap-2078	13	3	transition	transition	NOUN
ap-2078	13	4	was	be	AUX
ap-2078	13	5	found	find	VERB
ap-2078	13	6	to	to	PART
ap-2078	13	7	lead	lead	VERB
ap-2078	13	8	to	to	ADP
ap-2078	13	9	a	a	DET
ap-2078	13	10	loss	loss	NOUN
ap-2078	13	11	-	-	PUNCT
ap-2078	13	12	induced	induce	VERB
ap-2078	13	13	optical	optical	ADJ
ap-2078	13	14	transparency	transparency	NOUN
ap-2078	13	15	in	in	ADP
ap-2078	13	16	specially	specially	ADV
ap-2078	13	17	designed	design	VERB
ap-2078	13	18	pseudo	pseudo	NOUN
ap-2078	13	19	-	-	ADJ
ap-2078	13	20	hermitian	hermitian	ADJ
ap-2078	13	21	potentials	potential	NOUN
ap-2078	13	22	.	.	PUNCT
ap-2078	14	1	in	in	ADP
ap-2078	14	2	another	another	DET
ap-2078	14	3	experiment	experiment	NOUN
ap-2078	14	4	[	[	X
ap-2078	14	5	6	6	NUM
ap-2078	14	6	]	]	PUNCT
ap-2078	14	7	,	,	PUNCT
ap-2078	14	8	the	the	DET
ap-2078	14	9	wave	wave	NOUN
ap-2078	14	10	propagation	propagation	NOUN
ap-2078	14	11	in	in	ADP
ap-2078	14	12	an	an	DET
ap-2078	14	13	active	active	ADJ
ap-2078	14	14	pt	pt	NOUN
ap-2078	14	15	symmetric	symmetric	NOUN
ap-2078	14	16	coupled	couple	VERB
ap-2078	14	17	waveguide	waveguide	ADJ
ap-2078	14	18	system	system	NOUN
ap-2078	14	19	is	be	AUX
ap-2078	14	20	studied	study	VERB
ap-2078	14	21	.	.	PUNCT
ap-2078	15	1	both	both	CCONJ
ap-2078	15	2	spontaneous	spontaneous	ADJ
ap-2078	15	3	pt	pt	NOUN
ap-2078	15	4	symmetry	symmetry	NOUN
ap-2078	15	5	breaking	breaking	NOUN
ap-2078	15	6	and	and	CCONJ
ap-2078	15	7	power	power	NOUN
ap-2078	15	8	oscillations	oscillation	NOUN
ap-2078	15	9	violating	violate	VERB
ap-2078	15	10	left	leave	VERB
ap-2078	15	11	-	-	PUNCT
ap-2078	15	12	right	right	NOUN
ap-2078	15	13	symmetry	symmetry	NOUN
ap-2078	15	14	are	be	AUX
ap-2078	15	15	observed	observe	VERB
ap-2078	15	16	.	.	PUNCT
ap-2078	16	1	moreover	moreover	ADV
ap-2078	16	2	,	,	PUNCT
ap-2078	16	3	the	the	DET
ap-2078	16	4	relation	relation	NOUN
ap-2078	16	5	of	of	ADP
ap-2078	16	6	the	the	DET
ap-2078	16	7	relative	relative	ADJ
ap-2078	16	8	phases	phase	NOUN
ap-2078	16	9	of	of	ADP
ap-2078	16	10	the	the	DET
ap-2078	16	11	eigenstates	eigenstate	NOUN
ap-2078	16	12	of	of	ADP
ap-2078	16	13	the	the	DET
ap-2078	16	14	system	system	NOUN
ap-2078	16	15	to	to	ADP
ap-2078	16	16	their	their	PRON
ap-2078	16	17	distance	distance	NOUN
ap-2078	16	18	from	from	ADP
ap-2078	16	19	the	the	DET
ap-2078	16	20	level	level	NOUN
ap-2078	16	21	crossing	crossing	NOUN
ap-2078	16	22	point	point	NOUN
ap-2078	16	23	is	be	AUX
ap-2078	16	24	obtained	obtain	VERB
ap-2078	16	25	.	.	PUNCT
ap-2078	17	1	the	the	DET
ap-2078	17	2	phase	phase	NOUN
ap-2078	17	3	transition	transition	NOUN
ap-2078	17	4	occurs	occur	VERB
ap-2078	17	5	when	when	SCONJ
ap-2078	17	6	this	this	DET
ap-2078	17	7	point	point	NOUN
ap-2078	17	8	is	be	AUX
ap-2078	17	9	approached	approach	VERB
ap-2078	17	10	.	.	PUNCT
ap-2078	18	1	the	the	DET
ap-2078	18	2	meaning	meaning	NOUN
ap-2078	18	3	of	of	ADP
ap-2078	18	4	these	these	DET
ap-2078	18	5	results	result	NOUN
ap-2078	18	6	for	for	ADP
ap-2078	18	7	a	a	DET
ap-2078	18	8	new	new	ADJ
ap-2078	18	9	generation	generation	NOUN
ap-2078	18	10	of	of	ADP
ap-2078	18	11	integrated	integrate	VERB
ap-2078	18	12	photonic	photonic	ADJ
ap-2078	18	13	devices	device	NOUN
ap-2078	18	14	is	be	AUX
ap-2078	18	15	discussed	discuss	VERB
ap-2078	18	16	in	in	ADP
ap-2078	18	17	[	[	X
ap-2078	18	18	7	7	NUM
ap-2078	18	19	]	]	PUNCT
ap-2078	18	20	.	.	PUNCT
ap-2078	19	1	today	today	NOUN
ap-2078	19	2	we	we	PRON
ap-2078	19	3	have	have	VERB
ap-2078	19	4	many	many	ADJ
ap-2078	19	5	experimental	experimental	ADJ
ap-2078	19	6	and	and	CCONJ
ap-2078	19	7	theoretical	theoretical	ADJ
ap-2078	19	8	studies	study	NOUN
ap-2078	19	9	related	relate	VERB
ap-2078	19	10	to	to	ADP
ap-2078	19	11	this	this	DET
ap-2078	19	12	topic	topic	NOUN
ap-2078	19	13	.	.	PUNCT
ap-2078	20	1	on	on	ADP
ap-2078	20	2	the	the	DET
ap-2078	20	3	other	other	ADJ
ap-2078	20	4	hand	hand	NOUN
ap-2078	20	5	,	,	PUNCT
ap-2078	20	6	non	non	ADJ
ap-2078	20	7	-	-	ADJ
ap-2078	20	8	hermitian	hermitian	ADJ
ap-2078	20	9	operators	operator	NOUN
ap-2078	20	10	are	be	AUX
ap-2078	20	11	known	know	VERB
ap-2078	20	12	to	to	PART
ap-2078	20	13	describe	describe	VERB
ap-2078	20	14	open	open	ADJ
ap-2078	20	15	quantum	quantum	NOUN
ap-2078	20	16	systems	system	NOUN
ap-2078	20	17	in	in	ADP
ap-2078	20	18	a	a	DET
ap-2078	20	19	natural	natural	ADJ
ap-2078	20	20	manner	manner	NOUN
ap-2078	20	21	,	,	PUNCT
ap-2078	20	22	see	see	VERB
ap-2078	20	23	,	,	PUNCT
ap-2078	20	24	e.g.	e.g.	ADV
ap-2078	20	25	,	,	PUNCT
ap-2078	20	26	[	[	X
ap-2078	20	27	8	8	NUM
ap-2078	20	28	]	]	PUNCT
ap-2078	20	29	.	.	PUNCT
ap-2078	21	1	in	in	ADP
ap-2078	21	2	contrast	contrast	NOUN
ap-2078	21	3	to	to	ADP
ap-2078	21	4	the	the	DET
ap-2078	21	5	original	original	ADJ
ap-2078	21	6	papers	paper	NOUN
ap-2078	21	7	more	more	ADJ
ap-2078	21	8	than	than	ADP
ap-2078	21	9	50	50	NUM
ap-2078	21	10	years	year	NOUN
ap-2078	21	11	ago	ago	ADV
ap-2078	21	12	,	,	PUNCT
ap-2078	21	13	statistical	statistical	ADJ
ap-2078	21	14	assumptions	assumption	NOUN
ap-2078	21	15	on	on	ADP
ap-2078	21	16	the	the	DET
ap-2078	21	17	system	system	NOUN
ap-2078	21	18	’s	’s	PART
ap-2078	21	19	states	state	NOUN
ap-2078	21	20	are	be	AUX
ap-2078	21	21	not	not	PART
ap-2078	21	22	at	at	ADV
ap-2078	21	23	all	all	ADV
ap-2078	21	24	necessary	necessary	ADJ
ap-2078	21	25	today	today	NOUN
ap-2078	21	26	[	[	X
ap-2078	21	27	9	9	NUM
ap-2078	21	28	]	]	PUNCT
ap-2078	21	29	due	due	ADP
ap-2078	21	30	to	to	ADP
ap-2078	21	31	the	the	DET
ap-2078	21	32	improved	improved	ADJ
ap-2078	21	33	accuracy	accuracy	NOUN
ap-2078	21	34	of	of	ADP
ap-2078	21	35	the	the	DET
ap-2078	21	36	experimental	experimental	ADJ
ap-2078	21	37	as	as	ADV
ap-2078	21	38	well	well	ADV
ap-2078	21	39	as	as	ADP
ap-2078	21	40	theoretical	theoretical	ADJ
ap-2078	21	41	studies	study	NOUN
ap-2078	21	42	.	.	PUNCT
ap-2078	22	1	in	in	ADP
ap-2078	22	2	the	the	DET
ap-2078	22	3	present	present	ADJ
ap-2078	22	4	-	-	PUNCT
ap-2078	22	5	day	day	NOUN
ap-2078	22	6	papers	paper	NOUN
ap-2078	22	7	,	,	PUNCT
ap-2078	22	8	the	the	DET
ap-2078	22	9	system	system	NOUN
ap-2078	22	10	is	be	AUX
ap-2078	22	11	assumed	assume	VERB
ap-2078	22	12	to	to	PART
ap-2078	22	13	be	be	AUX
ap-2078	22	14	open	open	ADJ
ap-2078	22	15	due	due	ADP
ap-2078	22	16	to	to	ADP
ap-2078	22	17	the	the	DET
ap-2078	22	18	fact	fact	NOUN
ap-2078	22	19	that	that	SCONJ
ap-2078	22	20	it	it	PRON
ap-2078	22	21	is	be	AUX
ap-2078	22	22	embedded	embed	VERB
ap-2078	22	23	into	into	ADP
ap-2078	22	24	the	the	DET
ap-2078	22	25	continuum	continuum	NOUN
ap-2078	22	26	of	of	ADP
ap-2078	22	27	scattering	scatter	VERB
ap-2078	22	28	wavefunctions	wavefunction	NOUN
ap-2078	22	29	into	into	ADP
ap-2078	22	30	which	which	PRON
ap-2078	22	31	the	the	DET
ap-2078	22	32	states	state	NOUN
ap-2078	22	33	of	of	ADP
ap-2078	22	34	the	the	DET
ap-2078	22	35	system	system	NOUN
ap-2078	22	36	can	can	AUX
ap-2078	22	37	decay	decay	VERB
ap-2078	22	38	.	.	PUNCT
ap-2078	23	1	this	this	DET
ap-2078	23	2	environment	environment	NOUN
ap-2078	23	3	exists	exist	VERB
ap-2078	23	4	always	always	ADV
ap-2078	23	5	.	.	PUNCT
ap-2078	24	1	it	it	PRON
ap-2078	24	2	can	can	AUX
ap-2078	24	3	be	be	AUX
ap-2078	24	4	changed	change	VERB
ap-2078	24	5	by	by	ADP
ap-2078	24	6	means	mean	NOUN
ap-2078	24	7	of	of	ADP
ap-2078	24	8	external	external	ADJ
ap-2078	24	9	forces	force	NOUN
ap-2078	24	10	,	,	PUNCT
ap-2078	24	11	but	but	CCONJ
ap-2078	24	12	can	can	AUX
ap-2078	24	13	not	not	PART
ap-2078	24	14	be	be	AUX
ap-2078	24	15	deleted	delete	VERB
ap-2078	24	16	[	[	PUNCT
ap-2078	24	17	10	10	NUM
ap-2078	24	18	]	]	PUNCT
ap-2078	24	19	.	.	PUNCT
ap-2078	25	1	the	the	DET
ap-2078	25	2	states	state	NOUN
ap-2078	25	3	of	of	ADP
ap-2078	25	4	the	the	DET
ap-2078	25	5	system	system	NOUN
ap-2078	25	6	can	can	AUX
ap-2078	25	7	decay	decay	VERB
ap-2078	25	8	due	due	ADP
ap-2078	25	9	to	to	ADP
ap-2078	25	10	their	their	PRON
ap-2078	25	11	coupling	coupling	NOUN
ap-2078	25	12	to	to	ADP
ap-2078	25	13	the	the	DET
ap-2078	25	14	environment	environment	NOUN
ap-2078	25	15	of	of	ADP
ap-2078	25	16	scattering	scatter	VERB
ap-2078	25	17	wavefunctions	wavefunction	NOUN
ap-2078	25	18	but	but	CCONJ
ap-2078	25	19	can	can	AUX
ap-2078	25	20	not	not	PART
ap-2078	25	21	be	be	AUX
ap-2078	25	22	formed	form	VERB
ap-2078	25	23	out	out	ADP
ap-2078	25	24	of	of	ADP
ap-2078	25	25	the	the	DET
ap-2078	25	26	continuum	continuum	NOUN
ap-2078	25	27	.	.	PUNCT
ap-2078	26	1	hence	hence	ADV
ap-2078	26	2	,	,	PUNCT
ap-2078	26	3	the	the	DET
ap-2078	26	4	loss	loss	NOUN
ap-2078	26	5	is	be	AUX
ap-2078	26	6	usually	usually	ADV
ap-2078	26	7	nonvanishing	nonvanishe	VERB
ap-2078	26	8	,	,	PUNCT
ap-2078	26	9	while	while	SCONJ
ap-2078	26	10	the	the	DET
ap-2078	26	11	gain	gain	NOUN
ap-2078	26	12	is	be	AUX
ap-2078	26	13	zero	zero	NUM
ap-2078	26	14	.	.	PUNCT
ap-2078	27	1	the	the	DET
ap-2078	27	2	complex	complex	ADJ
ap-2078	27	3	eigenvalues	eigenvalue	NOUN
ap-2078	27	4	of	of	ADP
ap-2078	27	5	the	the	DET
ap-2078	27	6	non	non	ADJ
ap-2078	27	7	-	-	ADJ
ap-2078	27	8	hermitian	hermitian	ADJ
ap-2078	27	9	hamiltonian	hamiltonian	NOUN
ap-2078	27	10	provide	provide	VERB
ap-2078	27	11	both	both	CCONJ
ap-2078	27	12	the	the	DET
ap-2078	27	13	energy	energy	NOUN
ap-2078	27	14	ei	ei	NOUN
ap-2078	27	15	as	as	ADV
ap-2078	27	16	well	well	ADV
ap-2078	27	17	as	as	ADP
ap-2078	27	18	the	the	DET
ap-2078	27	19	lifetime	lifetime	NOUN
ap-2078	27	20	τi	τi	NOUN
ap-2078	27	21	(	(	PUNCT
ap-2078	27	22	inverse	inverse	NOUN
ap-2078	27	23	proportional	proportional	NOUN
ap-2078	27	24	to	to	ADP
ap-2078	27	25	the	the	DET
ap-2078	27	26	decay	decay	NOUN
ap-2078	27	27	width	width	NOUN
ap-2078	27	28	γi	γi	NOUN
ap-2078	27	29	)	)	PUNCT
ap-2078	27	30	of	of	ADP
ap-2078	27	31	the	the	DET
ap-2078	27	32	eigenstate	eigenstate	PROPN
ap-2078	27	33	i.	i.	PROPN
ap-2078	27	34	recent	recent	ADJ
ap-2078	27	35	studies	study	NOUN
ap-2078	27	36	have	have	AUX
ap-2078	27	37	shown	show	VERB
ap-2078	27	38	the	the	DET
ap-2078	27	39	important	important	ADJ
ap-2078	27	40	role	role	NOUN
ap-2078	27	41	the	the	DET
ap-2078	27	42	singular	singular	NOUN
ap-2078	27	43	points	point	VERB
ap-2078	27	44	in	in	ADP
ap-2078	27	45	the	the	DET
ap-2078	27	46	continuum	continuum	ADJ
ap-2078	27	47	play	play	NOUN
ap-2078	27	48	for	for	ADP
ap-2078	27	49	the	the	DET
ap-2078	27	50	dynamics	dynamic	NOUN
ap-2078	27	51	of	of	ADP
ap-2078	27	52	open	open	ADJ
ap-2078	27	53	quantum	quantum	NOUN
ap-2078	27	54	systems	system	NOUN
ap-2078	27	55	,	,	PUNCT
ap-2078	27	56	see	see	VERB
ap-2078	27	57	,	,	PUNCT
ap-2078	27	58	e.g.	e.g.	ADV
ap-2078	27	59	,	,	PUNCT
ap-2078	27	60	the	the	DET
ap-2078	27	61	review	review	NOUN
ap-2078	27	62	[	[	X
ap-2078	27	63	10	10	NUM
ap-2078	27	64	]	]	PUNCT
ap-2078	27	65	.	.	PUNCT
ap-2078	28	1	these	these	DET
ap-2078	28	2	singular	singular	ADJ
ap-2078	28	3	points	point	NOUN
ap-2078	28	4	are	be	AUX
ap-2078	28	5	usually	usually	ADV
ap-2078	28	6	called	call	VERB
ap-2078	28	7	exceptional	exceptional	ADJ
ap-2078	28	8	points	point	NOUN
ap-2078	28	9	(	(	PUNCT
ap-2078	28	10	eps	eps	PROPN
ap-2078	28	11	)	)	PUNCT
ap-2078	28	12	after	after	ADP
ap-2078	28	13	kato	kato	PROPN
ap-2078	28	14	,	,	PUNCT
ap-2078	28	15	who	who	PRON
ap-2078	28	16	studied	study	VERB
ap-2078	28	17	their	their	PRON
ap-2078	28	18	mathematical	mathematical	ADJ
ap-2078	28	19	properties	property	NOUN
ap-2078	28	20	[	[	X
ap-2078	28	21	11	11	NUM
ap-2078	28	22	]	]	X
ap-2078	28	23	many	many	ADJ
ap-2078	28	24	years	year	NOUN
ap-2078	28	25	ago	ago	ADV
ap-2078	28	26	.	.	PUNCT
ap-2078	29	1	the	the	DET
ap-2078	29	2	relation	relation	NOUN
ap-2078	29	3	of	of	ADP
ap-2078	29	4	eps	eps	PROPN
ap-2078	29	5	to	to	ADP
ap-2078	29	6	pt	pt	PROPN
ap-2078	29	7	symmetry	symmetry	NOUN
ap-2078	29	8	breaking	break	VERB
ap-2078	29	9	in	in	ADP
ap-2078	29	10	optical	optical	ADJ
ap-2078	29	11	systems	system	NOUN
ap-2078	29	12	is	be	AUX
ap-2078	29	13	considered	consider	VERB
ap-2078	29	14	already	already	ADV
ap-2078	29	15	in	in	ADP
ap-2078	29	16	the	the	DET
ap-2078	29	17	first	first	ADJ
ap-2078	29	18	papers	paper	NOUN
ap-2078	29	19	[	[	X
ap-2078	29	20	6	6	NUM
ap-2078	29	21	,	,	PUNCT
ap-2078	29	22	7	7	NUM
ap-2078	29	23	]	]	PUNCT
ap-2078	29	24	.	.	PUNCT
ap-2078	30	1	nevertheless	nevertheless	ADV
ap-2078	30	2	,	,	PUNCT
ap-2078	30	3	the	the	DET
ap-2078	30	4	relation	relation	NOUN
ap-2078	30	5	between	between	ADP
ap-2078	30	6	the	the	DET
ap-2078	30	7	dynamical	dynamical	ADJ
ap-2078	30	8	properties	property	NOUN
ap-2078	30	9	of	of	ADP
ap-2078	30	10	open	open	ADJ
ap-2078	30	11	quantum	quantum	NOUN
ap-2078	30	12	systems	system	NOUN
ap-2078	30	13	and	and	CCONJ
ap-2078	30	14	those	those	PRON
ap-2078	30	15	of	of	ADP
ap-2078	30	16	pt	pt	X
ap-2078	30	17	symmetric	symmetric	ADJ
ap-2078	30	18	systems	system	NOUN
ap-2078	30	19	has	have	AUX
ap-2078	30	20	not	not	PART
ap-2078	30	21	been	be	AUX
ap-2078	30	22	considered	consider	VERB
ap-2078	30	23	thoroughly	thoroughly	ADV
ap-2078	30	24	up	up	ADP
ap-2078	30	25	to	to	ADP
ap-2078	30	26	now	now	ADV
ap-2078	30	27	.	.	PUNCT
ap-2078	31	1	it	it	PRON
ap-2078	31	2	is	be	AUX
ap-2078	31	3	the	the	DET
ap-2078	31	4	aim	aim	NOUN
ap-2078	31	5	of	of	ADP
ap-2078	31	6	the	the	DET
ap-2078	31	7	present	present	ADJ
ap-2078	31	8	paper	paper	NOUN
ap-2078	31	9	to	to	PART
ap-2078	31	10	compare	compare	VERB
ap-2078	31	11	directly	directly	ADV
ap-2078	31	12	the	the	DET
ap-2078	31	13	influence	influence	NOUN
ap-2078	31	14	of	of	ADP
ap-2078	31	15	eps	eps	PROPN
ap-2078	31	16	onto	onto	ADP
ap-2078	31	17	the	the	DET
ap-2078	31	18	dynamics	dynamic	NOUN
ap-2078	31	19	of	of	ADP
ap-2078	31	20	open	open	ADJ
ap-2078	31	21	quantum	quantum	NOUN
ap-2078	31	22	systems	system	NOUN
ap-2078	31	23	with	with	ADP
ap-2078	31	24	that	that	PRON
ap-2078	31	25	onto	onto	ADP
ap-2078	31	26	pt	pt	NOUN
ap-2078	31	27	symmetry	symmetry	NOUN
ap-2078	31	28	breaking	break	VERB
ap-2078	31	29	in	in	ADP
ap-2078	31	30	pt	pt	PROPN
ap-2078	31	31	symmetric	symmetric	ADJ
ap-2078	31	32	systems	system	NOUN
ap-2078	31	33	.	.	PUNCT
ap-2078	32	1	the	the	DET
ap-2078	32	2	comparison	comparison	NOUN
ap-2078	32	3	is	be	AUX
ap-2078	32	4	performed	perform	VERB
ap-2078	32	5	on	on	ADP
ap-2078	32	6	the	the	DET
ap-2078	32	7	basis	basis	NOUN
ap-2078	32	8	of	of	ADP
ap-2078	32	9	simple	simple	ADJ
ap-2078	32	10	models	model	NOUN
ap-2078	32	11	with	with	ADP
ap-2078	32	12	only	only	ADV
ap-2078	32	13	106	106	NUM
ap-2078	32	14	http://dx.doi.org/10.14311/ap.2014.54.0106	http://dx.doi.org/10.14311/ap.2014.54.0106	NOUN
ap-2078	32	15	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2078	32	16	vol	vol	NOUN
ap-2078	32	17	.	.	PUNCT
ap-2078	33	1	54	54	NUM
ap-2078	34	1	no	no	NOUN
ap-2078	34	2	.	.	PUNCT
ap-2078	35	1	2/2014	2/2014	NUM
ap-2078	35	2	exceptional	exceptional	ADJ
ap-2078	35	3	points	point	NOUN
ap-2078	35	4	in	in	ADP
ap-2078	35	5	open	open	ADJ
ap-2078	35	6	and	and	CCONJ
ap-2078	35	7	pt	pt	ADJ
ap-2078	35	8	-	-	PUNCT
ap-2078	35	9	symmetric	symmetric	ADJ
ap-2078	35	10	systems	system	NOUN
ap-2078	35	11	two	two	NUM
ap-2078	35	12	levels	level	NOUN
ap-2078	35	13	coupled	couple	VERB
ap-2078	35	14	to	to	ADP
ap-2078	35	15	one	one	NUM
ap-2078	35	16	common	common	ADJ
ap-2078	35	17	channel	channel	NOUN
ap-2078	35	18	.	.	PUNCT
ap-2078	36	1	in	in	ADP
ap-2078	36	2	both	both	DET
ap-2078	36	3	cases	case	NOUN
ap-2078	36	4	,	,	PUNCT
ap-2078	36	5	the	the	DET
ap-2078	36	6	hamiltonian	hamiltonian	NOUN
ap-2078	36	7	is	be	AUX
ap-2078	36	8	given	give	VERB
ap-2078	36	9	by	by	ADP
ap-2078	36	10	a	a	DET
ap-2078	36	11	2×	2×	NUM
ap-2078	36	12	2	2	NUM
ap-2078	36	13	matrix	matrix	NOUN
ap-2078	36	14	in	in	ADP
ap-2078	36	15	the	the	DET
ap-2078	36	16	form	form	NOUN
ap-2078	36	17	it	it	PRON
ap-2078	36	18	is	be	AUX
ap-2078	36	19	used	use	VERB
ap-2078	36	20	usually	usually	ADV
ap-2078	36	21	in	in	ADP
ap-2078	36	22	the	the	DET
ap-2078	36	23	literature	literature	NOUN
ap-2078	36	24	.	.	PUNCT
ap-2078	37	1	we	we	PRON
ap-2078	37	2	will	will	AUX
ap-2078	37	3	follow	follow	VERB
ap-2078	37	4	here	here	ADV
ap-2078	37	5	the	the	DET
ap-2078	37	6	representation	representation	NOUN
ap-2078	37	7	given	give	VERB
ap-2078	37	8	for	for	ADP
ap-2078	37	9	open	open	ADJ
ap-2078	37	10	quantum	quantum	NOUN
ap-2078	37	11	systems	system	NOUN
ap-2078	37	12	in	in	ADP
ap-2078	37	13	[	[	X
ap-2078	37	14	10	10	NUM
ap-2078	37	15	]	]	PUNCT
ap-2078	37	16	and	and	CCONJ
ap-2078	37	17	for	for	ADP
ap-2078	37	18	pt	pt	X
ap-2078	37	19	symmetric	symmetric	ADJ
ap-2078	37	20	systems	system	NOUN
ap-2078	37	21	used	use	VERB
ap-2078	37	22	in	in	ADP
ap-2078	37	23	[	[	X
ap-2078	37	24	12	12	NUM
ap-2078	37	25	]	]	PUNCT
ap-2078	37	26	.	.	PUNCT
ap-2078	38	1	in	in	ADP
ap-2078	38	2	sect	sect	NOUN
ap-2078	38	3	.	.	PUNCT
ap-2078	39	1	2	2	NUM
ap-2078	39	2	,	,	PUNCT
ap-2078	39	3	the	the	DET
ap-2078	39	4	non	non	ADJ
ap-2078	39	5	-	-	ADJ
ap-2078	39	6	hermitian	hermitian	ADJ
ap-2078	39	7	hamiltonian	hamiltonian	NOUN
ap-2078	39	8	of	of	ADP
ap-2078	39	9	an	an	DET
ap-2078	39	10	open	open	ADJ
ap-2078	39	11	quantum	quantum	NOUN
ap-2078	39	12	system	system	NOUN
ap-2078	39	13	is	be	AUX
ap-2078	39	14	considered	consider	VERB
ap-2078	39	15	.	.	PUNCT
ap-2078	40	1	the	the	DET
ap-2078	40	2	properties	property	NOUN
ap-2078	40	3	of	of	ADP
ap-2078	40	4	its	its	PRON
ap-2078	40	5	eigenvalues	eigenvalue	NOUN
ap-2078	40	6	and	and	CCONJ
ap-2078	40	7	eigenfunctions	eigenfunction	NOUN
ap-2078	40	8	are	be	AUX
ap-2078	40	9	sketched	sketch	VERB
ap-2078	40	10	,	,	PUNCT
ap-2078	40	11	above	above	ADP
ap-2078	40	12	all	all	PRON
ap-2078	40	13	in	in	ADP
ap-2078	40	14	the	the	DET
ap-2078	40	15	neighborhood	neighborhood	NOUN
ap-2078	40	16	of	of	ADP
ap-2078	40	17	one	one	NUM
ap-2078	40	18	or	or	CCONJ
ap-2078	40	19	more	more	ADJ
ap-2078	40	20	eps	ep	NOUN
ap-2078	40	21	.	.	PROPN
ap-2078	40	22	in	in	ADP
ap-2078	40	23	the	the	DET
ap-2078	40	24	following	follow	VERB
ap-2078	40	25	section	section	NOUN
ap-2078	40	26	3	3	NUM
ap-2078	40	27	,	,	PUNCT
ap-2078	40	28	two	two	NUM
ap-2078	40	29	different	different	ADJ
ap-2078	40	30	non	non	ADJ
ap-2078	40	31	-	-	ADJ
ap-2078	40	32	hermitian	hermitian	ADJ
ap-2078	40	33	operators	operator	NOUN
ap-2078	40	34	that	that	PRON
ap-2078	40	35	are	be	AUX
ap-2078	40	36	used	use	VERB
ap-2078	40	37	in	in	ADP
ap-2078	40	38	the	the	DET
ap-2078	40	39	description	description	NOUN
ap-2078	40	40	of	of	ADP
ap-2078	40	41	pt	pt	PROPN
ap-2078	40	42	symmetric	symmetric	ADJ
ap-2078	40	43	systems	system	NOUN
ap-2078	40	44	,	,	PUNCT
ap-2078	40	45	are	be	AUX
ap-2078	40	46	considered	consider	VERB
ap-2078	40	47	.	.	PUNCT
ap-2078	41	1	the	the	DET
ap-2078	41	2	similarities	similarity	NOUN
ap-2078	41	3	and	and	CCONJ
ap-2078	41	4	differences	difference	NOUN
ap-2078	41	5	to	to	ADP
ap-2078	41	6	the	the	DET
ap-2078	41	7	hamiltonian	hamiltonian	NOUN
ap-2078	41	8	of	of	ADP
ap-2078	41	9	an	an	DET
ap-2078	41	10	open	open	ADJ
ap-2078	41	11	quantum	quantum	NOUN
ap-2078	41	12	system	system	NOUN
ap-2078	41	13	are	be	AUX
ap-2078	41	14	discussed	discuss	VERB
ap-2078	41	15	on	on	ADP
ap-2078	41	16	the	the	DET
ap-2078	41	17	basis	basis	NOUN
ap-2078	41	18	of	of	ADP
ap-2078	41	19	analytical	analytical	ADJ
ap-2078	41	20	studies	study	NOUN
ap-2078	41	21	(	(	PUNCT
ap-2078	41	22	when	when	SCONJ
ap-2078	41	23	possible	possible	ADJ
ap-2078	41	24	)	)	PUNCT
ap-2078	41	25	as	as	ADV
ap-2078	41	26	well	well	ADV
ap-2078	41	27	as	as	ADP
ap-2078	41	28	by	by	ADP
ap-2078	41	29	means	mean	NOUN
ap-2078	41	30	of	of	ADP
ap-2078	41	31	numerical	numerical	ADJ
ap-2078	41	32	results	result	NOUN
ap-2078	41	33	.	.	PUNCT
ap-2078	42	1	the	the	DET
ap-2078	42	2	results	result	NOUN
ap-2078	42	3	are	be	AUX
ap-2078	42	4	summarized	summarize	VERB
ap-2078	42	5	in	in	ADP
ap-2078	42	6	the	the	DET
ap-2078	42	7	last	last	ADJ
ap-2078	42	8	section	section	NOUN
ap-2078	42	9	.	.	PUNCT
ap-2078	43	1	2	2	X
ap-2078	43	2	.	.	X
ap-2078	43	3	exceptional	exceptional	ADJ
ap-2078	43	4	points	point	NOUN
ap-2078	43	5	in	in	ADP
ap-2078	43	6	an	an	DET
ap-2078	43	7	open	open	ADJ
ap-2078	43	8	quantum	quantum	NOUN
ap-2078	43	9	system	system	NOUN
ap-2078	43	10	in	in	ADP
ap-2078	43	11	an	an	DET
ap-2078	43	12	open	open	ADJ
ap-2078	43	13	quantum	quantum	NOUN
ap-2078	43	14	system	system	NOUN
ap-2078	43	15	,	,	PUNCT
ap-2078	43	16	the	the	DET
ap-2078	43	17	discrete	discrete	ADJ
ap-2078	43	18	states	state	NOUN
ap-2078	43	19	described	describe	VERB
ap-2078	43	20	by	by	ADP
ap-2078	43	21	a	a	DET
ap-2078	43	22	hermitian	hermitian	ADJ
ap-2078	43	23	hamiltonian	hamiltonian	NOUN
ap-2078	43	24	hb	hb	PROPN
ap-2078	43	25	,	,	PUNCT
ap-2078	43	26	are	be	AUX
ap-2078	43	27	embedded	embed	VERB
ap-2078	43	28	into	into	ADP
ap-2078	43	29	the	the	DET
ap-2078	43	30	continuum	continuum	NOUN
ap-2078	43	31	of	of	ADP
ap-2078	43	32	scattering	scatter	VERB
ap-2078	43	33	wavefunctions	wavefunction	NOUN
ap-2078	43	34	,	,	PUNCT
ap-2078	43	35	which	which	PRON
ap-2078	43	36	exists	exist	VERB
ap-2078	43	37	always	always	ADV
ap-2078	43	38	and	and	CCONJ
ap-2078	43	39	can	can	AUX
ap-2078	43	40	not	not	PART
ap-2078	43	41	be	be	AUX
ap-2078	43	42	deleted	delete	VERB
ap-2078	43	43	.	.	PUNCT
ap-2078	44	1	due	due	ADP
ap-2078	44	2	to	to	ADP
ap-2078	44	3	this	this	DET
ap-2078	44	4	fact	fact	NOUN
ap-2078	44	5	the	the	DET
ap-2078	44	6	discrete	discrete	ADJ
ap-2078	44	7	states	state	NOUN
ap-2078	44	8	turn	turn	VERB
ap-2078	44	9	into	into	ADP
ap-2078	44	10	resonance	resonance	NOUN
ap-2078	44	11	states	state	VERB
ap-2078	44	12	the	the	DET
ap-2078	44	13	lifetime	lifetime	NOUN
ap-2078	44	14	of	of	ADP
ap-2078	44	15	which	which	PRON
ap-2078	44	16	is	be	AUX
ap-2078	44	17	usually	usually	ADV
ap-2078	44	18	finite	finite	ADJ
ap-2078	44	19	.	.	PUNCT
ap-2078	45	1	the	the	DET
ap-2078	45	2	hamiltonian	hamiltonian	ADJ
ap-2078	45	3	h	h	NOUN
ap-2078	45	4	of	of	ADP
ap-2078	45	5	the	the	DET
ap-2078	45	6	whole	whole	ADJ
ap-2078	45	7	system	system	NOUN
ap-2078	45	8	consisting	consist	VERB
ap-2078	45	9	of	of	ADP
ap-2078	45	10	the	the	DET
ap-2078	45	11	two	two	NUM
ap-2078	45	12	subsystems	subsystem	NOUN
ap-2078	45	13	is	be	AUX
ap-2078	45	14	non	non	ADJ
ap-2078	45	15	-	-	ADJ
ap-2078	45	16	hermitian	hermitian	ADJ
ap-2078	45	17	.	.	PUNCT
ap-2078	46	1	its	its	PRON
ap-2078	46	2	eigenvalues	eigenvalue	NOUN
ap-2078	46	3	are	be	AUX
ap-2078	46	4	complex	complex	ADJ
ap-2078	46	5	and	and	CCONJ
ap-2078	46	6	provide	provide	VERB
ap-2078	46	7	not	not	PART
ap-2078	46	8	only	only	ADV
ap-2078	46	9	the	the	DET
ap-2078	46	10	energies	energy	NOUN
ap-2078	46	11	of	of	ADP
ap-2078	46	12	the	the	DET
ap-2078	46	13	states	state	NOUN
ap-2078	46	14	but	but	CCONJ
ap-2078	46	15	also	also	ADV
ap-2078	46	16	their	their	PRON
ap-2078	46	17	lifetimes	lifetime	NOUN
ap-2078	46	18	(	(	PUNCT
ap-2078	46	19	being	be	AUX
ap-2078	46	20	inverse	inverse	ADJ
ap-2078	46	21	proportional	proportional	NOUN
ap-2078	46	22	to	to	ADP
ap-2078	46	23	the	the	DET
ap-2078	46	24	widths	width	NOUN
ap-2078	46	25	)	)	PUNCT
ap-2078	46	26	.	.	PUNCT
ap-2078	47	1	the	the	DET
ap-2078	47	2	hamiltonian	hamiltonian	NOUN
ap-2078	47	3	of	of	ADP
ap-2078	47	4	an	an	DET
ap-2078	47	5	open	open	ADJ
ap-2078	47	6	quantum	quantum	NOUN
ap-2078	47	7	system	system	NOUN
ap-2078	47	8	reads	read	VERB
ap-2078	47	9	[	[	X
ap-2078	47	10	10	10	NUM
ap-2078	47	11	]	]	X
ap-2078	47	12	h	h	NOUN
ap-2078	47	13	=	=	PUNCT
ap-2078	47	14	hb	hb	PROPN
ap-2078	48	1	+	+	NUM
ap-2078	48	2	vbcg	vbcg	PROPN
ap-2078	48	3	(	(	PUNCT
ap-2078	48	4	+	+	NOUN
ap-2078	48	5	)	)	PUNCT
ap-2078	48	6	c	c	PROPN
ap-2078	48	7	vcb	vcb	PROPN
ap-2078	48	8	,	,	PUNCT
ap-2078	48	9	(	(	PUNCT
ap-2078	48	10	1	1	X
ap-2078	48	11	)	)	PUNCT
ap-2078	48	12	where	where	SCONJ
ap-2078	48	13	vbc	vbc	VERB
ap-2078	48	14	and	and	CCONJ
ap-2078	48	15	vcb	vcb	PROPN
ap-2078	48	16	stand	stand	VERB
ap-2078	48	17	for	for	ADP
ap-2078	48	18	the	the	DET
ap-2078	48	19	interaction	interaction	NOUN
ap-2078	48	20	between	between	ADP
ap-2078	48	21	system	system	NOUN
ap-2078	48	22	and	and	CCONJ
ap-2078	48	23	environment	environment	NOUN
ap-2078	48	24	and	and	CCONJ
ap-2078	48	25	g(+	g(+	NOUN
ap-2078	48	26	)	)	PUNCT
ap-2078	48	27	c	c	PROPN
ap-2078	48	28	is	be	AUX
ap-2078	48	29	the	the	DET
ap-2078	48	30	green	green	ADJ
ap-2078	48	31	function	function	NOUN
ap-2078	48	32	in	in	ADP
ap-2078	48	33	the	the	DET
ap-2078	48	34	environment	environment	NOUN
ap-2078	48	35	.	.	PUNCT
ap-2078	49	1	the	the	DET
ap-2078	49	2	so	so	ADV
ap-2078	49	3	-	-	PUNCT
ap-2078	49	4	called	call	VERB
ap-2078	49	5	internal	internal	ADJ
ap-2078	49	6	(	(	PUNCT
ap-2078	49	7	first	first	ADJ
ap-2078	49	8	-	-	PUNCT
ap-2078	49	9	order	order	NOUN
ap-2078	49	10	)	)	PUNCT
ap-2078	49	11	interaction	interaction	NOUN
ap-2078	49	12	between	between	ADP
ap-2078	49	13	two	two	NUM
ap-2078	49	14	states	state	NOUN
ap-2078	49	15	i	i	PRON
ap-2078	49	16	and	and	CCONJ
ap-2078	49	17	j	j	PROPN
ap-2078	49	18	is	be	AUX
ap-2078	49	19	involved	involve	VERB
ap-2078	49	20	in	in	ADP
ap-2078	49	21	hb	hb	PROPN
ap-2078	49	22	while	while	SCONJ
ap-2078	49	23	their	their	PRON
ap-2078	49	24	external	external	ADJ
ap-2078	49	25	(	(	PUNCT
ap-2078	49	26	second	second	ADJ
ap-2078	49	27	-	-	PUNCT
ap-2078	49	28	order	order	NOUN
ap-2078	49	29	)	)	PUNCT
ap-2078	49	30	interaction	interaction	NOUN
ap-2078	49	31	via	via	ADP
ap-2078	49	32	the	the	DET
ap-2078	49	33	common	common	ADJ
ap-2078	49	34	environment	environment	NOUN
ap-2078	49	35	is	be	AUX
ap-2078	49	36	described	describe	VERB
ap-2078	49	37	by	by	ADP
ap-2078	49	38	the	the	DET
ap-2078	49	39	last	last	ADJ
ap-2078	49	40	term	term	NOUN
ap-2078	49	41	of	of	ADP
ap-2078	49	42	(	(	PUNCT
ap-2078	49	43	1	1	NUM
ap-2078	49	44	)	)	PUNCT
ap-2078	49	45	.	.	PUNCT
ap-2078	50	1	generally	generally	ADV
ap-2078	50	2	,	,	PUNCT
ap-2078	50	3	the	the	DET
ap-2078	50	4	coupling	coupling	NOUN
ap-2078	50	5	matrix	matrix	NOUN
ap-2078	50	6	elements	element	NOUN
ap-2078	50	7	of	of	ADP
ap-2078	50	8	the	the	DET
ap-2078	50	9	external	external	ADJ
ap-2078	50	10	interaction	interaction	NOUN
ap-2078	50	11	consist	consist	NOUN
ap-2078	50	12	of	of	ADP
ap-2078	50	13	the	the	DET
ap-2078	50	14	principal	principal	ADJ
ap-2078	50	15	value	value	NOUN
ap-2078	50	16	integral	integral	ADJ
ap-2078	50	17	re〈φbi	re〈φbi	NOUN
ap-2078	50	18	|h|φbj	|h|φbj	PRON
ap-2078	50	19	〉	〉	PROPN
ap-2078	50	20	−ebi	−ebi	NOUN
ap-2078	50	21	δij	δij	NOUN
ap-2078	51	1	=	=	SYM
ap-2078	51	2	1	1	NUM
ap-2078	51	3	2πp	2πp	NOUN
ap-2078	51	4	∫	∫	PROPN
ap-2078	51	5	ε′	ε′	PART
ap-2078	51	6	c	c	PROPN
ap-2078	51	7	εc	εc	PROPN
ap-2078	51	8	de′	de′	PROPN
ap-2078	51	9	γ0	γ0	PROPN
ap-2078	51	10	icγ	icγ	VERB
ap-2078	51	11	0	0	NUM
ap-2078	51	12	jc	jc	PROPN
ap-2078	51	13	e	e	PROPN
ap-2078	51	14	−	−	PROPN
ap-2078	51	15	e′	e′	X
ap-2078	51	16	,	,	PUNCT
ap-2078	51	17	(	(	PUNCT
ap-2078	51	18	2	2	X
ap-2078	51	19	)	)	PUNCT
ap-2078	51	20	which	which	PRON
ap-2078	51	21	is	be	AUX
ap-2078	51	22	real	real	ADJ
ap-2078	51	23	,	,	PUNCT
ap-2078	51	24	and	and	CCONJ
ap-2078	51	25	the	the	DET
ap-2078	51	26	residuum	residuum	NOUN
ap-2078	51	27	im〈φbi	im〈φbi	NOUN
ap-2078	51	28	|h|φbj	|h|φbj	NOUN
ap-2078	51	29	〉	〉	NOUN
ap-2078	51	30	=	=	SYM
ap-2078	51	31	−1	−1	NOUN
ap-2078	51	32	2γ	2γ	NOUN
ap-2078	51	33	0	0	NUM
ap-2078	51	34	icγ	icγ	NOUN
ap-2078	51	35	0	0	NUM
ap-2078	51	36	jc	jc	PROPN
ap-2078	51	37	,	,	PUNCT
ap-2078	51	38	(	(	PUNCT
ap-2078	51	39	3	3	X
ap-2078	51	40	)	)	PUNCT
ap-2078	51	41	which	which	PRON
ap-2078	51	42	is	be	AUX
ap-2078	51	43	imaginary	imaginary	ADJ
ap-2078	51	44	[	[	X
ap-2078	51	45	10	10	NUM
ap-2078	51	46	]	]	PUNCT
ap-2078	51	47	.	.	PUNCT
ap-2078	52	1	here	here	ADV
ap-2078	52	2	,	,	PUNCT
ap-2078	52	3	the	the	DET
ap-2078	52	4	φbi	φbi	NOUN
ap-2078	52	5	and	and	CCONJ
ap-2078	52	6	ebi	ebi	NOUN
ap-2078	52	7	are	be	AUX
ap-2078	52	8	the	the	DET
ap-2078	52	9	eigenfunctions	eigenfunction	NOUN
ap-2078	52	10	and	and	CCONJ
ap-2078	52	11	(	(	PUNCT
ap-2078	52	12	discrete	discrete	NOUN
ap-2078	52	13	)	)	PUNCT
ap-2078	52	14	eigenvalues	eigenvalue	NOUN
ap-2078	52	15	,	,	PUNCT
ap-2078	52	16	respectively	respectively	ADV
ap-2078	52	17	,	,	PUNCT
ap-2078	52	18	of	of	ADP
ap-2078	52	19	the	the	DET
ap-2078	52	20	hermitian	hermitian	ADJ
ap-2078	52	21	hamiltonian	hamiltonian	PROPN
ap-2078	52	22	hb	hb	X
ap-2078	52	23	which	which	PRON
ap-2078	52	24	describes	describe	VERB
ap-2078	52	25	the	the	DET
ap-2078	52	26	states	state	NOUN
ap-2078	52	27	in	in	ADP
ap-2078	52	28	the	the	DET
ap-2078	52	29	subspace	subspace	NOUN
ap-2078	52	30	of	of	ADP
ap-2078	52	31	discrete	discrete	ADJ
ap-2078	52	32	states	state	NOUN
ap-2078	52	33	without	without	ADP
ap-2078	52	34	any	any	DET
ap-2078	52	35	interaction	interaction	NOUN
ap-2078	52	36	of	of	ADP
ap-2078	52	37	the	the	DET
ap-2078	52	38	states	state	NOUN
ap-2078	52	39	via	via	ADP
ap-2078	52	40	the	the	DET
ap-2078	52	41	environment	environment	NOUN
ap-2078	52	42	.	.	PUNCT
ap-2078	53	1	the	the	DET
ap-2078	53	2	γ0	γ0	PROPN
ap-2078	53	3	ic	ic	PROPN
ap-2078	53	4	≡	≡	PROPN
ap-2078	53	5	√	√	PROPN
ap-2078	53	6	2π〈φbi	2π〈φbi	PROPN
ap-2078	53	7	|v	|v	PROPN
ap-2078	53	8	|ξec	|ξec	PROPN
ap-2078	53	9	〉	〉	PROPN
ap-2078	53	10	are	be	AUX
ap-2078	53	11	the	the	DET
ap-2078	53	12	(	(	PUNCT
ap-2078	53	13	energy	energy	NOUN
ap-2078	53	14	-	-	PUNCT
ap-2078	53	15	dependent	dependent	ADJ
ap-2078	53	16	)	)	PUNCT
ap-2078	53	17	coupling	couple	VERB
ap-2078	53	18	matrix	matrix	NOUN
ap-2078	53	19	elements	element	NOUN
ap-2078	53	20	between	between	ADP
ap-2078	53	21	the	the	DET
ap-2078	53	22	discrete	discrete	ADJ
ap-2078	53	23	states	state	NOUN
ap-2078	53	24	i	i	PRON
ap-2078	53	25	of	of	ADP
ap-2078	53	26	the	the	DET
ap-2078	53	27	system	system	NOUN
ap-2078	53	28	and	and	CCONJ
ap-2078	53	29	the	the	DET
ap-2078	53	30	environment	environment	NOUN
ap-2078	53	31	of	of	ADP
ap-2078	53	32	scattering	scatter	VERB
ap-2078	53	33	wavefunctions	wavefunction	NOUN
ap-2078	53	34	ξec	ξec	NOUN
ap-2078	53	35	.	.	PUNCT
ap-2078	54	1	the	the	DET
ap-2078	54	2	γ0	γ0	PROPN
ap-2078	54	3	kc	kc	AUX
ap-2078	54	4	have	have	VERB
ap-2078	54	5	to	to	PART
ap-2078	54	6	be	be	AUX
ap-2078	54	7	calculated	calculate	VERB
ap-2078	54	8	for	for	ADP
ap-2078	54	9	every	every	DET
ap-2078	54	10	state	state	NOUN
ap-2078	54	11	i	i	PRON
ap-2078	54	12	and	and	CCONJ
ap-2078	54	13	for	for	ADP
ap-2078	54	14	each	each	DET
ap-2078	54	15	channel	channel	NOUN
ap-2078	54	16	c	c	NOUN
ap-2078	54	17	(	(	PUNCT
ap-2078	54	18	for	for	ADP
ap-2078	54	19	details	detail	NOUN
ap-2078	54	20	see	see	VERB
ap-2078	54	21	[	[	X
ap-2078	54	22	10	10	NUM
ap-2078	54	23	]	]	NUM
ap-2078	54	24	)	)	PUNCT
ap-2078	54	25	.	.	PUNCT
ap-2078	55	1	when	when	SCONJ
ap-2078	55	2	i	i	PRON
ap-2078	55	3	=	=	SYM
ap-2078	55	4	j	j	PROPN
ap-2078	55	5	,	,	PUNCT
ap-2078	55	6	(	(	PUNCT
ap-2078	55	7	2	2	NUM
ap-2078	55	8	)	)	PUNCT
ap-2078	55	9	and	and	CCONJ
ap-2078	55	10	(	(	PUNCT
ap-2078	55	11	3	3	X
ap-2078	55	12	)	)	PUNCT
ap-2078	55	13	give	give	VERB
ap-2078	55	14	the	the	DET
ap-2078	55	15	selfenergy	selfenergy	NOUN
ap-2078	55	16	of	of	ADP
ap-2078	55	17	the	the	DET
ap-2078	55	18	state	state	NOUN
ap-2078	55	19	i.	i.	NOUN
ap-2078	55	20	the	the	DET
ap-2078	55	21	coupling	coupling	NOUN
ap-2078	55	22	matrix	matrix	NOUN
ap-2078	55	23	elements	element	NOUN
ap-2078	55	24	(	(	PUNCT
ap-2078	55	25	2	2	NUM
ap-2078	55	26	)	)	PUNCT
ap-2078	55	27	and	and	CCONJ
ap-2078	55	28	(	(	PUNCT
ap-2078	55	29	3	3	X
ap-2078	55	30	)	)	PUNCT
ap-2078	55	31	(	(	PUNCT
ap-2078	55	32	by	by	ADP
ap-2078	55	33	adding	add	VERB
ap-2078	55	34	ebi	ebi	PROPN
ap-2078	55	35	δij	δij	NOUN
ap-2078	55	36	in	in	ADP
ap-2078	55	37	the	the	DET
ap-2078	55	38	first	first	ADJ
ap-2078	55	39	case	case	NOUN
ap-2078	55	40	)	)	PUNCT
ap-2078	55	41	are	be	AUX
ap-2078	55	42	often	often	ADV
ap-2078	55	43	simulated	simulate	VERB
ap-2078	55	44	by	by	ADP
ap-2078	55	45	complex	complex	ADJ
ap-2078	55	46	values	value	NOUN
ap-2078	55	47	ωij	ωij	VERB
ap-2078	55	48	.	.	PUNCT
ap-2078	56	1	in	in	ADP
ap-2078	56	2	order	order	NOUN
ap-2078	56	3	to	to	PART
ap-2078	56	4	study	study	VERB
ap-2078	56	5	the	the	DET
ap-2078	56	6	interaction	interaction	NOUN
ap-2078	56	7	of	of	ADP
ap-2078	56	8	two	two	NUM
ap-2078	56	9	states	state	NOUN
ap-2078	56	10	via	via	ADP
ap-2078	56	11	one	one	NUM
ap-2078	56	12	common	common	ADJ
ap-2078	56	13	environment	environment	NOUN
ap-2078	56	14	it	it	PRON
ap-2078	56	15	is	be	AUX
ap-2078	56	16	convenient	convenient	ADJ
ap-2078	56	17	to	to	PART
ap-2078	56	18	start	start	VERB
ap-2078	56	19	from	from	ADP
ap-2078	56	20	two	two	NUM
ap-2078	56	21	resonance	resonance	NOUN
ap-2078	56	22	states	state	NOUN
ap-2078	56	23	(	(	PUNCT
ap-2078	56	24	instead	instead	ADV
ap-2078	56	25	of	of	ADP
ap-2078	56	26	two	two	NUM
ap-2078	56	27	discrete	discrete	ADJ
ap-2078	56	28	states	state	NOUN
ap-2078	56	29	)	)	PUNCT
ap-2078	56	30	.	.	PUNCT
ap-2078	57	1	let	let	VERB
ap-2078	57	2	us	we	PRON
ap-2078	57	3	consider	consider	VERB
ap-2078	57	4	,	,	PUNCT
ap-2078	57	5	as	as	ADP
ap-2078	57	6	an	an	DET
ap-2078	57	7	example	example	NOUN
ap-2078	57	8	,	,	PUNCT
ap-2078	57	9	the	the	DET
ap-2078	57	10	symmetric	symmetric	ADJ
ap-2078	57	11	2×	2×	NUM
ap-2078	57	12	2	2	NUM
ap-2078	57	13	matrix	matrix	NOUN
ap-2078	57	14	h(2	h(2	NOUN
ap-2078	57	15	)	)	PUNCT
ap-2078	57	16	=	=	PUNCT
ap-2078	58	1	(	(	PUNCT
ap-2078	58	2	ε1	ε1	PROPN
ap-2078	58	3	≡	≡	PROPN
ap-2078	58	4	e1	e1	PROPN
ap-2078	59	1	+	+	CCONJ
ap-2078	59	2	i	i	PRON
ap-2078	59	3	2γ1	2γ1	NUM
ap-2078	59	4	ω12	ω12	NOUN
ap-2078	59	5	ω21	ω21	VERB
ap-2078	59	6	ε2	ε2	PROPN
ap-2078	59	7	≡	≡	PROPN
ap-2078	59	8	e2	e2	PROPN
ap-2078	60	1	+	+	CCONJ
ap-2078	60	2	i	i	PROPN
ap-2078	60	3	2γ2	2γ2	NUM
ap-2078	60	4	)	)	PUNCT
ap-2078	60	5	,	,	PUNCT
ap-2078	60	6	(	(	PUNCT
ap-2078	60	7	4	4	X
ap-2078	60	8	)	)	PUNCT
ap-2078	60	9	the	the	DET
ap-2078	60	10	diagonal	diagonal	ADJ
ap-2078	60	11	elements	element	NOUN
ap-2078	60	12	of	of	ADP
ap-2078	60	13	which	which	PRON
ap-2078	60	14	are	be	AUX
ap-2078	60	15	the	the	DET
ap-2078	60	16	two	two	NUM
ap-2078	60	17	complex	complex	ADJ
ap-2078	60	18	eigenvalues	eigenvalue	NOUN
ap-2078	60	19	εi	εi	NOUN
ap-2078	60	20	(	(	PUNCT
ap-2078	60	21	i	i	NOUN
ap-2078	60	22	=	=	NOUN
ap-2078	60	23	1	1	NUM
ap-2078	60	24	,	,	PUNCT
ap-2078	60	25	2	2	NUM
ap-2078	60	26	)	)	PUNCT
ap-2078	60	27	of	of	ADP
ap-2078	60	28	a	a	DET
ap-2078	60	29	non	non	ADJ
ap-2078	60	30	-	-	ADJ
ap-2078	60	31	hermitian	hermitian	ADJ
ap-2078	60	32	operator	operator	NOUN
ap-2078	60	33	h0	h0	PROPN
ap-2078	60	34	.	.	PUNCT
ap-2078	61	1	this	this	PRON
ap-2078	61	2	means	mean	VERB
ap-2078	61	3	that	that	SCONJ
ap-2078	61	4	the	the	DET
ap-2078	61	5	ei	ei	NOUN
ap-2078	61	6	and	and	CCONJ
ap-2078	61	7	γi	γi	X
ap-2078	61	8	≤	≤	NUM
ap-2078	61	9	0	0	NUM
ap-2078	61	10	denote	denote	VERB
ap-2078	61	11	the	the	DET
ap-2078	61	12	energies	energy	NOUN
ap-2078	61	13	and	and	CCONJ
ap-2078	61	14	widths	width	NOUN
ap-2078	61	15	,	,	PUNCT
ap-2078	61	16	respectively	respectively	ADV
ap-2078	61	17	,	,	PUNCT
ap-2078	61	18	of	of	ADP
ap-2078	61	19	the	the	DET
ap-2078	61	20	two	two	NUM
ap-2078	61	21	states	state	NOUN
ap-2078	61	22	when	when	SCONJ
ap-2078	61	23	ωij	ωij	VERB
ap-2078	61	24	=	=	SYM
ap-2078	61	25	0	0	PUNCT
ap-2078	62	1	(	(	PUNCT
ap-2078	62	2	the	the	DET
ap-2078	62	3	index	index	NOUN
ap-2078	62	4	c	c	PROPN
ap-2078	62	5	is	be	AUX
ap-2078	62	6	ignored	ignore	VERB
ap-2078	62	7	here	here	ADV
ap-2078	62	8	for	for	ADP
ap-2078	62	9	simplicity	simplicity	NOUN
ap-2078	62	10	,	,	PUNCT
ap-2078	62	11	c	c	NOUN
ap-2078	62	12	=	=	SYM
ap-2078	62	13	1	1	NUM
ap-2078	62	14	)	)	PUNCT
ap-2078	62	15	.	.	PUNCT
ap-2078	63	1	the	the	DET
ap-2078	63	2	ω12	ω12	NOUN
ap-2078	63	3	=	=	SYM
ap-2078	63	4	ω21	ω21	VERB
ap-2078	63	5	≡	≡	PROPN
ap-2078	63	6	ω	ω	PROPN
ap-2078	63	7	stand	stand	VERB
ap-2078	63	8	for	for	ADP
ap-2078	63	9	the	the	DET
ap-2078	63	10	coupling	coupling	NOUN
ap-2078	63	11	of	of	ADP
ap-2078	63	12	the	the	DET
ap-2078	63	13	two	two	NUM
ap-2078	63	14	states	state	NOUN
ap-2078	63	15	via	via	ADP
ap-2078	63	16	the	the	DET
ap-2078	63	17	common	common	ADJ
ap-2078	63	18	environment	environment	NOUN
ap-2078	63	19	.	.	PUNCT
ap-2078	64	1	the	the	DET
ap-2078	64	2	selfenergy	selfenergy	NOUN
ap-2078	64	3	of	of	ADP
ap-2078	64	4	the	the	DET
ap-2078	64	5	states	state	NOUN
ap-2078	64	6	is	be	AUX
ap-2078	64	7	assumed	assume	VERB
ap-2078	64	8	to	to	PART
ap-2078	64	9	be	be	AUX
ap-2078	64	10	included	include	VERB
ap-2078	64	11	into	into	ADP
ap-2078	64	12	the	the	DET
ap-2078	64	13	εi	εi	NOUN
ap-2078	64	14	.	.	PUNCT
ap-2078	65	1	the	the	DET
ap-2078	65	2	two	two	NUM
ap-2078	65	3	eigenvalues	eigenvalue	NOUN
ap-2078	65	4	of	of	ADP
ap-2078	65	5	h(2	h(2	NOUN
ap-2078	65	6	)	)	PUNCT
ap-2078	65	7	are	be	AUX
ap-2078	65	8	ei	ei	PROPN
ap-2078	65	9	,	,	PUNCT
ap-2078	65	10	j	j	PROPN
ap-2078	65	11	≡	≡	PROPN
ap-2078	65	12	ei	ei	PROPN
ap-2078	65	13	,	,	PUNCT
ap-2078	65	14	j	j	PROPN
ap-2078	66	1	+	+	CCONJ
ap-2078	66	2	i	i	PROPN
ap-2078	66	3	2γi	2γi	NOUN
ap-2078	66	4	,	,	PUNCT
ap-2078	66	5	j	j	PROPN
ap-2078	66	6	=	=	PRON
ap-2078	66	7	ε1	ε1	PROPN
ap-2078	66	8	+	+	CCONJ
ap-2078	66	9	ε2	ε2	ADJ
ap-2078	66	10	2	2	NUM
ap-2078	66	11	±	±	NOUN
ap-2078	66	12	z	z	NOUN
ap-2078	66	13	,	,	PUNCT
ap-2078	66	14	z	z	PROPN
ap-2078	66	15	≡	≡	PROPN
ap-2078	66	16	1	1	NUM
ap-2078	66	17	2	2	NUM
ap-2078	66	18	√	√	NUM
ap-2078	66	19	(	(	PUNCT
ap-2078	66	20	ε1	ε1	VERB
ap-2078	66	21	−	−	NOUN
ap-2078	66	22	ε2)2	ε2)2	ADP
ap-2078	66	23	+	+	NOUN
ap-2078	66	24	4ω2	4ω2	NUM
ap-2078	66	25	,	,	PUNCT
ap-2078	66	26	(	(	PUNCT
ap-2078	66	27	5	5	X
ap-2078	66	28	)	)	PUNCT
ap-2078	66	29	where	where	SCONJ
ap-2078	66	30	ei	ei	NOUN
ap-2078	66	31	and	and	CCONJ
ap-2078	66	32	γi	γi	INTJ
ap-2078	66	33	stand	stand	VERB
ap-2078	66	34	for	for	ADP
ap-2078	66	35	the	the	DET
ap-2078	66	36	energy	energy	NOUN
ap-2078	66	37	and	and	CCONJ
ap-2078	66	38	width	width	ADJ
ap-2078	66	39	,	,	PUNCT
ap-2078	66	40	respectively	respectively	ADV
ap-2078	66	41	,	,	PUNCT
ap-2078	66	42	of	of	ADP
ap-2078	66	43	the	the	DET
ap-2078	66	44	eigenstate	eigenstate	PROPN
ap-2078	66	45	i.	i.	PROPN
ap-2078	66	46	resonance	resonance	PROPN
ap-2078	66	47	states	state	NOUN
ap-2078	66	48	with	with	ADP
ap-2078	66	49	nonvanishing	nonvanishe	VERB
ap-2078	66	50	widths	width	NOUN
ap-2078	66	51	γi	γi	X
ap-2078	66	52	repel	repel	VERB
ap-2078	66	53	each	each	DET
ap-2078	66	54	other	other	ADJ
ap-2078	66	55	in	in	ADP
ap-2078	66	56	energy	energy	NOUN
ap-2078	66	57	according	accord	VERB
ap-2078	66	58	to	to	ADP
ap-2078	66	59	the	the	DET
ap-2078	66	60	value	value	NOUN
ap-2078	66	61	of	of	ADP
ap-2078	66	62	re(z	re(z	NOUN
ap-2078	66	63	)	)	PUNCT
ap-2078	66	64	while	while	SCONJ
ap-2078	66	65	the	the	DET
ap-2078	66	66	widths	width	NOUN
ap-2078	66	67	bifurcate	bifurcate	VERB
ap-2078	66	68	according	accord	VERB
ap-2078	66	69	to	to	ADP
ap-2078	66	70	the	the	DET
ap-2078	66	71	value	value	NOUN
ap-2078	66	72	of	of	ADP
ap-2078	66	73	im(z	im(z	NOUN
ap-2078	66	74	)	)	PUNCT
ap-2078	66	75	.	.	PUNCT
ap-2078	67	1	the	the	DET
ap-2078	67	2	two	two	NUM
ap-2078	67	3	states	state	NOUN
ap-2078	67	4	cross	cross	VERB
ap-2078	67	5	when	when	SCONJ
ap-2078	67	6	z	z	NOUN
ap-2078	67	7	=	=	NOUN
ap-2078	67	8	0	0	X
ap-2078	67	9	.	.	PUNCT
ap-2078	68	1	this	this	DET
ap-2078	68	2	crossing	crossing	NOUN
ap-2078	68	3	point	point	NOUN
ap-2078	68	4	is	be	AUX
ap-2078	68	5	an	an	DET
ap-2078	68	6	ep	ep	PROPN
ap-2078	68	7	according	accord	VERB
ap-2078	68	8	to	to	ADP
ap-2078	68	9	the	the	DET
ap-2078	68	10	definition	definition	NOUN
ap-2078	68	11	of	of	ADP
ap-2078	68	12	kato	kato	PROPN
ap-2078	69	1	[	[	X
ap-2078	69	2	11	11	NUM
ap-2078	69	3	]	]	PUNCT
ap-2078	69	4	.	.	PUNCT
ap-2078	70	1	here	here	ADV
ap-2078	70	2	,	,	PUNCT
ap-2078	70	3	the	the	DET
ap-2078	70	4	two	two	NUM
ap-2078	70	5	eigenvalues	eigenvalue	VERB
ap-2078	70	6	coalesce	coalesce	NOUN
ap-2078	70	7	,	,	PUNCT
ap-2078	70	8	e1	e1	PROPN
ap-2078	70	9	=	=	PROPN
ap-2078	70	10	e2	e2	PROPN
ap-2078	70	11	.	.	PUNCT
ap-2078	71	1	according	accord	VERB
ap-2078	71	2	to	to	ADP
ap-2078	71	3	(	(	PUNCT
ap-2078	71	4	5	5	NUM
ap-2078	71	5	)	)	PUNCT
ap-2078	71	6	,	,	PUNCT
ap-2078	71	7	two	two	NUM
ap-2078	71	8	interacting	interact	VERB
ap-2078	71	9	discrete	discrete	ADJ
ap-2078	71	10	states	state	NOUN
ap-2078	71	11	(	(	PUNCT
ap-2078	71	12	with	with	ADP
ap-2078	71	13	γ1	γ1	NOUN
ap-2078	71	14	=	=	SYM
ap-2078	71	15	γ2	γ2	PROPN
ap-2078	71	16	=	=	SYM
ap-2078	71	17	0	0	NUM
ap-2078	71	18	)	)	PUNCT
ap-2078	71	19	avoid	avoid	VERB
ap-2078	71	20	always	always	ADV
ap-2078	71	21	crossing	cross	VERB
ap-2078	71	22	since	since	SCONJ
ap-2078	71	23	ω	ω	PROPN
ap-2078	71	24	≡	≡	PROPN
ap-2078	71	25	ω0	ω0	PROPN
ap-2078	71	26	and	and	CCONJ
ap-2078	71	27	ε1	ε1	VERB
ap-2078	71	28	−	−	PROPN
ap-2078	71	29	ε2	ε2	ADJ
ap-2078	71	30	are	be	AUX
ap-2078	71	31	real	real	ADJ
ap-2078	71	32	in	in	ADP
ap-2078	71	33	this	this	DET
ap-2078	71	34	case	case	NOUN
ap-2078	71	35	and	and	CCONJ
ap-2078	71	36	the	the	DET
ap-2078	71	37	condition	condition	NOUN
ap-2078	71	38	z	z	NOUN
ap-2078	71	39	=	=	SYM
ap-2078	71	40	0	0	PUNCT
ap-2078	71	41	can	can	AUX
ap-2078	71	42	not	not	PART
ap-2078	71	43	be	be	AUX
ap-2078	71	44	fulfilled	fulfil	VERB
ap-2078	71	45	,	,	PUNCT
ap-2078	71	46	(	(	PUNCT
ap-2078	71	47	e1	e1	VERB
ap-2078	71	48	−	−	PROPN
ap-2078	71	49	e2)2	e2)2	NOUN
ap-2078	72	1	+	+	NUM
ap-2078	72	2	4ω2	4ω2	NUM
ap-2078	72	3	0	0	PUNCT
ap-2078	72	4	>	>	X
ap-2078	72	5	0	0	X
ap-2078	72	6	.	.	PUNCT
ap-2078	73	1	(	(	PUNCT
ap-2078	73	2	6	6	NUM
ap-2078	73	3	)	)	PUNCT
ap-2078	73	4	in	in	ADP
ap-2078	73	5	this	this	DET
ap-2078	73	6	case	case	NOUN
ap-2078	73	7	,	,	PUNCT
ap-2078	73	8	the	the	DET
ap-2078	73	9	ep	ep	PROPN
ap-2078	73	10	can	can	AUX
ap-2078	73	11	be	be	AUX
ap-2078	73	12	found	find	VERB
ap-2078	73	13	only	only	ADV
ap-2078	73	14	by	by	ADP
ap-2078	73	15	analytical	analytical	ADJ
ap-2078	73	16	continuation	continuation	NOUN
ap-2078	73	17	into	into	ADP
ap-2078	73	18	the	the	DET
ap-2078	73	19	continuum	continuum	PROPN
ap-2078	73	20	.	.	PUNCT
ap-2078	74	1	this	this	DET
ap-2078	74	2	situation	situation	NOUN
ap-2078	74	3	is	be	AUX
ap-2078	74	4	known	know	VERB
ap-2078	74	5	as	as	ADP
ap-2078	74	6	avoided	avoid	VERB
ap-2078	74	7	crossing	crossing	NOUN
ap-2078	74	8	of	of	ADP
ap-2078	74	9	discrete	discrete	ADJ
ap-2078	74	10	states	state	NOUN
ap-2078	74	11	.	.	PUNCT
ap-2078	75	1	it	it	PRON
ap-2078	75	2	holds	hold	VERB
ap-2078	75	3	also	also	ADV
ap-2078	75	4	for	for	ADP
ap-2078	75	5	narrow	narrow	ADJ
ap-2078	75	6	resonance	resonance	NOUN
ap-2078	75	7	states	state	NOUN
ap-2078	75	8	if	if	SCONJ
ap-2078	75	9	z	z	NOUN
ap-2078	75	10	=	=	SYM
ap-2078	75	11	0	0	PUNCT
ap-2078	75	12	can	can	AUX
ap-2078	75	13	not	not	PART
ap-2078	75	14	be	be	AUX
ap-2078	75	15	fulfilled	fulfil	VERB
ap-2078	75	16	due	due	ADP
ap-2078	75	17	to	to	ADP
ap-2078	75	18	the	the	DET
ap-2078	75	19	small	small	ADJ
ap-2078	75	20	widths	width	NOUN
ap-2078	75	21	of	of	ADP
ap-2078	75	22	the	the	DET
ap-2078	75	23	two	two	NUM
ap-2078	75	24	states	state	NOUN
ap-2078	75	25	.	.	PUNCT
ap-2078	76	1	the	the	DET
ap-2078	76	2	physical	physical	ADJ
ap-2078	76	3	meaning	meaning	NOUN
ap-2078	76	4	of	of	ADP
ap-2078	76	5	this	this	DET
ap-2078	76	6	result	result	NOUN
ap-2078	76	7	has	have	AUX
ap-2078	76	8	been	be	AUX
ap-2078	76	9	very	very	ADV
ap-2078	76	10	well	well	ADV
ap-2078	76	11	known	known	ADJ
ap-2078	76	12	for	for	ADP
ap-2078	76	13	many	many	ADJ
ap-2078	76	14	years	year	NOUN
ap-2078	76	15	.	.	PUNCT
ap-2078	77	1	the	the	DET
ap-2078	77	2	avoided	avoid	VERB
ap-2078	77	3	crossing	crossing	NOUN
ap-2078	77	4	of	of	ADP
ap-2078	77	5	two	two	NUM
ap-2078	77	6	discrete	discrete	ADJ
ap-2078	77	7	states	state	NOUN
ap-2078	77	8	at	at	ADP
ap-2078	77	9	a	a	DET
ap-2078	77	10	certain	certain	ADJ
ap-2078	77	11	critical	critical	ADJ
ap-2078	77	12	parameter	parameter	NOUN
ap-2078	77	13	value	value	NOUN
ap-2078	77	14	[	[	X
ap-2078	77	15	13	13	NUM
ap-2078	77	16	]	]	PUNCT
ap-2078	77	17	means	mean	VERB
ap-2078	77	18	that	that	SCONJ
ap-2078	77	19	the	the	DET
ap-2078	77	20	two	two	NUM
ap-2078	77	21	states	state	NOUN
ap-2078	77	22	are	be	AUX
ap-2078	77	23	exchanged	exchange	VERB
ap-2078	77	24	at	at	ADP
ap-2078	77	25	this	this	DET
ap-2078	77	26	point	point	NOUN
ap-2078	77	27	,	,	PUNCT
ap-2078	77	28	including	include	VERB
ap-2078	77	29	their	their	PRON
ap-2078	77	30	populations	population	NOUN
ap-2078	77	31	(	(	PUNCT
ap-2078	77	32	population	population	NOUN
ap-2078	77	33	transfer	transfer	NOUN
ap-2078	77	34	)	)	PUNCT
ap-2078	77	35	.	.	PUNCT
ap-2078	78	1	when	when	SCONJ
ap-2078	78	2	ω	ω	X
ap-2078	78	3	=	=	SYM
ap-2078	78	4	iω0	iω0	NOUN
ap-2078	78	5	is	be	AUX
ap-2078	78	6	imaginary	imaginary	ADJ
ap-2078	78	7	,	,	PUNCT
ap-2078	78	8	z	z	NOUN
ap-2078	78	9	=	=	SYM
ap-2078	78	10	1	1	NUM
ap-2078	78	11	2	2	NUM
ap-2078	78	12	(	(	PUNCT
ap-2078	78	13	(	(	PUNCT
ap-2078	78	14	e1	e1	VERB
ap-2078	78	15	−	−	PROPN
ap-2078	78	16	e2)2	e2)2	NOUN
ap-2078	79	1	+	+	NOUN
ap-2078	79	2	1	1	NUM
ap-2078	79	3	4(γ1	4(γ1	NUM
ap-2078	79	4	−	−	NOUN
ap-2078	79	5	γ2)2	γ2)2	ADP
ap-2078	79	6	+	+	NUM
ap-2078	79	7	i(e1	i(e1	PRON
ap-2078	79	8	−	−	NOUN
ap-2078	79	9	e2)(γ1	e2)(γ1	NOUN
ap-2078	79	10	−	−	X
ap-2078	79	11	γ2)−	γ2)−	NUM
ap-2078	79	12	4ω2	4ω2	NUM
ap-2078	79	13	0	0	NUM
ap-2078	79	14	)	)	PUNCT
ap-2078	79	15	1/2	1/2	NUM
ap-2078	79	16	(	(	PUNCT
ap-2078	79	17	7	7	NUM
ap-2078	79	18	)	)	PUNCT
ap-2078	79	19	107	107	NUM
ap-2078	79	20	hichem	hichem	NOUN
ap-2078	79	21	eleuch	eleuch	NOUN
ap-2078	79	22	,	,	PUNCT
ap-2078	79	23	ingrid	ingrid	PROPN
ap-2078	79	24	rotter	rotter	PROPN
ap-2078	79	25	acta	acta	PROPN
ap-2078	79	26	polytechnica	polytechnica	PROPN
ap-2078	79	27	is	be	AUX
ap-2078	79	28	complex	complex	ADJ
ap-2078	79	29	.	.	PUNCT
ap-2078	80	1	the	the	DET
ap-2078	80	2	condition	condition	NOUN
ap-2078	80	3	z	z	NOUN
ap-2078	80	4	=	=	SYM
ap-2078	80	5	0	0	NUM
ap-2078	80	6	can	can	AUX
ap-2078	80	7	be	be	AUX
ap-2078	80	8	fulfilled	fulfil	VERB
ap-2078	80	9	only	only	ADV
ap-2078	80	10	when	when	SCONJ
ap-2078	80	11	(	(	PUNCT
ap-2078	80	12	e1−e2)2	e1−e2)2	NOUN
ap-2078	80	13	+	+	CCONJ
ap-2078	80	14	1	1	NUM
ap-2078	80	15	4	4	NUM
ap-2078	80	16	(	(	PUNCT
ap-2078	80	17	γ1−γ2)2	γ1−γ2)2	NOUN
ap-2078	80	18	=	=	SYM
ap-2078	80	19	4ω2	4ω2	NUM
ap-2078	80	20	0	0	NUM
ap-2078	80	21	and	and	CCONJ
ap-2078	80	22	(	(	PUNCT
ap-2078	80	23	e1−e2)(γ1−	e1−e2)(γ1−	X
ap-2078	80	24	γ2	γ2	NOUN
ap-2078	80	25	)	)	PUNCT
ap-2078	80	26	=	=	SYM
ap-2078	80	27	0	0	NUM
ap-2078	80	28	,	,	PUNCT
ap-2078	80	29	i.e.	i.e.	X
ap-2078	80	30	,	,	PUNCT
ap-2078	80	31	when	when	SCONJ
ap-2078	80	32	γ1	γ1	PROPN
ap-2078	80	33	=	=	SYM
ap-2078	80	34	γ2	γ2	PROPN
ap-2078	80	35	(	(	PUNCT
ap-2078	80	36	or	or	CCONJ
ap-2078	80	37	when	when	SCONJ
ap-2078	80	38	e1	e1	PROPN
ap-2078	80	39	=	=	PROPN
ap-2078	80	40	e2	e2	PROPN
ap-2078	80	41	)	)	PUNCT
ap-2078	80	42	.	.	PUNCT
ap-2078	81	1	in	in	ADP
ap-2078	81	2	this	this	DET
ap-2078	81	3	case	case	NOUN
ap-2078	81	4	,	,	PUNCT
ap-2078	81	5	it	it	PRON
ap-2078	81	6	follows	follow	VERB
ap-2078	81	7	(	(	PUNCT
ap-2078	81	8	e1	e1	PROPN
ap-2078	81	9	−	−	PROPN
ap-2078	81	10	e2)2	e2)2	NOUN
ap-2078	81	11	−	−	PROPN
ap-2078	81	12	4ω2	4ω2	NUM
ap-2078	81	13	0	0	NUM
ap-2078	82	1	=	=	SYM
ap-2078	82	2	0	0	PUNCT
ap-2078	82	3	→	→	SYM
ap-2078	82	4	e1	e1	PROPN
ap-2078	82	5	−	−	PROPN
ap-2078	82	6	e2	e2	NOUN
ap-2078	82	7	=	=	SYM
ap-2078	82	8	±2ω0	±2ω0	PROPN
ap-2078	82	9	(	(	PUNCT
ap-2078	82	10	8)	8)	NUM
ap-2078	82	11	and	and	CCONJ
ap-2078	82	12	two	two	NUM
ap-2078	82	13	eps	ep	NOUN
ap-2078	82	14	appear	appear	VERB
ap-2078	82	15	.	.	PUNCT
ap-2078	83	1	it	it	PRON
ap-2078	83	2	holds	hold	VERB
ap-2078	83	3	further	far	ADV
ap-2078	83	4	(	(	PUNCT
ap-2078	83	5	e1	e1	VERB
ap-2078	83	6	−	−	PROPN
ap-2078	83	7	e2)2	e2)2	NOUN
ap-2078	83	8	>	>	X
ap-2078	83	9	4ω2	4ω2	NUM
ap-2078	83	10	0	0	PUNCT
ap-2078	83	11	→	→	SYM
ap-2078	83	12	z	z	X
ap-2078	83	13	∈	∈	PROPN
ap-2078	83	14	<	<	X
ap-2078	83	15	,	,	PUNCT
ap-2078	83	16	(	(	PUNCT
ap-2078	83	17	9	9	NUM
ap-2078	83	18	)	)	PUNCT
ap-2078	83	19	(	(	PUNCT
ap-2078	83	20	e1	e1	VERB
ap-2078	83	21	−	−	PROPN
ap-2078	83	22	e2)2	e2)2	NOUN
ap-2078	83	23	<	<	X
ap-2078	83	24	4ω2	4ω2	NUM
ap-2078	83	25	0	0	PUNCT
ap-2078	83	26	→	→	SYM
ap-2078	83	27	z	z	NOUN
ap-2078	83	28	∈	∈	NOUN
ap-2078	83	29	=	=	SYM
ap-2078	83	30	(	(	PUNCT
ap-2078	83	31	10	10	NUM
ap-2078	83	32	)	)	PUNCT
ap-2078	83	33	independent	independent	NOUN
ap-2078	83	34	of	of	ADP
ap-2078	83	35	the	the	DET
ap-2078	83	36	parameter	parameter	NOUN
ap-2078	83	37	dependence	dependence	NOUN
ap-2078	83	38	of	of	ADP
ap-2078	83	39	the	the	DET
ap-2078	83	40	ei	ei	NOUN
ap-2078	83	41	.	.	PUNCT
ap-2078	84	1	in	in	ADP
ap-2078	84	2	the	the	DET
ap-2078	84	3	first	first	ADJ
ap-2078	84	4	case	case	NOUN
ap-2078	84	5	,	,	PUNCT
ap-2078	84	6	the	the	DET
ap-2078	84	7	eigenvalues	eigenvalue	NOUN
ap-2078	84	8	ei	ei	X
ap-2078	84	9	=	=	PUNCT
ap-2078	84	10	ei+	ei+	NOUN
ap-2078	84	11	i	i	PRON
ap-2078	84	12	2	2	NUM
ap-2078	84	13	γi	γi	VERB
ap-2078	84	14	differ	differ	VERB
ap-2078	84	15	from	from	ADP
ap-2078	84	16	the	the	DET
ap-2078	84	17	original	original	ADJ
ap-2078	84	18	values	value	NOUN
ap-2078	84	19	εi	εi	VERB
ap-2078	84	20	=	=	SYM
ap-2078	84	21	ei+	ei+	NOUN
ap-2078	84	22	i/2γi	i/2γi	PROPN
ap-2078	84	23	by	by	ADP
ap-2078	84	24	a	a	DET
ap-2078	84	25	contribution	contribution	NOUN
ap-2078	84	26	to	to	ADP
ap-2078	84	27	the	the	DET
ap-2078	84	28	energies	energy	NOUN
ap-2078	84	29	and	and	CCONJ
ap-2078	84	30	in	in	ADP
ap-2078	84	31	the	the	DET
ap-2078	84	32	second	second	ADJ
ap-2078	84	33	case	case	NOUN
ap-2078	84	34	by	by	ADP
ap-2078	84	35	a	a	DET
ap-2078	84	36	contribution	contribution	NOUN
ap-2078	84	37	to	to	ADP
ap-2078	84	38	the	the	DET
ap-2078	84	39	widths	width	NOUN
ap-2078	84	40	.	.	PUNCT
ap-2078	85	1	the	the	DET
ap-2078	85	2	width	width	ADJ
ap-2078	85	3	bifurcation	bifurcation	NOUN
ap-2078	85	4	starts	start	VERB
ap-2078	85	5	in	in	ADP
ap-2078	85	6	the	the	DET
ap-2078	85	7	very	very	ADJ
ap-2078	85	8	neighborhood	neighborhood	NOUN
ap-2078	85	9	of	of	ADP
ap-2078	85	10	one	one	NUM
ap-2078	85	11	of	of	ADP
ap-2078	85	12	the	the	DET
ap-2078	85	13	eps	eps	PROPN
ap-2078	85	14	and	and	CCONJ
ap-2078	85	15	becomes	become	VERB
ap-2078	85	16	maximum	maximum	ADJ
ap-2078	85	17	in	in	ADP
ap-2078	85	18	the	the	DET
ap-2078	85	19	middle	middle	NOUN
ap-2078	85	20	between	between	ADP
ap-2078	85	21	the	the	DET
ap-2078	85	22	two	two	NUM
ap-2078	85	23	eps	ep	NOUN
ap-2078	85	24	.	.	PUNCT
ap-2078	86	1	this	this	PRON
ap-2078	86	2	happens	happen	VERB
ap-2078	86	3	at	at	ADP
ap-2078	86	4	the	the	DET
ap-2078	86	5	crossing	crossing	NOUN
ap-2078	86	6	point	point	NOUN
ap-2078	86	7	e1	e1	PROPN
ap-2078	86	8	=	=	PROPN
ap-2078	86	9	e2	e2	NOUN
ap-2078	86	10	where	where	SCONJ
ap-2078	86	11	∆γ/2	∆γ/2	PROPN
ap-2078	86	12	≡	≡	PROPN
ap-2078	86	13	|γ1/2−γ2/2|	|γ1/2−γ2/2|	PROPN
ap-2078	86	14	=	=	SYM
ap-2078	86	15	4ω0	4ω0	PROPN
ap-2078	86	16	.	.	PUNCT
ap-2078	87	1	a	a	DET
ap-2078	87	2	similar	similar	ADJ
ap-2078	87	3	situation	situation	NOUN
ap-2078	87	4	appears	appear	VERB
ap-2078	87	5	when	when	SCONJ
ap-2078	87	6	γ1	γ1	PROPN
ap-2078	87	7	≈	≈	PROPN
ap-2078	87	8	γ2	γ2	PROPN
ap-2078	87	9	as	as	ADP
ap-2078	87	10	results	result	NOUN
ap-2078	87	11	of	of	ADP
ap-2078	87	12	numerical	numerical	ADJ
ap-2078	87	13	calculations	calculation	NOUN
ap-2078	87	14	show	show	NOUN
ap-2078	87	15	.	.	PUNCT
ap-2078	88	1	the	the	DET
ap-2078	88	2	physical	physical	ADJ
ap-2078	88	3	meaning	meaning	NOUN
ap-2078	88	4	of	of	ADP
ap-2078	88	5	this	this	DET
ap-2078	88	6	result	result	NOUN
ap-2078	88	7	is	be	AUX
ap-2078	88	8	completely	completely	ADV
ap-2078	88	9	different	different	ADJ
ap-2078	88	10	from	from	ADP
ap-2078	88	11	that	that	PRON
ap-2078	88	12	discussed	discuss	VERB
ap-2078	88	13	above	above	ADV
ap-2078	88	14	for	for	ADP
ap-2078	88	15	discrete	discrete	ADJ
ap-2078	88	16	and	and	CCONJ
ap-2078	88	17	narrow	narrow	ADJ
ap-2078	88	18	resonance	resonance	NOUN
ap-2078	88	19	states	state	NOUN
ap-2078	88	20	.	.	PUNCT
ap-2078	89	1	it	it	PRON
ap-2078	89	2	means	mean	VERB
ap-2078	89	3	that	that	SCONJ
ap-2078	89	4	different	different	ADJ
ap-2078	89	5	time	time	NOUN
ap-2078	89	6	scales	scale	NOUN
ap-2078	89	7	appear	appear	VERB
ap-2078	89	8	in	in	ADP
ap-2078	89	9	the	the	DET
ap-2078	89	10	system	system	NOUN
ap-2078	89	11	without	without	ADP
ap-2078	89	12	any	any	DET
ap-2078	89	13	enhancement	enhancement	NOUN
ap-2078	89	14	of	of	ADP
ap-2078	89	15	the	the	DET
ap-2078	89	16	coupling	couple	VERB
ap-2078	89	17	strength	strength	NOUN
ap-2078	89	18	to	to	ADP
ap-2078	89	19	the	the	DET
ap-2078	89	20	continuum	continuum	ADJ
ap-2078	89	21	(	(	PUNCT
ap-2078	89	22	for	for	SCONJ
ap-2078	89	23	details	detail	NOUN
ap-2078	89	24	see	see	VERB
ap-2078	89	25	[	[	X
ap-2078	89	26	14	14	NUM
ap-2078	89	27	]	]	NUM
ap-2078	89	28	)	)	PUNCT
ap-2078	89	29	.	.	PUNCT
ap-2078	90	1	the	the	DET
ap-2078	90	2	cross	cross	NOUN
ap-2078	90	3	section	section	NOUN
ap-2078	90	4	can	can	AUX
ap-2078	90	5	be	be	AUX
ap-2078	90	6	calculated	calculate	VERB
ap-2078	90	7	by	by	ADP
ap-2078	90	8	means	mean	NOUN
ap-2078	90	9	of	of	ADP
ap-2078	90	10	the	the	DET
ap-2078	90	11	s	s	NOUN
ap-2078	90	12	matrix	matrix	NOUN
ap-2078	90	13	σ(e	σ(e	PROPN
ap-2078	90	14	)	)	PUNCT
ap-2078	90	15	∝	∝	PROPN
ap-2078	90	16	|1	|1	NUM
ap-2078	90	17	−	−	PROPN
ap-2078	90	18	s(e)|2	s(e)|2	PROPN
ap-2078	90	19	.	.	PUNCT
ap-2078	91	1	a	a	DET
ap-2078	91	2	unitary	unitary	ADJ
ap-2078	91	3	representation	representation	NOUN
ap-2078	91	4	of	of	ADP
ap-2078	91	5	the	the	DET
ap-2078	91	6	s	s	NOUN
ap-2078	91	7	matrix	matrix	NOUN
ap-2078	91	8	in	in	ADP
ap-2078	91	9	the	the	DET
ap-2078	91	10	case	case	NOUN
ap-2078	91	11	of	of	ADP
ap-2078	91	12	two	two	NUM
ap-2078	91	13	nearby	nearby	ADJ
ap-2078	91	14	resonance	resonance	NOUN
ap-2078	91	15	states	state	NOUN
ap-2078	91	16	coupled	couple	VERB
ap-2078	91	17	to	to	ADP
ap-2078	91	18	one	one	NUM
ap-2078	91	19	common	common	ADJ
ap-2078	91	20	continuum	continuum	NOUN
ap-2078	91	21	of	of	ADP
ap-2078	91	22	scattering	scatter	VERB
ap-2078	91	23	wavefunctions	wavefunction	NOUN
ap-2078	91	24	reads	read	VERB
ap-2078	91	25	[	[	X
ap-2078	91	26	10	10	NUM
ap-2078	91	27	]	]	X
ap-2078	91	28	s	s	NOUN
ap-2078	91	29	=	=	PUNCT
ap-2078	91	30	(	(	PUNCT
ap-2078	91	31	e	e	NOUN
ap-2078	91	32	−	−	PROPN
ap-2078	91	33	e1	e1	NOUN
ap-2078	91	34	−	−	NOUN
ap-2078	91	35	i	i	NOUN
ap-2078	91	36	2	2	NUM
ap-2078	92	1	γ1)(e	γ1)(e	ADP
ap-2078	92	2	−	−	PROPN
ap-2078	92	3	e2	e2	PROPN
ap-2078	92	4	−	−	PROPN
ap-2078	92	5	i	i	NOUN
ap-2078	92	6	2	2	NUM
ap-2078	92	7	γ2	γ2	NOUN
ap-2078	92	8	)	)	PUNCT
ap-2078	92	9	(	(	PUNCT
ap-2078	92	10	e	e	X
ap-2078	92	11	−	−	PROPN
ap-2078	92	12	e1	e1	PROPN
ap-2078	92	13	+	+	CCONJ
ap-2078	92	14	i	i	NOUN
ap-2078	92	15	2	2	NUM
ap-2078	93	1	γ1)(e	γ1)(e	ADP
ap-2078	93	2	−	−	PROPN
ap-2078	93	3	e2	e2	PROPN
ap-2078	93	4	+	+	CCONJ
ap-2078	93	5	i	i	PROPN
ap-2078	93	6	2	2	NUM
ap-2078	93	7	γ2	γ2	NOUN
ap-2078	93	8	)	)	PUNCT
ap-2078	93	9	.	.	PUNCT
ap-2078	94	1	(	(	PUNCT
ap-2078	94	2	11	11	NUM
ap-2078	94	3	)	)	PUNCT
ap-2078	94	4	in	in	ADP
ap-2078	94	5	this	this	DET
ap-2078	94	6	expression	expression	NOUN
ap-2078	94	7	,	,	PUNCT
ap-2078	94	8	the	the	DET
ap-2078	94	9	influence	influence	NOUN
ap-2078	94	10	of	of	ADP
ap-2078	94	11	an	an	DET
ap-2078	94	12	ep	ep	PROPN
ap-2078	94	13	on	on	ADP
ap-2078	94	14	the	the	DET
ap-2078	94	15	cross	cross	NOUN
ap-2078	94	16	section	section	NOUN
ap-2078	94	17	is	be	AUX
ap-2078	94	18	contained	contain	VERB
ap-2078	94	19	in	in	ADP
ap-2078	94	20	the	the	DET
ap-2078	94	21	eigenvalues	eigenvalue	NOUN
ap-2078	95	1	ei	ei	X
ap-2078	95	2	=	=	PUNCT
ap-2078	95	3	ei	ei	X
ap-2078	95	4	−	−	PUNCT
ap-2078	96	1	i	i	PRON
ap-2078	96	2	2	2	NUM
ap-2078	96	3	γi	γi	NOUN
ap-2078	96	4	of	of	ADP
ap-2078	96	5	h(2	h(2	NOUN
ap-2078	96	6	)	)	PUNCT
ap-2078	96	7	.	.	PUNCT
ap-2078	97	1	reliable	reliable	ADJ
ap-2078	97	2	results	result	NOUN
ap-2078	97	3	can	can	AUX
ap-2078	97	4	therefore	therefore	ADV
ap-2078	97	5	be	be	AUX
ap-2078	97	6	obtained	obtain	VERB
ap-2078	97	7	also	also	ADV
ap-2078	97	8	when	when	SCONJ
ap-2078	97	9	an	an	DET
ap-2078	97	10	ep	ep	PROPN
ap-2078	97	11	is	be	AUX
ap-2078	97	12	approached	approach	VERB
ap-2078	97	13	and	and	CCONJ
ap-2078	97	14	the	the	DET
ap-2078	97	15	s	s	NOUN
ap-2078	97	16	matrix	matrix	NOUN
ap-2078	97	17	has	have	VERB
ap-2078	97	18	a	a	DET
ap-2078	97	19	double	double	ADJ
ap-2078	97	20	pole	pole	NOUN
ap-2078	97	21	.	.	PUNCT
ap-2078	98	1	here	here	ADV
ap-2078	98	2	,	,	PUNCT
ap-2078	98	3	the	the	DET
ap-2078	98	4	line	line	NOUN
ap-2078	98	5	shape	shape	NOUN
ap-2078	98	6	of	of	ADP
ap-2078	98	7	the	the	DET
ap-2078	98	8	two	two	NUM
ap-2078	98	9	overlapping	overlap	VERB
ap-2078	98	10	resonances	resonance	NOUN
ap-2078	98	11	is	be	AUX
ap-2078	98	12	described	describe	VERB
ap-2078	98	13	by	by	ADP
ap-2078	98	14	s	s	NOUN
ap-2078	98	15	=	=	SYM
ap-2078	98	16	1	1	NUM
ap-2078	98	17	+	+	NUM
ap-2078	98	18	2i	2i	NUM
ap-2078	98	19	γd	γd	ADP
ap-2078	98	20	e	e	NOUN
ap-2078	98	21	−	−	PROPN
ap-2078	98	22	ed	ed	NOUN
ap-2078	98	23	−	−	NOUN
ap-2078	99	1	i	i	PRON
ap-2078	99	2	2	2	NUM
ap-2078	99	3	γd	γd	ADP
ap-2078	99	4	−	−	PROPN
ap-2078	100	1	γ2	γ2	PROPN
ap-2078	100	2	d	d	X
ap-2078	100	3	(	(	PUNCT
ap-2078	100	4	e	e	NOUN
ap-2078	100	5	−	−	PROPN
ap-2078	100	6	ed	ed	NOUN
ap-2078	100	7	−	−	NOUN
ap-2078	100	8	i	i	NOUN
ap-2078	100	9	2	2	NUM
ap-2078	100	10	γd)2	γd)2	NOUN
ap-2078	100	11	,	,	PUNCT
ap-2078	100	12	(	(	PUNCT
ap-2078	100	13	12	12	NUM
ap-2078	100	14	)	)	PUNCT
ap-2078	100	15	where	where	SCONJ
ap-2078	100	16	e1	e1	PROPN
ap-2078	100	17	=	=	SYM
ap-2078	100	18	e2	e2	PROPN
ap-2078	100	19	≡	≡	PROPN
ap-2078	100	20	ed	ed	PROPN
ap-2078	100	21	and	and	CCONJ
ap-2078	100	22	γ1	γ1	PROPN
ap-2078	100	23	=	=	SYM
ap-2078	100	24	γ2	γ2	PROPN
ap-2078	100	25	≡	≡	PROPN
ap-2078	100	26	γd	γd	ADP
ap-2078	100	27	.	.	PUNCT
ap-2078	101	1	it	it	PRON
ap-2078	101	2	deviates	deviate	VERB
ap-2078	101	3	from	from	ADP
ap-2078	101	4	the	the	DET
ap-2078	101	5	breit	breit	NOUN
ap-2078	101	6	-	-	PUNCT
ap-2078	101	7	wigner	wigner	NOUN
ap-2078	101	8	line	line	NOUN
ap-2078	101	9	shape	shape	NOUN
ap-2078	101	10	of	of	ADP
ap-2078	101	11	an	an	DET
ap-2078	101	12	isolated	isolated	ADJ
ap-2078	101	13	resonance	resonance	NOUN
ap-2078	101	14	due	due	ADP
ap-2078	101	15	to	to	ADP
ap-2078	101	16	interferences	interference	NOUN
ap-2078	101	17	between	between	ADP
ap-2078	101	18	the	the	DET
ap-2078	101	19	two	two	NUM
ap-2078	101	20	resonances	resonance	NOUN
ap-2078	101	21	.	.	PUNCT
ap-2078	102	1	the	the	DET
ap-2078	102	2	first	first	ADJ
ap-2078	102	3	term	term	NOUN
ap-2078	102	4	of	of	ADP
ap-2078	102	5	(	(	PUNCT
ap-2078	102	6	12	12	NUM
ap-2078	102	7	)	)	PUNCT
ap-2078	102	8	is	be	AUX
ap-2078	102	9	linear	linear	ADJ
ap-2078	102	10	(	(	PUNCT
ap-2078	102	11	with	with	ADP
ap-2078	102	12	the	the	DET
ap-2078	102	13	factor	factor	NOUN
ap-2078	102	14	2	2	NUM
ap-2078	102	15	in	in	ADP
ap-2078	102	16	front	front	NOUN
ap-2078	102	17	)	)	PUNCT
ap-2078	102	18	while	while	SCONJ
ap-2078	102	19	the	the	DET
ap-2078	102	20	second	second	ADJ
ap-2078	102	21	one	one	NOUN
ap-2078	102	22	is	be	AUX
ap-2078	102	23	quadratic	quadratic	ADJ
ap-2078	102	24	.	.	PUNCT
ap-2078	103	1	as	as	ADP
ap-2078	103	2	a	a	DET
ap-2078	103	3	result	result	NOUN
ap-2078	103	4	,	,	PUNCT
ap-2078	103	5	two	two	NUM
ap-2078	103	6	peaks	peak	NOUN
ap-2078	103	7	with	with	ADP
ap-2078	103	8	asymmetric	asymmetric	ADJ
ap-2078	103	9	line	line	NOUN
ap-2078	103	10	shape	shape	NOUN
ap-2078	103	11	appear	appear	VERB
ap-2078	103	12	in	in	ADP
ap-2078	103	13	the	the	DET
ap-2078	103	14	cross	cross	NOUN
ap-2078	103	15	section	section	NOUN
ap-2078	103	16	(	(	PUNCT
ap-2078	103	17	for	for	ADP
ap-2078	103	18	a	a	DET
ap-2078	103	19	numerical	numerical	ADJ
ap-2078	103	20	example	example	NOUN
ap-2078	103	21	see	see	VERB
ap-2078	103	22	fig	fig	NOUN
ap-2078	103	23	.	.	PUNCT
ap-2078	104	1	9	9	NUM
ap-2078	104	2	in	in	ADP
ap-2078	104	3	[	[	X
ap-2078	104	4	15	15	NUM
ap-2078	104	5	]	]	NUM
ap-2078	104	6	)	)	PUNCT
ap-2078	104	7	.	.	PUNCT
ap-2078	105	1	the	the	DET
ap-2078	105	2	eigenfunctions	eigenfunction	NOUN
ap-2078	105	3	of	of	ADP
ap-2078	105	4	the	the	DET
ap-2078	105	5	non	non	ADJ
ap-2078	105	6	-	-	ADJ
ap-2078	105	7	hermitian	hermitian	ADJ
ap-2078	105	8	h(2	h(2	PROPN
ap-2078	105	9	)	)	PUNCT
ap-2078	105	10	are	be	AUX
ap-2078	105	11	biorthogonal	biorthogonal	ADJ
ap-2078	105	12	and	and	CCONJ
ap-2078	105	13	can	can	AUX
ap-2078	105	14	be	be	AUX
ap-2078	105	15	normalized	normalize	VERB
ap-2078	105	16	according	accord	VERB
ap-2078	105	17	to	to	ADP
ap-2078	105	18	〈	〈	PROPN
ap-2078	105	19	φ∗i	φ∗i	PUNCT
ap-2078	105	20	|φj	|φj	NUM
ap-2078	105	21	〉	〉	NOUN
ap-2078	105	22	=	=	SYM
ap-2078	105	23	δij	δij	NOUN
ap-2078	105	24	,	,	PUNCT
ap-2078	105	25	(	(	PUNCT
ap-2078	105	26	13	13	NUM
ap-2078	105	27	)	)	PUNCT
ap-2078	105	28	although	although	SCONJ
ap-2078	105	29	〈	〈	PROPN
ap-2078	105	30	φ∗i	φ∗i	PUNCT
ap-2078	105	31	|φj	|φj	NUM
ap-2078	105	32	〉	〉	PROPN
ap-2078	105	33	is	be	AUX
ap-2078	105	34	a	a	DET
ap-2078	105	35	complex	complex	ADJ
ap-2078	105	36	number	number	NOUN
ap-2078	105	37	(	(	PUNCT
ap-2078	105	38	for	for	ADP
ap-2078	105	39	details	detail	NOUN
ap-2078	105	40	see	see	VERB
ap-2078	105	41	sections	section	NOUN
ap-2078	105	42	2.2	2.2	NUM
ap-2078	105	43	and	and	CCONJ
ap-2078	105	44	2.3	2.3	NUM
ap-2078	105	45	of	of	ADP
ap-2078	105	46	[	[	X
ap-2078	105	47	10	10	NUM
ap-2078	105	48	]	]	NUM
ap-2078	105	49	)	)	PUNCT
ap-2078	105	50	.	.	PUNCT
ap-2078	106	1	the	the	DET
ap-2078	106	2	normalization	normalization	NOUN
ap-2078	106	3	(	(	PUNCT
ap-2078	106	4	13	13	NUM
ap-2078	106	5	)	)	PUNCT
ap-2078	106	6	allows	allow	VERB
ap-2078	106	7	to	to	PART
ap-2078	106	8	describe	describe	VERB
ap-2078	106	9	the	the	DET
ap-2078	106	10	smooth	smooth	ADJ
ap-2078	106	11	transition	transition	NOUN
ap-2078	106	12	from	from	ADP
ap-2078	106	13	the	the	DET
ap-2078	106	14	regime	regime	NOUN
ap-2078	106	15	with	with	ADP
ap-2078	106	16	orthogonal	orthogonal	ADJ
ap-2078	106	17	eigenfunctions	eigenfunction	NOUN
ap-2078	106	18	to	to	ADP
ap-2078	106	19	that	that	PRON
ap-2078	106	20	with	with	ADP
ap-2078	106	21	biorthogonal	biorthogonal	ADJ
ap-2078	106	22	eigenfunctions	eigenfunction	NOUN
ap-2078	106	23	(	(	PUNCT
ap-2078	106	24	see	see	VERB
ap-2078	106	25	below	below	ADV
ap-2078	106	26	)	)	PUNCT
ap-2078	106	27	.	.	PUNCT
ap-2078	107	1	it	it	PRON
ap-2078	107	2	follows	follow	VERB
ap-2078	107	3	〈	〈	PROPN
ap-2078	107	4	φi|φi	φi|φi	PROPN
ap-2078	107	5	〉	〉	NOUN
ap-2078	107	6	=	=	SYM
ap-2078	107	7	re〈φi|φi	re〈φi|φi	PROPN
ap-2078	107	8	〉	〉	PROPN
ap-2078	107	9	,	,	PUNCT
ap-2078	107	10	ai	ai	VERB
ap-2078	107	11	≡	≡	PROPN
ap-2078	107	12	〈	〈	PROPN
ap-2078	107	13	φi|φi	φi|φi	PROPN
ap-2078	107	14	〉	〉	PROPN
ap-2078	107	15	≥	≥	NUM
ap-2078	107	16	1	1	NUM
ap-2078	107	17	(	(	PUNCT
ap-2078	107	18	14	14	NUM
ap-2078	107	19	)	)	PUNCT
ap-2078	107	20	and	and	CCONJ
ap-2078	107	21	〈	〈	PROPN
ap-2078	107	22	φi|φj	φi|φj	X
ap-2078	107	23	6	6	NUM
ap-2078	107	24	=	=	PROPN
ap-2078	107	25	i	i	NOUN
ap-2078	107	26	〉	〉	NUM
ap-2078	108	1	=	=	NOUN
ap-2078	109	1	i	i	PRON
ap-2078	109	2	im〈φi|φj	im〈φi|φj	PROPN
ap-2078	109	3	6	6	NUM
ap-2078	109	4	=	=	NOUN
ap-2078	109	5	i	i	NOUN
ap-2078	109	6	〉	〉	NOUN
ap-2078	109	7	=	=	SYM
ap-2078	109	8	−〈φj	−〈φj	NOUN
ap-2078	109	9	6	6	NUM
ap-2078	109	10	=	=	NOUN
ap-2078	109	11	i|φi	i|φi	NOUN
ap-2078	109	12	〉	〉	NOUN
ap-2078	109	13	,	,	PUNCT
ap-2078	109	14	|bji	|bji	PRON
ap-2078	110	1	|	|	ADV
ap-2078	110	2	≡	≡	PROPN
ap-2078	110	3	|〈φi|φj	|〈φi|φj	PROPN
ap-2078	110	4	6	6	NUM
ap-2078	110	5	=	=	ADJ
ap-2078	110	6	i|	i|	PROPN
ap-2078	110	7	≥	≥	NOUN
ap-2078	110	8	0	0	NUM
ap-2078	110	9	.	.	PUNCT
ap-2078	111	1	(	(	PUNCT
ap-2078	111	2	15	15	NUM
ap-2078	111	3	)	)	PUNCT
ap-2078	111	4	at	at	ADP
ap-2078	111	5	an	an	DET
ap-2078	111	6	ep	ep	PROPN
ap-2078	111	7	ai	ai	NOUN
ap-2078	111	8	→	→	SYM
ap-2078	111	9	∞	∞	PROPN
ap-2078	111	10	and	and	CCONJ
ap-2078	111	11	|bji	|bji	NOUN
ap-2078	111	12	|	|	NOUN
ap-2078	111	13	→	→	SYM
ap-2078	111	14	∞.	∞.	PROPN
ap-2078	111	15	the	the	DET
ap-2078	111	16	ei	ei	NOUN
ap-2078	111	17	and	and	CCONJ
ap-2078	111	18	φi	φi	ADV
ap-2078	111	19	contain	contain	VERB
ap-2078	111	20	global	global	ADJ
ap-2078	111	21	features	feature	NOUN
ap-2078	111	22	that	that	PRON
ap-2078	111	23	are	be	AUX
ap-2078	111	24	caused	cause	VERB
ap-2078	111	25	by	by	ADP
ap-2078	111	26	many	many	ADJ
ap-2078	111	27	-	-	PUNCT
ap-2078	111	28	body	body	NOUN
ap-2078	111	29	forces	force	NOUN
ap-2078	111	30	induced	induce	VERB
ap-2078	111	31	by	by	ADP
ap-2078	111	32	the	the	DET
ap-2078	111	33	coupling	coupling	NOUN
ap-2078	111	34	ωik	ωik	NOUN
ap-2078	111	35	of	of	ADP
ap-2078	111	36	the	the	DET
ap-2078	111	37	states	state	NOUN
ap-2078	111	38	i	i	PRON
ap-2078	111	39	and	and	CCONJ
ap-2078	111	40	k	k	PROPN
ap-2078	111	41	6=	6=	PROPN
ap-2078	112	1	i	i	PRON
ap-2078	112	2	via	via	ADP
ap-2078	112	3	the	the	DET
ap-2078	112	4	environment	environment	NOUN
ap-2078	112	5	.	.	PUNCT
ap-2078	113	1	they	they	PRON
ap-2078	113	2	contain	contain	VERB
ap-2078	113	3	moreover	moreover	ADV
ap-2078	113	4	the	the	DET
ap-2078	113	5	self	self	NOUN
ap-2078	113	6	-	-	PUNCT
ap-2078	113	7	energy	energy	NOUN
ap-2078	113	8	of	of	ADP
ap-2078	113	9	the	the	DET
ap-2078	113	10	states	state	NOUN
ap-2078	113	11	i	i	PRON
ap-2078	113	12	due	due	ADP
ap-2078	113	13	to	to	ADP
ap-2078	113	14	their	their	PRON
ap-2078	113	15	coupling	coupling	NOUN
ap-2078	113	16	to	to	ADP
ap-2078	113	17	the	the	DET
ap-2078	113	18	environment	environment	NOUN
ap-2078	113	19	.	.	PUNCT
ap-2078	114	1	at	at	ADP
ap-2078	114	2	the	the	DET
ap-2078	114	3	ep	ep	PROPN
ap-2078	114	4	,	,	PUNCT
ap-2078	114	5	the	the	DET
ap-2078	114	6	eigenfunctions	eigenfunction	NOUN
ap-2078	114	7	φcr	φcr	VERB
ap-2078	114	8	i	i	PRON
ap-2078	114	9	of	of	ADP
ap-2078	114	10	h(2	h(2	NOUN
ap-2078	114	11	)	)	PUNCT
ap-2078	114	12	of	of	ADP
ap-2078	114	13	the	the	DET
ap-2078	114	14	two	two	NUM
ap-2078	114	15	crossing	crossing	NOUN
ap-2078	114	16	states	state	NOUN
ap-2078	114	17	are	be	AUX
ap-2078	114	18	linearly	linearly	ADV
ap-2078	114	19	dependent	dependent	ADJ
ap-2078	114	20	on	on	ADP
ap-2078	114	21	one	one	NUM
ap-2078	114	22	another	another	DET
ap-2078	114	23	,	,	PUNCT
ap-2078	114	24	φcr	φcr	NOUN
ap-2078	114	25	1	1	NUM
ap-2078	114	26	→	→	SYM
ap-2078	114	27	±iφcr	±iφcr	NUM
ap-2078	114	28	2	2	NUM
ap-2078	114	29	,	,	PUNCT
ap-2078	114	30	φcr	φcr	NOUN
ap-2078	114	31	2	2	NUM
ap-2078	114	32	→	→	SYM
ap-2078	114	33	∓iφcr	∓iφcr	PROPN
ap-2078	114	34	1	1	NUM
ap-2078	114	35	(	(	PUNCT
ap-2078	114	36	16	16	NUM
ap-2078	114	37	)	)	PUNCT
ap-2078	114	38	according	accord	VERB
ap-2078	114	39	to	to	ADP
ap-2078	114	40	analytical	analytical	ADJ
ap-2078	114	41	as	as	ADV
ap-2078	114	42	well	well	ADV
ap-2078	114	43	as	as	ADP
ap-2078	114	44	numerical	numerical	ADJ
ap-2078	114	45	and	and	CCONJ
ap-2078	114	46	experimental	experimental	ADJ
ap-2078	114	47	studies	study	NOUN
ap-2078	114	48	,	,	PUNCT
ap-2078	114	49	see	see	VERB
ap-2078	114	50	the	the	DET
ap-2078	114	51	appendix	appendix	NOUN
ap-2078	114	52	of	of	ADP
ap-2078	114	53	[	[	X
ap-2078	114	54	14	14	NUM
ap-2078	114	55	]	]	PUNCT
ap-2078	114	56	and	and	CCONJ
ap-2078	114	57	section	section	NOUN
ap-2078	114	58	2.5	2.5	NUM
ap-2078	114	59	of	of	ADP
ap-2078	114	60	[	[	X
ap-2078	114	61	10	10	NUM
ap-2078	114	62	]	]	PUNCT
ap-2078	114	63	.	.	PUNCT
ap-2078	115	1	this	this	PRON
ap-2078	115	2	means	mean	VERB
ap-2078	115	3	that	that	SCONJ
ap-2078	115	4	the	the	DET
ap-2078	115	5	wavefunction	wavefunction	NOUN
ap-2078	115	6	φ1	φ1	NOUN
ap-2078	115	7	of	of	ADP
ap-2078	115	8	the	the	DET
ap-2078	115	9	state	state	NOUN
ap-2078	115	10	1	1	NUM
ap-2078	115	11	jumps	jump	NOUN
ap-2078	115	12	,	,	PUNCT
ap-2078	115	13	at	at	ADP
ap-2078	115	14	the	the	DET
ap-2078	115	15	ep	ep	NOUN
ap-2078	115	16	,	,	PUNCT
ap-2078	115	17	via	via	ADP
ap-2078	115	18	the	the	DET
ap-2078	115	19	wavefunction	wavefunction	NOUN
ap-2078	115	20	φ1	φ1	PROPN
ap-2078	115	21	±	±	PROPN
ap-2078	115	22	iφ2	iφ2	NOUN
ap-2078	115	23	of	of	ADP
ap-2078	115	24	a	a	DET
ap-2078	115	25	chiral	chiral	ADJ
ap-2078	115	26	state	state	NOUN
ap-2078	115	27	to	to	ADP
ap-2078	115	28	±iφ2	±iφ2	NOUN
ap-2078	115	29	[	[	X
ap-2078	115	30	16	16	NUM
ap-2078	115	31	]	]	PUNCT
ap-2078	115	32	.	.	PUNCT
ap-2078	116	1	the	the	DET
ap-2078	116	2	schrödinger	schrödinger	ADJ
ap-2078	116	3	equation	equation	NOUN
ap-2078	116	4	with	with	ADP
ap-2078	116	5	the	the	DET
ap-2078	116	6	non	non	ADJ
ap-2078	116	7	-	-	ADJ
ap-2078	116	8	hermitian	hermitian	ADJ
ap-2078	116	9	operator	operator	NOUN
ap-2078	116	10	h(2	h(2	NOUN
ap-2078	116	11	)	)	PUNCT
ap-2078	116	12	is	be	AUX
ap-2078	116	13	equivalent	equivalent	ADJ
ap-2078	116	14	to	to	ADP
ap-2078	116	15	a	a	DET
ap-2078	116	16	schrödinger	schrödinger	ADJ
ap-2078	116	17	equation	equation	NOUN
ap-2078	116	18	with	with	ADP
ap-2078	116	19	h0	h0	PROPN
ap-2078	116	20	and	and	CCONJ
ap-2078	116	21	source	source	NOUN
ap-2078	116	22	term	term	NOUN
ap-2078	116	23	[	[	X
ap-2078	116	24	17	17	NUM
ap-2078	116	25	]	]	PUNCT
ap-2078	116	26	(	(	PUNCT
ap-2078	116	27	h0	h0	NOUN
ap-2078	116	28	−	−	PROPN
ap-2078	116	29	εi)|φi	εi)|φi	PROPN
ap-2078	116	30	〉	〉	NOUN
ap-2078	116	31	=	=	SYM
ap-2078	117	1	−	−	PROPN
ap-2078	118	1	(	(	PUNCT
ap-2078	118	2	0	0	NUM
ap-2078	118	3	ωij	ωij	AUX
ap-2078	118	4	ωji	ωji	VERB
ap-2078	118	5	0	0	NUM
ap-2078	118	6	)	)	PUNCT
ap-2078	119	1	|φj	|φj	VERB
ap-2078	119	2	〉	〉	PROPN
ap-2078	119	3	≡w	≡w	NOUN
ap-2078	119	4	|φj	|φj	NUM
ap-2078	119	5	〉	〉	NUM
ap-2078	119	6	.	.	PUNCT
ap-2078	120	1	(	(	PUNCT
ap-2078	120	2	17	17	NUM
ap-2078	120	3	)	)	PUNCT
ap-2078	120	4	due	due	ADP
ap-2078	120	5	to	to	ADP
ap-2078	120	6	the	the	DET
ap-2078	120	7	source	source	NOUN
ap-2078	120	8	term	term	NOUN
ap-2078	120	9	,	,	PUNCT
ap-2078	120	10	two	two	NUM
ap-2078	120	11	states	state	NOUN
ap-2078	120	12	are	be	AUX
ap-2078	120	13	coupled	couple	VERB
ap-2078	120	14	via	via	ADP
ap-2078	120	15	the	the	DET
ap-2078	120	16	common	common	ADJ
ap-2078	120	17	environment	environment	NOUN
ap-2078	120	18	of	of	ADP
ap-2078	120	19	scattering	scatter	VERB
ap-2078	120	20	wavefunctions	wavefunction	NOUN
ap-2078	120	21	into	into	ADP
ap-2078	120	22	which	which	PRON
ap-2078	120	23	the	the	DET
ap-2078	120	24	system	system	NOUN
ap-2078	120	25	is	be	AUX
ap-2078	120	26	embedded	embed	VERB
ap-2078	120	27	,	,	PUNCT
ap-2078	120	28	ωij	ωij	PROPN
ap-2078	120	29	=	=	PRON
ap-2078	120	30	ωji	ωji	VERB
ap-2078	120	31	≡	≡	PROPN
ap-2078	120	32	ω	ω	PROPN
ap-2078	120	33	.	.	PUNCT
ap-2078	121	1	the	the	DET
ap-2078	121	2	schrödinger	schrödinger	ADJ
ap-2078	121	3	equation	equation	NOUN
ap-2078	121	4	(	(	PUNCT
ap-2078	121	5	17	17	NUM
ap-2078	121	6	)	)	PUNCT
ap-2078	121	7	with	with	ADP
ap-2078	121	8	source	source	NOUN
ap-2078	121	9	term	term	NOUN
ap-2078	121	10	can	can	AUX
ap-2078	121	11	be	be	AUX
ap-2078	121	12	rewritten	rewrite	VERB
ap-2078	121	13	in	in	ADP
ap-2078	121	14	the	the	DET
ap-2078	121	15	following	follow	VERB
ap-2078	121	16	manner	manner	NOUN
ap-2078	121	17	[	[	X
ap-2078	121	18	17	17	NUM
ap-2078	121	19	]	]	PUNCT
ap-2078	121	20	,	,	PUNCT
ap-2078	121	21	(	(	PUNCT
ap-2078	121	22	h0	h0	NOUN
ap-2078	121	23	−	−	PROPN
ap-2078	121	24	εi)|φi	εi)|φi	PROPN
ap-2078	121	25	〉	〉	PROPN
ap-2078	121	26	=	=	PUNCT
ap-2078	121	27	∑	∑	PROPN
ap-2078	121	28	k=1,2	k=1,2	PROPN
ap-2078	121	29	〈	〈	PROPN
ap-2078	121	30	φk|w	φk|w	PROPN
ap-2078	121	31	|φi	|φi	NUM
ap-2078	121	32	〉	〉	NOUN
ap-2078	121	33	∑	∑	PUNCT
ap-2078	121	34	m=1,2	m=1,2	VERB
ap-2078	121	35	〈	〈	PROPN
ap-2078	121	36	φk|φm〉|φm	φk|φm〉|φm	NOUN
ap-2078	121	37	〉	〉	PROPN
ap-2078	121	38	.	.	PUNCT
ap-2078	122	1	(	(	PUNCT
ap-2078	122	2	18	18	NUM
ap-2078	122	3	)	)	PUNCT
ap-2078	122	4	according	accord	VERB
ap-2078	122	5	to	to	ADP
ap-2078	122	6	the	the	DET
ap-2078	122	7	biorthogonality	biorthogonality	NOUN
ap-2078	122	8	relations	relation	NOUN
ap-2078	122	9	(	(	PUNCT
ap-2078	122	10	14	14	NUM
ap-2078	122	11	)	)	PUNCT
ap-2078	122	12	and	and	CCONJ
ap-2078	122	13	(	(	PUNCT
ap-2078	122	14	15	15	NUM
ap-2078	122	15	)	)	PUNCT
ap-2078	122	16	of	of	ADP
ap-2078	122	17	the	the	DET
ap-2078	122	18	eigenfunctions	eigenfunction	NOUN
ap-2078	122	19	of	of	ADP
ap-2078	122	20	h(2	h(2	NOUN
ap-2078	122	21	)	)	PUNCT
ap-2078	122	22	,	,	PUNCT
ap-2078	122	23	(	(	PUNCT
ap-2078	122	24	18	18	NUM
ap-2078	122	25	)	)	PUNCT
ap-2078	122	26	is	be	AUX
ap-2078	122	27	a	a	DET
ap-2078	122	28	nonlinear	nonlinear	ADJ
ap-2078	122	29	equation	equation	NOUN
ap-2078	122	30	.	.	PUNCT
ap-2078	123	1	the	the	DET
ap-2078	123	2	most	most	ADV
ap-2078	123	3	important	important	ADJ
ap-2078	123	4	part	part	NOUN
ap-2078	123	5	of	of	ADP
ap-2078	123	6	the	the	DET
ap-2078	123	7	nonlinear	nonlinear	ADJ
ap-2078	123	8	contributions	contribution	NOUN
ap-2078	123	9	is	be	AUX
ap-2078	123	10	contained	contain	VERB
ap-2078	123	11	in	in	ADP
ap-2078	123	12	(	(	PUNCT
ap-2078	123	13	h0	h0	NOUN
ap-2078	123	14	−	−	PROPN
ap-2078	123	15	εn)|φn	εn)|φn	VERB
ap-2078	123	16	〉	〉	NOUN
ap-2078	124	1	=	=	SYM
ap-2078	124	2	〈	〈	PROPN
ap-2078	124	3	φn|w	φn|w	NOUN
ap-2078	124	4	|φn〉|φn|2|φn	|φn〉|φn|2|φn	PROPN
ap-2078	124	5	〉	〉	PROPN
ap-2078	124	6	.	.	PUNCT
ap-2078	125	1	(	(	PUNCT
ap-2078	125	2	19	19	NUM
ap-2078	125	3	)	)	PUNCT
ap-2078	125	4	the	the	DET
ap-2078	125	5	nonlinear	nonlinear	ADJ
ap-2078	125	6	source	source	NOUN
ap-2078	125	7	term	term	NOUN
ap-2078	125	8	vanishes	vanish	VERB
ap-2078	125	9	far	far	ADV
ap-2078	125	10	from	from	ADP
ap-2078	125	11	an	an	DET
ap-2078	125	12	ep	ep	NOUN
ap-2078	125	13	due	due	ADP
ap-2078	125	14	to	to	ADP
ap-2078	125	15	〈	〈	PROPN
ap-2078	125	16	φk|φk	φk|φk	NOUN
ap-2078	125	17	〉	〉	NOUN
ap-2078	125	18	→	→	SYM
ap-2078	125	19	1	1	NUM
ap-2078	125	20	and	and	CCONJ
ap-2078	125	21	〈	〈	PROPN
ap-2078	125	22	φk|φl	φk|φl	NUM
ap-2078	126	1	6	6	NUM
ap-2078	126	2	=	=	SYM
ap-2078	126	3	k	k	X
ap-2078	126	4	〉	〉	NOUN
ap-2078	126	5	=	=	SYM
ap-2078	126	6	−〈φl	−〈φl	NOUN
ap-2078	126	7	6	6	NUM
ap-2078	126	8	=	=	SYM
ap-2078	126	9	k|φk	k|φk	NOUN
ap-2078	126	10	〉	〉	NOUN
ap-2078	126	11	→	→	SYM
ap-2078	126	12	0	0	NUM
ap-2078	126	13	according	accord	VERB
ap-2078	126	14	to	to	ADP
ap-2078	126	15	(	(	PUNCT
ap-2078	126	16	13	13	NUM
ap-2078	126	17	)	)	PUNCT
ap-2078	126	18	to	to	ADP
ap-2078	126	19	(	(	PUNCT
ap-2078	126	20	15	15	NUM
ap-2078	126	21	)	)	PUNCT
ap-2078	126	22	.	.	PUNCT
ap-2078	127	1	thus	thus	ADV
ap-2078	127	2	,	,	PUNCT
ap-2078	127	3	the	the	DET
ap-2078	127	4	schrödinger	schrödinger	ADJ
ap-2078	127	5	equation	equation	NOUN
ap-2078	127	6	with	with	ADP
ap-2078	127	7	source	source	NOUN
ap-2078	127	8	term	term	NOUN
ap-2078	127	9	is	be	AUX
ap-2078	127	10	linear	linear	ADJ
ap-2078	127	11	far	far	ADV
ap-2078	127	12	from	from	ADP
ap-2078	127	13	an	an	DET
ap-2078	127	14	ep	ep	NOUN
ap-2078	127	15	,	,	PUNCT
ap-2078	127	16	as	as	SCONJ
ap-2078	127	17	usually	usually	ADV
ap-2078	127	18	assumed	assume	VERB
ap-2078	127	19	.	.	PUNCT
ap-2078	128	1	it	it	PRON
ap-2078	128	2	is	be	AUX
ap-2078	128	3	however	however	ADV
ap-2078	128	4	nonlinear	nonlinear	ADJ
ap-2078	128	5	in	in	ADP
ap-2078	128	6	the	the	DET
ap-2078	128	7	neighborhood	neighborhood	NOUN
ap-2078	128	8	of	of	ADP
ap-2078	128	9	an	an	DET
ap-2078	128	10	ep	ep	NOUN
ap-2078	128	11	.	.	PUNCT
ap-2078	129	1	it	it	PRON
ap-2078	129	2	is	be	AUX
ap-2078	129	3	meaningful	meaningful	ADJ
ap-2078	129	4	to	to	PART
ap-2078	129	5	represent	represent	VERB
ap-2078	129	6	the	the	DET
ap-2078	129	7	eigenfunctions	eigenfunction	NOUN
ap-2078	129	8	φi	φi	ADP
ap-2078	129	9	of	of	ADP
ap-2078	129	10	h(2	h(2	NOUN
ap-2078	129	11	)	)	PUNCT
ap-2078	129	12	in	in	ADP
ap-2078	129	13	the	the	DET
ap-2078	129	14	set	set	NOUN
ap-2078	129	15	of	of	ADP
ap-2078	129	16	basic	basic	ADJ
ap-2078	129	17	wavefunctions	wavefunction	NOUN
ap-2078	129	18	φ0	φ0	PROPN
ap-2078	129	19	i	i	PROPN
ap-2078	129	20	of	of	ADP
ap-2078	129	21	h0	h0	PROPN
ap-2078	129	22	φi	φi	PROPN
ap-2078	129	23	=	=	PROPN
ap-2078	129	24	n∑	n∑	PROPN
ap-2078	129	25	j=1	j=1	PROPN
ap-2078	129	26	bijφ0	bijφ0	PROPN
ap-2078	129	27	j	j	PROPN
ap-2078	129	28	,	,	PUNCT
ap-2078	129	29	bij	bij	PROPN
ap-2078	129	30	=	=	PRON
ap-2078	129	31	|bij	|bij	NOUN
ap-2078	129	32	|eiθij	|eiθij	X
ap-2078	129	33	.	.	PUNCT
ap-2078	130	1	(	(	PUNCT
ap-2078	130	2	20	20	NUM
ap-2078	130	3	)	)	PUNCT
ap-2078	130	4	108	108	NUM
ap-2078	130	5	vol	vol	NOUN
ap-2078	130	6	.	.	PUNCT
ap-2078	131	1	54	54	NUM
ap-2078	131	2	no	no	NOUN
ap-2078	131	3	.	.	PUNCT
ap-2078	132	1	2/2014	2/2014	NUM
ap-2078	132	2	exceptional	exceptional	ADJ
ap-2078	132	3	points	point	NOUN
ap-2078	132	4	in	in	ADP
ap-2078	132	5	open	open	ADJ
ap-2078	132	6	and	and	CCONJ
ap-2078	132	7	pt	pt	ADJ
ap-2078	132	8	-	-	PUNCT
ap-2078	132	9	symmetric	symmetric	ADJ
ap-2078	132	10	systems	system	NOUN
ap-2078	132	11	also	also	ADV
ap-2078	132	12	the	the	DET
ap-2078	132	13	bij	bij	NOUN
ap-2078	132	14	are	be	AUX
ap-2078	132	15	normalized	normalize	VERB
ap-2078	132	16	according	accord	VERB
ap-2078	132	17	to	to	ADP
ap-2078	132	18	the	the	DET
ap-2078	132	19	biorthogonality	biorthogonality	NOUN
ap-2078	132	20	relations	relation	NOUN
ap-2078	132	21	of	of	ADP
ap-2078	132	22	the	the	DET
ap-2078	132	23	wavefunctions	wavefunction	NOUN
ap-2078	132	24	{	{	PUNCT
ap-2078	132	25	φi	φi	ADV
ap-2078	132	26	}	}	PUNCT
ap-2078	132	27	.	.	PUNCT
ap-2078	133	1	the	the	DET
ap-2078	133	2	angle	angle	NOUN
ap-2078	133	3	θij	θij	VERB
ap-2078	133	4	can	can	AUX
ap-2078	133	5	be	be	AUX
ap-2078	133	6	determined	determine	VERB
ap-2078	133	7	from	from	ADP
ap-2078	133	8	tan	tan	PROPN
ap-2078	133	9	θij	θij	NOUN
ap-2078	133	10	=	=	SYM
ap-2078	133	11	im(bij)/re(bij	im(bij)/re(bij	NUM
ap-2078	133	12	)	)	PUNCT
ap-2078	133	13	.	.	PUNCT
ap-2078	134	1	from	from	ADP
ap-2078	134	2	(	(	PUNCT
ap-2078	134	3	13	13	NUM
ap-2078	134	4	)	)	PUNCT
ap-2078	134	5	and	and	CCONJ
ap-2078	134	6	(	(	PUNCT
ap-2078	134	7	16	16	NUM
ap-2078	134	8	)	)	PUNCT
ap-2078	134	9	follows	follow	VERB
ap-2078	134	10	:	:	PUNCT
ap-2078	134	11	•	•	ADV
ap-2078	134	12	when	when	SCONJ
ap-2078	134	13	two	two	NUM
ap-2078	134	14	levels	level	NOUN
ap-2078	134	15	are	be	AUX
ap-2078	134	16	distant	distant	ADJ
ap-2078	134	17	from	from	ADP
ap-2078	134	18	one	one	NUM
ap-2078	134	19	another	another	DET
ap-2078	134	20	,	,	PUNCT
ap-2078	134	21	their	their	PRON
ap-2078	134	22	eigenfunctions	eigenfunction	NOUN
ap-2078	134	23	are	be	AUX
ap-2078	134	24	(	(	PUNCT
ap-2078	134	25	almost	almost	ADV
ap-2078	134	26	)	)	PUNCT
ap-2078	134	27	orthogonal	orthogonal	NOUN
ap-2078	134	28	,	,	PUNCT
ap-2078	134	29	〈	〈	PROPN
ap-2078	134	30	φ∗k|φk	φ∗k|φk	PROPN
ap-2078	135	1	〉	〉	PROPN
ap-2078	136	1	≈	≈	PROPN
ap-2078	136	2	〈	〈	PROPN
ap-2078	136	3	φk|φk	φk|φk	NOUN
ap-2078	136	4	〉	〉	NOUN
ap-2078	136	5	=	=	SYM
ap-2078	136	6	ak	ak	PROPN
ap-2078	136	7	≈	≈	PROPN
ap-2078	136	8	1	1	NUM
ap-2078	136	9	.	.	NOUN
ap-2078	136	10	•	•	NUM
ap-2078	136	11	when	when	SCONJ
ap-2078	136	12	two	two	NUM
ap-2078	136	13	levels	level	NOUN
ap-2078	136	14	cross	cross	VERB
ap-2078	136	15	at	at	ADP
ap-2078	136	16	the	the	DET
ap-2078	136	17	ep	ep	NOUN
ap-2078	136	18	,	,	PUNCT
ap-2078	136	19	their	their	PRON
ap-2078	136	20	eigenfunctions	eigenfunction	NOUN
ap-2078	136	21	are	be	AUX
ap-2078	136	22	linearly	linearly	ADV
ap-2078	136	23	dependent	dependent	ADJ
ap-2078	136	24	according	accord	VERB
ap-2078	136	25	to	to	ADP
ap-2078	136	26	(	(	PUNCT
ap-2078	136	27	16	16	NUM
ap-2078	136	28	)	)	PUNCT
ap-2078	136	29	and	and	CCONJ
ap-2078	136	30	〈	〈	PROPN
ap-2078	136	31	φk|φk	φk|φk	NOUN
ap-2078	136	32	〉	〉	PROPN
ap-2078	136	33	≡	≡	PROPN
ap-2078	136	34	ak	ak	PROPN
ap-2078	136	35	→∞.	→∞.	PROPN
ap-2078	137	1	these	these	DET
ap-2078	137	2	two	two	NUM
ap-2078	137	3	relations	relation	NOUN
ap-2078	137	4	show	show	VERB
ap-2078	137	5	that	that	SCONJ
ap-2078	137	6	the	the	DET
ap-2078	137	7	phases	phase	NOUN
ap-2078	137	8	of	of	ADP
ap-2078	137	9	the	the	DET
ap-2078	137	10	two	two	NUM
ap-2078	137	11	eigenfunctions	eigenfunction	NOUN
ap-2078	137	12	relative	relative	ADJ
ap-2078	137	13	to	to	ADP
ap-2078	137	14	one	one	NUM
ap-2078	137	15	another	another	DET
ap-2078	137	16	change	change	NOUN
ap-2078	137	17	when	when	SCONJ
ap-2078	137	18	the	the	DET
ap-2078	137	19	crossing	crossing	NOUN
ap-2078	137	20	point	point	NOUN
ap-2078	137	21	is	be	AUX
ap-2078	137	22	approached	approach	VERB
ap-2078	137	23	.	.	PUNCT
ap-2078	138	1	this	this	PRON
ap-2078	138	2	can	can	AUX
ap-2078	138	3	be	be	AUX
ap-2078	138	4	expressed	express	VERB
ap-2078	138	5	quantitatively	quantitatively	ADV
ap-2078	138	6	by	by	ADP
ap-2078	138	7	defining	define	VERB
ap-2078	138	8	the	the	DET
ap-2078	138	9	phase	phase	NOUN
ap-2078	138	10	rigidity	rigidity	NOUN
ap-2078	138	11	rk	rk	NOUN
ap-2078	138	12	of	of	ADP
ap-2078	138	13	the	the	DET
ap-2078	138	14	eigenfunction	eigenfunction	NOUN
ap-2078	138	15	φk	φk	ADP
ap-2078	138	16	,	,	PUNCT
ap-2078	138	17	rk	rk	PROPN
ap-2078	138	18	≡	≡	PROPN
ap-2078	138	19	〈	〈	PROPN
ap-2078	138	20	φ∗k|φk	φ∗k|φk	PROPN
ap-2078	138	21	〉	〉	PROPN
ap-2078	138	22	〈	〈	PROPN
ap-2078	138	23	φk|φk	φk|φk	NOUN
ap-2078	138	24	〉	〉	NOUN
ap-2078	138	25	=	=	SYM
ap-2078	138	26	a−1	a−1	PROPN
ap-2078	138	27	k	k	PROPN
ap-2078	138	28	.	.	PUNCT
ap-2078	139	1	(	(	PUNCT
ap-2078	139	2	21	21	NUM
ap-2078	139	3	)	)	PUNCT
ap-2078	139	4	it	it	PRON
ap-2078	139	5	holds	hold	VERB
ap-2078	139	6	1	1	NUM
ap-2078	139	7	≥	≥	NOUN
ap-2078	139	8	rk	rk	PROPN
ap-2078	139	9	≥	≥	PROPN
ap-2078	139	10	0	0	NUM
ap-2078	139	11	.	.	PUNCT
ap-2078	140	1	the	the	DET
ap-2078	140	2	non	non	ADJ
ap-2078	140	3	-	-	ADJ
ap-2078	140	4	rigidity	rigidity	ADJ
ap-2078	140	5	rk	rk	NOUN
ap-2078	140	6	of	of	ADP
ap-2078	140	7	the	the	DET
ap-2078	140	8	phases	phase	NOUN
ap-2078	140	9	of	of	ADP
ap-2078	140	10	the	the	DET
ap-2078	140	11	eigenfunctions	eigenfunction	NOUN
ap-2078	140	12	of	of	ADP
ap-2078	140	13	h(2	h(2	NOUN
ap-2078	140	14	)	)	PUNCT
ap-2078	140	15	follows	follow	VERB
ap-2078	140	16	also	also	ADV
ap-2078	140	17	from	from	ADP
ap-2078	140	18	the	the	DET
ap-2078	140	19	fact	fact	NOUN
ap-2078	140	20	that	that	SCONJ
ap-2078	140	21	〈	〈	PROPN
ap-2078	140	22	φ∗k|φk	φ∗k|φk	PROPN
ap-2078	140	23	〉	〉	PROPN
ap-2078	140	24	is	be	AUX
ap-2078	140	25	a	a	DET
ap-2078	140	26	complex	complex	ADJ
ap-2078	140	27	number	number	NOUN
ap-2078	140	28	(	(	PUNCT
ap-2078	140	29	unlike	unlike	ADP
ap-2078	140	30	the	the	DET
ap-2078	140	31	norm	norm	NOUN
ap-2078	140	32	〈	〈	PROPN
ap-2078	140	33	φk|φk	φk|φk	NOUN
ap-2078	140	34	〉	〉	PROPN
ap-2078	140	35	,	,	PUNCT
ap-2078	140	36	which	which	PRON
ap-2078	140	37	is	be	AUX
ap-2078	140	38	a	a	DET
ap-2078	140	39	real	real	ADJ
ap-2078	140	40	number	number	NOUN
ap-2078	140	41	)	)	PUNCT
ap-2078	140	42	such	such	ADJ
ap-2078	140	43	that	that	SCONJ
ap-2078	140	44	the	the	DET
ap-2078	140	45	normalization	normalization	NOUN
ap-2078	140	46	condition	condition	NOUN
ap-2078	140	47	(	(	PUNCT
ap-2078	140	48	13	13	NUM
ap-2078	140	49	)	)	PUNCT
ap-2078	140	50	can	can	AUX
ap-2078	140	51	be	be	AUX
ap-2078	140	52	fulfilled	fulfil	VERB
ap-2078	140	53	only	only	ADV
ap-2078	140	54	by	by	ADP
ap-2078	140	55	the	the	DET
ap-2078	140	56	additional	additional	ADJ
ap-2078	140	57	postulation	postulation	NOUN
ap-2078	140	58	im〈φ∗k|φk	im〈φ∗k|φk	PROPN
ap-2078	140	59	〉	〉	NOUN
ap-2078	140	60	=	=	SYM
ap-2078	140	61	0	0	PUNCT
ap-2078	141	1	(	(	PUNCT
ap-2078	141	2	what	what	PRON
ap-2078	141	3	generally	generally	ADV
ap-2078	141	4	corresponds	correspond	VERB
ap-2078	141	5	to	to	ADP
ap-2078	141	6	a	a	DET
ap-2078	141	7	rotation	rotation	NOUN
ap-2078	141	8	)	)	PUNCT
ap-2078	141	9	.	.	PUNCT
ap-2078	142	1	when	when	SCONJ
ap-2078	142	2	rk	rk	VERB
ap-2078	142	3	<	<	X
ap-2078	142	4	1	1	NUM
ap-2078	142	5	,	,	PUNCT
ap-2078	142	6	an	an	DET
ap-2078	142	7	analytical	analytical	ADJ
ap-2078	142	8	expression	expression	NOUN
ap-2078	142	9	for	for	ADP
ap-2078	142	10	the	the	DET
ap-2078	142	11	eigenfunctions	eigenfunction	NOUN
ap-2078	142	12	as	as	ADP
ap-2078	142	13	a	a	DET
ap-2078	142	14	function	function	NOUN
ap-2078	142	15	of	of	ADP
ap-2078	142	16	a	a	DET
ap-2078	142	17	certain	certain	ADJ
ap-2078	142	18	control	control	NOUN
ap-2078	142	19	parameter	parameter	NOUN
ap-2078	142	20	can	can	AUX
ap-2078	142	21	,	,	PUNCT
ap-2078	142	22	generally	generally	ADV
ap-2078	142	23	,	,	PUNCT
ap-2078	142	24	not	not	PART
ap-2078	142	25	be	be	AUX
ap-2078	142	26	obtained	obtain	VERB
ap-2078	142	27	.	.	PUNCT
ap-2078	143	1	the	the	DET
ap-2078	143	2	non	non	ADJ
ap-2078	143	3	-	-	ADJ
ap-2078	143	4	rigidity	rigidity	ADJ
ap-2078	143	5	rk	rk	NOUN
ap-2078	143	6	<	<	X
ap-2078	143	7	1	1	NUM
ap-2078	143	8	of	of	ADP
ap-2078	143	9	the	the	DET
ap-2078	143	10	phases	phase	NOUN
ap-2078	143	11	of	of	ADP
ap-2078	143	12	the	the	DET
ap-2078	143	13	eigenfunctions	eigenfunction	NOUN
ap-2078	143	14	of	of	ADP
ap-2078	143	15	h(2	h(2	NOUN
ap-2078	143	16	)	)	PUNCT
ap-2078	143	17	in	in	ADP
ap-2078	143	18	the	the	DET
ap-2078	143	19	neighborhood	neighborhood	NOUN
ap-2078	143	20	of	of	ADP
ap-2078	143	21	eps	eps	PROPN
ap-2078	143	22	is	be	AUX
ap-2078	143	23	the	the	DET
ap-2078	143	24	most	most	ADV
ap-2078	143	25	important	important	ADJ
ap-2078	143	26	difference	difference	NOUN
ap-2078	143	27	between	between	ADP
ap-2078	143	28	the	the	DET
ap-2078	143	29	non	non	ADJ
ap-2078	143	30	-	-	ADJ
ap-2078	143	31	hermitian	hermitian	ADJ
ap-2078	143	32	quantum	quantum	ADJ
ap-2078	143	33	physics	physics	NOUN
ap-2078	143	34	and	and	CCONJ
ap-2078	143	35	the	the	DET
ap-2078	143	36	hermitian	hermitian	ADJ
ap-2078	143	37	one	one	NUM
ap-2078	143	38	.	.	PUNCT
ap-2078	144	1	mathematically	mathematically	ADV
ap-2078	144	2	,	,	PUNCT
ap-2078	144	3	it	it	PRON
ap-2078	144	4	causes	cause	VERB
ap-2078	144	5	nonlinear	nonlinear	ADJ
ap-2078	144	6	effects	effect	NOUN
ap-2078	144	7	in	in	ADP
ap-2078	144	8	quantum	quantum	ADJ
ap-2078	144	9	systems	system	NOUN
ap-2078	144	10	in	in	ADP
ap-2078	144	11	a	a	DET
ap-2078	144	12	natural	natural	ADJ
ap-2078	144	13	manner	manner	NOUN
ap-2078	144	14	,	,	PUNCT
ap-2078	144	15	as	as	SCONJ
ap-2078	144	16	shown	show	VERB
ap-2078	144	17	above	above	ADV
ap-2078	144	18	.	.	PUNCT
ap-2078	145	1	physically	physically	ADV
ap-2078	145	2	,	,	PUNCT
ap-2078	145	3	it	it	PRON
ap-2078	145	4	allows	allow	VERB
ap-2078	145	5	the	the	DET
ap-2078	145	6	alignment	alignment	NOUN
ap-2078	145	7	of	of	ADP
ap-2078	145	8	one	one	NUM
ap-2078	145	9	of	of	ADP
ap-2078	145	10	the	the	DET
ap-2078	145	11	states	state	NOUN
ap-2078	145	12	of	of	ADP
ap-2078	145	13	the	the	DET
ap-2078	145	14	system	system	NOUN
ap-2078	145	15	to	to	ADP
ap-2078	145	16	the	the	DET
ap-2078	145	17	common	common	ADJ
ap-2078	145	18	environment	environment	NOUN
ap-2078	145	19	[	[	X
ap-2078	145	20	10	10	NUM
ap-2078	145	21	]	]	PUNCT
ap-2078	145	22	.	.	PUNCT
ap-2078	146	1	results	result	NOUN
ap-2078	146	2	of	of	ADP
ap-2078	146	3	numerical	numerical	ADJ
ap-2078	146	4	calculations	calculation	NOUN
ap-2078	146	5	are	be	AUX
ap-2078	146	6	given	give	VERB
ap-2078	146	7	,	,	PUNCT
ap-2078	146	8	e.g.	e.g.	ADV
ap-2078	146	9	,	,	PUNCT
ap-2078	146	10	in	in	ADP
ap-2078	146	11	[	[	X
ap-2078	146	12	18	18	NUM
ap-2078	146	13	]	]	PUNCT
ap-2078	146	14	.	.	PUNCT
ap-2078	147	1	the	the	DET
ap-2078	147	2	mixing	mix	VERB
ap-2078	147	3	coefficients	coefficient	NOUN
ap-2078	147	4	bij	bij	VERB
ap-2078	147	5	(	(	PUNCT
ap-2078	147	6	defined	define	VERB
ap-2078	147	7	in	in	ADP
ap-2078	147	8	(	(	PUNCT
ap-2078	147	9	20	20	NUM
ap-2078	147	10	)	)	PUNCT
ap-2078	147	11	)	)	PUNCT
ap-2078	147	12	of	of	ADP
ap-2078	147	13	the	the	DET
ap-2078	147	14	wavefunctions	wavefunction	NOUN
ap-2078	147	15	of	of	ADP
ap-2078	147	16	the	the	DET
ap-2078	147	17	two	two	NUM
ap-2078	147	18	states	state	NOUN
ap-2078	147	19	due	due	ADP
ap-2078	147	20	to	to	ADP
ap-2078	147	21	their	their	PRON
ap-2078	147	22	avoided	avoid	VERB
ap-2078	147	23	crossing	crossing	NOUN
ap-2078	147	24	are	be	AUX
ap-2078	147	25	simulated	simulate	VERB
ap-2078	147	26	by	by	ADP
ap-2078	147	27	assuming	assume	VERB
ap-2078	147	28	a	a	DET
ap-2078	147	29	gaussian	gaussian	ADJ
ap-2078	147	30	distribution	distribution	NOUN
ap-2078	147	31	for	for	ADP
ap-2078	147	32	the	the	DET
ap-2078	147	33	coupling	coupling	NOUN
ap-2078	147	34	coefficients	coefficient	NOUN
ap-2078	147	35	ωi	ωi	NUM
ap-2078	148	1	6	6	NUM
ap-2078	148	2	=	=	SYM
ap-2078	148	3	j	j	NOUN
ap-2078	148	4	=	=	SYM
ap-2078	148	5	ωe−(ei−ej)2	ωe−(ei−ej)2	PROPN
ap-2078	148	6	(	(	PUNCT
ap-2078	148	7	for	for	ADP
ap-2078	148	8	real	real	ADJ
ap-2078	148	9	ω	ω	NOUN
ap-2078	148	10	,	,	PUNCT
ap-2078	148	11	the	the	DET
ap-2078	148	12	results	result	NOUN
ap-2078	148	13	of	of	ADP
ap-2078	148	14	the	the	DET
ap-2078	148	15	simulation	simulation	NOUN
ap-2078	148	16	agree	agree	VERB
ap-2078	148	17	with	with	ADP
ap-2078	148	18	the	the	DET
ap-2078	148	19	results	result	NOUN
ap-2078	148	20	[	[	X
ap-2078	148	21	17	17	NUM
ap-2078	148	22	]	]	PUNCT
ap-2078	148	23	of	of	ADP
ap-2078	148	24	exact	exact	ADJ
ap-2078	148	25	calculations	calculation	NOUN
ap-2078	148	26	)	)	PUNCT
ap-2078	148	27	.	.	PUNCT
ap-2078	149	1	in	in	ADP
ap-2078	149	2	[	[	X
ap-2078	149	3	18	18	NUM
ap-2078	149	4	]	]	PUNCT
ap-2078	149	5	,	,	PUNCT
ap-2078	149	6	results	result	NOUN
ap-2078	149	7	of	of	ADP
ap-2078	149	8	different	different	ADJ
ap-2078	149	9	calculations	calculation	NOUN
ap-2078	149	10	are	be	AUX
ap-2078	149	11	shown	show	VERB
ap-2078	149	12	for	for	ADP
ap-2078	149	13	illustration	illustration	NOUN
ap-2078	149	14	.	.	PUNCT
ap-2078	150	1	here	here	ADV
ap-2078	150	2	,	,	PUNCT
ap-2078	150	3	the	the	DET
ap-2078	150	4	coupling	coupling	NOUN
ap-2078	150	5	coefficients	coefficient	NOUN
ap-2078	150	6	ω	ω	PROPN
ap-2078	150	7	are	be	AUX
ap-2078	150	8	assumed	assume	VERB
ap-2078	150	9	to	to	PART
ap-2078	150	10	be	be	AUX
ap-2078	150	11	either	either	CCONJ
ap-2078	150	12	real	real	ADJ
ap-2078	150	13	or	or	CCONJ
ap-2078	150	14	complex	complex	ADJ
ap-2078	150	15	or	or	CCONJ
ap-2078	150	16	imaginary	imaginary	ADJ
ap-2078	150	17	according	accord	VERB
ap-2078	150	18	to	to	ADP
ap-2078	150	19	the	the	DET
ap-2078	150	20	different	different	ADJ
ap-2078	150	21	possibilities	possibility	NOUN
ap-2078	150	22	provided	provide	VERB
ap-2078	150	23	by	by	ADP
ap-2078	150	24	(	(	PUNCT
ap-2078	150	25	2	2	NUM
ap-2078	150	26	)	)	PUNCT
ap-2078	150	27	and	and	CCONJ
ap-2078	150	28	(	(	PUNCT
ap-2078	150	29	3	3	NUM
ap-2078	150	30	)	)	PUNCT
ap-2078	150	31	.	.	PUNCT
ap-2078	151	1	the	the	DET
ap-2078	151	2	main	main	ADJ
ap-2078	151	3	difference	difference	NOUN
ap-2078	151	4	of	of	ADP
ap-2078	151	5	the	the	DET
ap-2078	151	6	eigenvalue	eigenvalue	ADJ
ap-2078	151	7	trajectories	trajectory	NOUN
ap-2078	151	8	with	with	ADP
ap-2078	151	9	real	real	ADJ
ap-2078	151	10	coupling	coupling	NOUN
ap-2078	151	11	coefficients	coefficient	VERB
ap-2078	151	12	ω	ω	NUM
ap-2078	151	13	to	to	ADP
ap-2078	151	14	those	those	PRON
ap-2078	151	15	with	with	ADP
ap-2078	151	16	imaginary	imaginary	ADJ
ap-2078	151	17	coupling	coupling	NOUN
ap-2078	151	18	coefficients	coefficient	NOUN
ap-2078	151	19	ω	ω	PROPN
ap-2078	151	20	is	be	AUX
ap-2078	151	21	related	relate	VERB
ap-2078	151	22	to	to	ADP
ap-2078	151	23	the	the	DET
ap-2078	151	24	relations	relation	NOUN
ap-2078	151	25	(	(	PUNCT
ap-2078	151	26	6	6	NUM
ap-2078	151	27	)	)	PUNCT
ap-2078	151	28	to	to	AUX
ap-2078	151	29	(	(	PUNCT
ap-2078	151	30	10	10	NUM
ap-2078	151	31	)	)	PUNCT
ap-2078	151	32	obtained	obtain	VERB
ap-2078	151	33	analytically	analytically	ADV
ap-2078	151	34	.	.	PUNCT
ap-2078	152	1	for	for	ADP
ap-2078	152	2	γ1	γ1	PROPN
ap-2078	152	3	6=	6=	ADP
ap-2078	152	4	γ2	γ2	PROPN
ap-2078	152	5	and	and	CCONJ
ap-2078	152	6	real	real	ADJ
ap-2078	152	7	,	,	PUNCT
ap-2078	152	8	complex	complex	ADJ
ap-2078	152	9	or	or	CCONJ
ap-2078	152	10	even	even	ADV
ap-2078	152	11	imaginary	imaginary	PROPN
ap-2078	152	12	ω	ω	PROPN
ap-2078	152	13	,	,	PUNCT
ap-2078	152	14	the	the	DET
ap-2078	152	15	results	result	NOUN
ap-2078	152	16	show	show	VERB
ap-2078	152	17	one	one	NUM
ap-2078	152	18	ep	ep	NOUN
ap-2078	152	19	when	when	SCONJ
ap-2078	152	20	the	the	DET
ap-2078	152	21	condition	condition	NOUN
ap-2078	152	22	z	z	NOUN
ap-2078	152	23	=	=	SYM
ap-2078	152	24	0	0	NUM
ap-2078	152	25	is	be	AUX
ap-2078	152	26	fulfilled	fulfil	VERB
ap-2078	152	27	.	.	PUNCT
ap-2078	153	1	this	this	DET
ap-2078	153	2	ep	ep	PROPN
ap-2078	153	3	is	be	AUX
ap-2078	153	4	isolated	isolate	VERB
ap-2078	153	5	from	from	ADP
ap-2078	153	6	other	other	ADJ
ap-2078	153	7	eps	eps	PROPN
ap-2078	153	8	,	,	PUNCT
ap-2078	153	9	generally	generally	ADV
ap-2078	153	10	,	,	PUNCT
ap-2078	153	11	when	when	SCONJ
ap-2078	153	12	the	the	DET
ap-2078	153	13	level	level	NOUN
ap-2078	153	14	density	density	NOUN
ap-2078	153	15	is	be	AUX
ap-2078	153	16	low	low	ADJ
ap-2078	153	17	.	.	PUNCT
ap-2078	154	1	in	in	ADP
ap-2078	154	2	the	the	DET
ap-2078	154	3	case	case	NOUN
ap-2078	154	4	of	of	ADP
ap-2078	154	5	γ1	γ1	PROPN
ap-2078	154	6	≈	≈	PROPN
ap-2078	154	7	γ2	γ2	PROPN
ap-2078	154	8	and	and	CCONJ
ap-2078	154	9	imaginary	imaginary	PROPN
ap-2078	154	10	ω	ω	NOUN
ap-2078	154	11	however	however	ADV
ap-2078	154	12	,	,	PUNCT
ap-2078	154	13	two	two	NUM
ap-2078	154	14	related	relate	VERB
ap-2078	154	15	eps	eps	PROPN
ap-2078	154	16	appear	appear	VERB
ap-2078	154	17	,	,	PUNCT
ap-2078	154	18	see	see	VERB
ap-2078	154	19	fig	fig	NOUN
ap-2078	154	20	.	.	PUNCT
ap-2078	155	1	1	1	NUM
ap-2078	155	2	right	right	ADJ
ap-2078	155	3	panel	panel	NOUN
ap-2078	155	4	.	.	PUNCT
ap-2078	156	1	between	between	ADP
ap-2078	156	2	these	these	DET
ap-2078	156	3	two	two	NUM
ap-2078	156	4	eps	ep	NOUN
ap-2078	156	5	,	,	PUNCT
ap-2078	156	6	the	the	DET
ap-2078	156	7	widths	width	NOUN
ap-2078	156	8	γi	γi	X
ap-2078	156	9	bifurcate	bifurcate	NOUN
ap-2078	156	10	(	(	PUNCT
ap-2078	156	11	fig	fig	NOUN
ap-2078	156	12	.	.	PUNCT
ap-2078	156	13	1d	1d	NUM
ap-2078	156	14	)	)	PUNCT
ap-2078	156	15	while	while	SCONJ
ap-2078	156	16	the	the	DET
ap-2078	156	17	energies	energy	NOUN
ap-2078	156	18	ei	ei	AUX
ap-2078	156	19	do	do	AUX
ap-2078	156	20	not	not	PART
ap-2078	156	21	change	change	VERB
ap-2078	156	22	(	(	PUNCT
ap-2078	156	23	fig	fig	NOUN
ap-2078	156	24	.	.	PUNCT
ap-2078	156	25	1b	1b	NUM
ap-2078	156	26	)	)	PUNCT
ap-2078	156	27	.	.	PUNCT
ap-2078	157	1	it	it	PRON
ap-2078	157	2	is	be	AUX
ap-2078	157	3	interesting	interesting	ADJ
ap-2078	157	4	to	to	PART
ap-2078	157	5	see	see	VERB
ap-2078	157	6	that	that	DET
ap-2078	157	7	width	width	ADJ
ap-2078	157	8	bifurcation	bifurcation	NOUN
ap-2078	157	9	occurs	occur	VERB
ap-2078	157	10	between	between	ADP
ap-2078	157	11	the	the	DET
ap-2078	157	12	two	two	NUM
ap-2078	157	13	eps	ep	NOUN
ap-2078	157	14	,	,	PUNCT
ap-2078	157	15	according	accord	VERB
ap-2078	157	16	to	to	ADP
ap-2078	157	17	(	(	PUNCT
ap-2078	157	18	8)	8)	NUM
ap-2078	157	19	and	and	CCONJ
ap-2078	157	20	(	(	PUNCT
ap-2078	157	21	10	10	NUM
ap-2078	157	22	)	)	PUNCT
ap-2078	157	23	,	,	PUNCT
ap-2078	157	24	without	without	ADP
ap-2078	157	25	any	any	DET
ap-2078	157	26	enhancement	enhancement	NOUN
ap-2078	157	27	of	of	ADP
ap-2078	157	28	the	the	DET
ap-2078	157	29	coupling	couple	VERB
ap-2078	157	30	strength	strength	NOUN
ap-2078	157	31	to	to	ADP
ap-2078	157	32	the	the	DET
ap-2078	157	33	environment	environment	NOUN
ap-2078	157	34	.	.	PUNCT
ap-2078	158	1	beyond	beyond	ADP
ap-2078	158	2	the	the	DET
ap-2078	158	3	two	two	NUM
ap-2078	158	4	eps	ep	NOUN
ap-2078	158	5	,	,	PUNCT
ap-2078	158	6	the	the	DET
ap-2078	158	7	eigenvalues	eigenvalue	NOUN
ap-2078	158	8	approach	approach	VERB
ap-2078	158	9	the	the	DET
ap-2078	158	10	original	original	ADJ
ap-2078	158	11	values	value	NOUN
ap-2078	158	12	.	.	PUNCT
ap-2078	159	1	in	in	ADP
ap-2078	159	2	a	a	DET
ap-2078	159	3	finite	finite	ADJ
ap-2078	159	4	neighborhood	neighborhood	NOUN
ap-2078	159	5	of	of	ADP
ap-2078	159	6	the	the	DET
ap-2078	159	7	point	point	NOUN
ap-2078	159	8	at	at	ADP
ap-2078	159	9	which	which	PRON
ap-2078	159	10	the	the	DET
ap-2078	159	11	two	two	NUM
ap-2078	159	12	eigenvalue	eigenvalue	PROPN
ap-2078	159	13	trajectories	trajectory	NOUN
ap-2078	159	14	cross	cross	VERB
ap-2078	159	15	,	,	PUNCT
ap-2078	159	16	the	the	DET
ap-2078	159	17	eigenfunctions	eigenfunction	NOUN
ap-2078	159	18	are	be	AUX
ap-2078	159	19	mixed	mixed	ADJ
ap-2078	159	20	and	and	CCONJ
ap-2078	159	21	|bij	|bij	VERB
ap-2078	159	22	|	|	ADV
ap-2078	159	23	→	→	SYM
ap-2078	159	24	∞	∞	PROPN
ap-2078	159	25	when	when	SCONJ
ap-2078	159	26	approaching	approach	VERB
ap-2078	159	27	the	the	DET
ap-2078	159	28	ep	ep	PROPN
ap-2078	159	29	(	(	PUNCT
ap-2078	159	30	fig	fig	PROPN
ap-2078	159	31	.	.	PUNCT
ap-2078	160	1	1f	1f	NUM
ap-2078	160	2	)	)	PUNCT
ap-2078	160	3	.	.	PUNCT
ap-2078	161	1	the	the	DET
ap-2078	161	2	phases	phase	NOUN
ap-2078	161	3	of	of	ADP
ap-2078	161	4	all	all	DET
ap-2078	161	5	components	component	NOUN
ap-2078	161	6	of	of	ADP
ap-2078	161	7	the	the	DET
ap-2078	161	8	eigenfunctions	eigenfunction	NOUN
ap-2078	161	9	jump	jump	VERB
ap-2078	161	10	at	at	ADP
ap-2078	161	11	the	the	DET
ap-2078	161	12	ep	ep	PROPN
ap-2078	161	13	either	either	CCONJ
ap-2078	161	14	by	by	ADP
ap-2078	161	15	−π/4	−π/4	PRON
ap-2078	161	16	or	or	CCONJ
ap-2078	161	17	by	by	ADP
ap-2078	161	18	+	+	NOUN
ap-2078	161	19	π/4	π/4	PROPN
ap-2078	161	20	[	[	X
ap-2078	161	21	19	19	NUM
ap-2078	161	22	]	]	PUNCT
ap-2078	161	23	.	.	PUNCT
ap-2078	162	1	this	this	PRON
ap-2078	162	2	means	mean	VERB
ap-2078	162	3	that	that	SCONJ
ap-2078	162	4	the	the	DET
ap-2078	162	5	phases	phase	NOUN
ap-2078	162	6	of	of	ADP
ap-2078	162	7	both	both	DET
ap-2078	162	8	eigenfunctions	eigenfunction	NOUN
ap-2078	162	9	jump	jump	VERB
ap-2078	162	10	in	in	ADP
ap-2078	162	11	the	the	DET
ap-2078	162	12	same	same	ADJ
ap-2078	162	13	direction	direction	NOUN
ap-2078	162	14	by	by	ADP
ap-2078	162	15	the	the	DET
ap-2078	162	16	same	same	ADJ
ap-2078	162	17	amount	amount	NOUN
ap-2078	162	18	.	.	PUNCT
ap-2078	163	1	thus	thus	ADV
ap-2078	163	2	,	,	PUNCT
ap-2078	163	3	there	there	PRON
ap-2078	163	4	is	be	VERB
ap-2078	163	5	a	a	DET
ap-2078	163	6	phase	phase	NOUN
ap-2078	163	7	jump	jump	NOUN
ap-2078	163	8	of	of	ADP
ap-2078	163	9	−π/2	−π/2	PROPN
ap-2078	163	10	(	(	PUNCT
ap-2078	163	11	or	or	CCONJ
ap-2078	163	12	+	+	NOUN
ap-2078	163	13	π/2	π/2	NUM
ap-2078	163	14	)	)	PUNCT
ap-2078	163	15	when	when	SCONJ
ap-2078	163	16	one	one	NUM
ap-2078	163	17	of	of	ADP
ap-2078	163	18	the	the	DET
ap-2078	163	19	eigenfunctions	eigenfunction	NOUN
ap-2078	163	20	passes	pass	VERB
ap-2078	163	21	into	into	ADP
ap-2078	163	22	the	the	DET
ap-2078	163	23	other	other	ADJ
ap-2078	163	24	one	one	NUM
ap-2078	163	25	at	at	ADP
ap-2078	163	26	the	the	DET
ap-2078	163	27	ep	ep	PROPN
ap-2078	163	28	.	.	PUNCT
ap-2078	164	1	this	this	DET
ap-2078	164	2	result	result	NOUN
ap-2078	164	3	is	be	AUX
ap-2078	164	4	in	in	ADP
ap-2078	164	5	agreement	agreement	NOUN
ap-2078	164	6	with	with	ADP
ap-2078	164	7	(	(	PUNCT
ap-2078	164	8	16	16	NUM
ap-2078	164	9	)	)	PUNCT
ap-2078	164	10	.	.	PUNCT
ap-2078	165	1	it	it	PRON
ap-2078	165	2	holds	hold	VERB
ap-2078	165	3	true	true	ADJ
ap-2078	165	4	for	for	ADP
ap-2078	165	5	real	real	ADJ
ap-2078	165	6	as	as	ADV
ap-2078	165	7	well	well	ADV
ap-2078	165	8	as	as	ADP
ap-2078	165	9	for	for	ADP
ap-2078	165	10	imaginary	imaginary	ADJ
ap-2078	165	11	ω	ω	NOUN
ap-2078	165	12	.	.	PROPN
ap-2078	166	1	3	3	NUM
ap-2078	166	2	.	.	NOUN
ap-2078	166	3	exceptional	exceptional	ADJ
ap-2078	166	4	points	point	NOUN
ap-2078	166	5	in	in	ADP
ap-2078	166	6	pt	pt	PROPN
ap-2078	166	7	symmetric	symmetric	ADJ
ap-2078	166	8	systems	system	NOUN
ap-2078	166	9	as	as	SCONJ
ap-2078	166	10	has	have	AUX
ap-2078	166	11	been	be	AUX
ap-2078	166	12	shown	show	VERB
ap-2078	166	13	in	in	ADP
ap-2078	166	14	[	[	X
ap-2078	166	15	4	4	NUM
ap-2078	166	16	]	]	PUNCT
ap-2078	166	17	,	,	PUNCT
ap-2078	166	18	the	the	DET
ap-2078	166	19	optical	optical	ADJ
ap-2078	166	20	wave	wave	NOUN
ap-2078	166	21	equation	equation	NOUN
ap-2078	166	22	in	in	ADP
ap-2078	166	23	pt	pt	PROPN
ap-2078	166	24	symmetric	symmetric	ADJ
ap-2078	166	25	optical	optical	ADJ
ap-2078	166	26	lattices	lattice	NOUN
ap-2078	166	27	is	be	AUX
ap-2078	166	28	formally	formally	ADV
ap-2078	166	29	equivalent	equivalent	ADJ
ap-2078	166	30	to	to	ADP
ap-2078	166	31	a	a	DET
ap-2078	166	32	quantum	quantum	ADJ
ap-2078	166	33	mechanical	mechanical	ADJ
ap-2078	166	34	schrödinger	schrödinger	ADJ
ap-2078	166	35	equation	equation	NOUN
ap-2078	166	36	.	.	PUNCT
ap-2078	167	1	complex	complex	ADJ
ap-2078	167	2	pt	pt	X
ap-2078	167	3	symmetric	symmetric	ADJ
ap-2078	167	4	structures	structure	NOUN
ap-2078	167	5	can	can	AUX
ap-2078	167	6	be	be	AUX
ap-2078	167	7	realized	realize	VERB
ap-2078	167	8	by	by	ADP
ap-2078	167	9	involving	involve	VERB
ap-2078	167	10	symmetric	symmetric	ADJ
ap-2078	167	11	index	index	NOUN
ap-2078	167	12	guiding	guiding	NOUN
ap-2078	167	13	and	and	CCONJ
ap-2078	167	14	an	an	DET
ap-2078	167	15	antisymmetric	antisymmetric	ADJ
ap-2078	167	16	gain	gain	NOUN
ap-2078	167	17	/	/	SYM
ap-2078	167	18	loss	loss	NOUN
ap-2078	167	19	profile	profile	NOUN
ap-2078	167	20	.	.	PUNCT
ap-2078	168	1	the	the	DET
ap-2078	168	2	main	main	ADJ
ap-2078	168	3	difference	difference	NOUN
ap-2078	168	4	between	between	ADP
ap-2078	168	5	these	these	DET
ap-2078	168	6	optical	optical	ADJ
ap-2078	168	7	systems	system	NOUN
ap-2078	168	8	and	and	CCONJ
ap-2078	168	9	open	open	ADJ
ap-2078	168	10	quantum	quantum	NOUN
ap-2078	168	11	systems	system	NOUN
ap-2078	168	12	consists	consist	VERB
ap-2078	168	13	in	in	ADP
ap-2078	168	14	the	the	DET
ap-2078	168	15	asymmetry	asymmetry	NOUN
ap-2078	168	16	of	of	ADP
ap-2078	168	17	gain	gain	NOUN
ap-2078	168	18	and	and	CCONJ
ap-2078	168	19	loss	loss	NOUN
ap-2078	168	20	in	in	ADP
ap-2078	168	21	the	the	DET
ap-2078	168	22	first	first	ADJ
ap-2078	168	23	case	case	NOUN
ap-2078	168	24	while	while	SCONJ
ap-2078	168	25	the	the	DET
ap-2078	168	26	states	state	NOUN
ap-2078	168	27	of	of	ADP
ap-2078	168	28	an	an	DET
ap-2078	168	29	open	open	ADJ
ap-2078	168	30	quantum	quantum	NOUN
ap-2078	168	31	system	system	NOUN
ap-2078	168	32	can	can	AUX
ap-2078	168	33	only	only	ADV
ap-2078	168	34	decay	decay	VERB
ap-2078	168	35	(	(	PUNCT
ap-2078	168	36	im(ε1,2	im(ε1,2	ADJ
ap-2078	168	37	)	)	PUNCT
ap-2078	168	38	<	<	X
ap-2078	168	39	0	0	PUNCT
ap-2078	168	40	and	and	CCONJ
ap-2078	168	41	im(e1,2	im(e1,2	NOUN
ap-2078	168	42	)	)	PUNCT
ap-2078	168	43	<	<	X
ap-2078	168	44	0	0	NUM
ap-2078	168	45	for	for	ADP
ap-2078	168	46	all	all	DET
ap-2078	168	47	states	state	NOUN
ap-2078	168	48	)	)	PUNCT
ap-2078	168	49	.	.	PUNCT
ap-2078	169	1	thus	thus	ADV
ap-2078	169	2	,	,	PUNCT
ap-2078	169	3	the	the	DET
ap-2078	169	4	modes	mode	NOUN
ap-2078	169	5	involved	involve	VERB
ap-2078	169	6	in	in	ADP
ap-2078	169	7	the	the	DET
ap-2078	169	8	non	non	ADJ
ap-2078	169	9	-	-	ADJ
ap-2078	169	10	hermitian	hermitian	ADJ
ap-2078	169	11	hamiltonian	hamiltonian	NOUN
ap-2078	169	12	in	in	ADP
ap-2078	169	13	optics	optic	NOUN
ap-2078	169	14	appear	appear	VERB
ap-2078	169	15	in	in	ADP
ap-2078	169	16	complex	complex	ADJ
ap-2078	169	17	conjugate	conjugate	ADJ
ap-2078	169	18	pairs	pair	NOUN
ap-2078	169	19	while	while	SCONJ
ap-2078	169	20	this	this	PRON
ap-2078	169	21	is	be	AUX
ap-2078	169	22	not	not	PART
ap-2078	169	23	the	the	DET
ap-2078	169	24	case	case	NOUN
ap-2078	169	25	in	in	ADP
ap-2078	169	26	an	an	DET
ap-2078	169	27	open	open	ADJ
ap-2078	169	28	quantum	quantum	NOUN
ap-2078	169	29	system	system	NOUN
ap-2078	169	30	.	.	PUNCT
ap-2078	170	1	as	as	ADP
ap-2078	170	2	a	a	DET
ap-2078	170	3	consequence	consequence	NOUN
ap-2078	170	4	,	,	PUNCT
ap-2078	170	5	the	the	DET
ap-2078	170	6	hamiltonian	hamiltonian	NOUN
ap-2078	170	7	for	for	ADP
ap-2078	170	8	pt	pt	X
ap-2078	170	9	symmetric	symmetric	ADJ
ap-2078	170	10	structures	structure	NOUN
ap-2078	170	11	in	in	ADP
ap-2078	170	12	optical	optical	ADJ
ap-2078	170	13	lattices	lattice	NOUN
ap-2078	170	14	may	may	AUX
ap-2078	170	15	have	have	VERB
ap-2078	170	16	real	real	ADJ
ap-2078	170	17	eigenvalues	eigenvalue	NOUN
ap-2078	170	18	in	in	ADP
ap-2078	170	19	a	a	DET
ap-2078	170	20	large	large	ADJ
ap-2078	170	21	parameter	parameter	NOUN
ap-2078	170	22	range	range	NOUN
ap-2078	170	23	.	.	PUNCT
ap-2078	171	1	the	the	DET
ap-2078	171	2	2×	2×	NUM
ap-2078	171	3	2	2	NUM
ap-2078	171	4	non	non	ADJ
ap-2078	171	5	-	-	ADJ
ap-2078	171	6	hermitian	hermitian	ADJ
ap-2078	171	7	hamiltonian	hamiltonian	NOUN
ap-2078	171	8	may	may	AUX
ap-2078	171	9	be	be	AUX
ap-2078	171	10	written	write	VERB
ap-2078	171	11	as	as	ADP
ap-2078	171	12	[	[	X
ap-2078	171	13	4	4	NUM
ap-2078	171	14	,	,	PUNCT
ap-2078	171	15	12	12	NUM
ap-2078	171	16	]	]	X
ap-2078	171	17	hpt	hpt	NOUN
ap-2078	171	18	=	=	SYM
ap-2078	171	19	(	(	PUNCT
ap-2078	171	20	e−	e−	X
ap-2078	171	21	iγ2	iγ2	PROPN
ap-2078	171	22	w	w	PROPN
ap-2078	171	23	w∗	w∗	PROPN
ap-2078	171	24	e+	e+	PUNCT
ap-2078	171	25	iγ2	iγ2	NOUN
ap-2078	171	26	)	)	PUNCT
ap-2078	171	27	,	,	PUNCT
ap-2078	171	28	(	(	PUNCT
ap-2078	171	29	22	22	NUM
ap-2078	171	30	)	)	PUNCT
ap-2078	171	31	where	where	SCONJ
ap-2078	171	32	e	e	NOUN
ap-2078	171	33	stands	stand	VERB
ap-2078	171	34	for	for	ADP
ap-2078	171	35	the	the	DET
ap-2078	171	36	energy	energy	NOUN
ap-2078	171	37	of	of	ADP
ap-2078	171	38	the	the	DET
ap-2078	171	39	two	two	NUM
ap-2078	171	40	modes	mode	NOUN
ap-2078	171	41	,	,	PUNCT
ap-2078	171	42	±γ	±γ	PROPN
ap-2078	171	43	describes	describe	VERB
ap-2078	171	44	gain	gain	NOUN
ap-2078	171	45	and	and	CCONJ
ap-2078	171	46	loss	loss	NOUN
ap-2078	171	47	,	,	PUNCT
ap-2078	171	48	respectively	respectively	ADV
ap-2078	171	49	,	,	PUNCT
ap-2078	171	50	and	and	CCONJ
ap-2078	171	51	the	the	DET
ap-2078	171	52	coupling	coupling	NOUN
ap-2078	171	53	coefficients	coefficient	VERB
ap-2078	171	54	w	w	AUX
ap-2078	171	55	stand	stand	VERB
ap-2078	171	56	for	for	ADP
ap-2078	171	57	the	the	DET
ap-2078	171	58	coupling	coupling	NOUN
ap-2078	171	59	of	of	ADP
ap-2078	171	60	the	the	DET
ap-2078	171	61	two	two	NUM
ap-2078	171	62	modes	mode	NOUN
ap-2078	171	63	via	via	ADP
ap-2078	171	64	the	the	DET
ap-2078	171	65	lattice	lattice	NOUN
ap-2078	171	66	.	.	PUNCT
ap-2078	172	1	when	when	SCONJ
ap-2078	172	2	the	the	DET
ap-2078	172	3	pt	pt	ADJ
ap-2078	172	4	symmetric	symmetric	ADJ
ap-2078	172	5	optical	optical	ADJ
ap-2078	172	6	lattices	lattice	NOUN
ap-2078	172	7	are	be	AUX
ap-2078	172	8	studied	study	VERB
ap-2078	172	9	with	with	ADP
ap-2078	172	10	vanishing	vanish	VERB
ap-2078	172	11	gain	gain	NOUN
ap-2078	172	12	,	,	PUNCT
ap-2078	172	13	the	the	DET
ap-2078	172	14	hamiltonian	hamiltonian	NOUN
ap-2078	172	15	reads	read	VERB
ap-2078	172	16	h′pt	h′pt	NOUN
ap-2078	172	17	=	=	PUNCT
ap-2078	172	18	(	(	PUNCT
ap-2078	172	19	e−	e−	X
ap-2078	172	20	iγ2	iγ2	PROPN
ap-2078	172	21	w	w	PROPN
ap-2078	172	22	w∗	w∗	PROPN
ap-2078	172	23	e	e	PROPN
ap-2078	172	24	)	)	PUNCT
ap-2078	172	25	.	.	PUNCT
ap-2078	173	1	(	(	PUNCT
ap-2078	173	2	23	23	NUM
ap-2078	173	3	)	)	PUNCT
ap-2078	173	4	in	in	ADP
ap-2078	173	5	realistic	realistic	ADJ
ap-2078	173	6	systems	system	NOUN
ap-2078	173	7	,	,	PUNCT
ap-2078	173	8	w	w	NOUN
ap-2078	173	9	in	in	ADP
ap-2078	173	10	(	(	PUNCT
ap-2078	173	11	22	22	NUM
ap-2078	173	12	)	)	PUNCT
ap-2078	173	13	and	and	CCONJ
ap-2078	173	14	(	(	PUNCT
ap-2078	173	15	23	23	NUM
ap-2078	173	16	)	)	PUNCT
ap-2078	173	17	is	be	AUX
ap-2078	173	18	mostly	mostly	ADV
ap-2078	173	19	real	real	ADJ
ap-2078	173	20	(	(	PUNCT
ap-2078	173	21	or	or	CCONJ
ap-2078	173	22	almost	almost	ADV
ap-2078	173	23	real	real	ADJ
ap-2078	173	24	)	)	PUNCT
ap-2078	174	1	[	[	X
ap-2078	174	2	20	20	NUM
ap-2078	174	3	]	]	PUNCT
ap-2078	174	4	.	.	PUNCT
ap-2078	175	1	the	the	DET
ap-2078	175	2	eigenvalues	eigenvalue	NOUN
ap-2078	175	3	of	of	ADP
ap-2078	175	4	the	the	DET
ap-2078	175	5	hamiltonian	hamiltonian	NOUN
ap-2078	175	6	(	(	PUNCT
ap-2078	175	7	22	22	NUM
ap-2078	175	8	)	)	PUNCT
ap-2078	175	9	differ	differ	VERB
ap-2078	175	10	from	from	ADP
ap-2078	175	11	(	(	PUNCT
ap-2078	175	12	5	5	NUM
ap-2078	175	13	)	)	PUNCT
ap-2078	175	14	,	,	PUNCT
ap-2078	175	15	ept±	ept±	PRON
ap-2078	175	16	=	=	SYM
ap-2078	175	17	e±	e±	PROPN
ap-2078	175	18	1	1	NUM
ap-2078	175	19	2	2	NUM
ap-2078	175	20	√	√	NUM
ap-2078	175	21	4|w|2	4|w|2	NUM
ap-2078	175	22	−	−	PROPN
ap-2078	175	23	γ2	γ2	PROPN
ap-2078	175	24	≡	≡	PROPN
ap-2078	175	25	e±	e±	PROPN
ap-2078	175	26	zpt	zpt	PROPN
ap-2078	175	27	.	.	PUNCT
ap-2078	176	1	(	(	PUNCT
ap-2078	176	2	24	24	NUM
ap-2078	176	3	)	)	PUNCT
ap-2078	176	4	a	a	DET
ap-2078	176	5	similar	similar	ADJ
ap-2078	176	6	expression	expression	NOUN
ap-2078	176	7	is	be	AUX
ap-2078	176	8	derived	derive	VERB
ap-2078	176	9	in	in	ADP
ap-2078	176	10	[	[	X
ap-2078	176	11	5	5	NUM
ap-2078	176	12	]	]	PUNCT
ap-2078	176	13	.	.	PUNCT
ap-2078	177	1	since	since	SCONJ
ap-2078	177	2	e	e	PROPN
ap-2078	177	3	and	and	CCONJ
ap-2078	177	4	γ	γ	NOUN
ap-2078	177	5	are	be	AUX
ap-2078	177	6	real	real	ADJ
ap-2078	177	7	,	,	PUNCT
ap-2078	177	8	the	the	DET
ap-2078	177	9	ept±	ept±	PRON
ap-2078	177	10	are	be	AUX
ap-2078	177	11	real	real	ADJ
ap-2078	177	12	when	when	SCONJ
ap-2078	177	13	4|w|2	4|w|2	PRON
ap-2078	177	14	>	>	X
ap-2078	177	15	γ2	γ2	PROPN
ap-2078	177	16	.	.	PUNCT
ap-2078	178	1	under	under	ADP
ap-2078	178	2	this	this	DET
ap-2078	178	3	109	109	NUM
ap-2078	178	4	hichem	hichem	NOUN
ap-2078	178	5	eleuch	eleuch	NOUN
ap-2078	178	6	,	,	PUNCT
ap-2078	178	7	ingrid	ingrid	PROPN
ap-2078	178	8	rotter	rotter	PROPN
ap-2078	178	9	acta	acta	PROPN
ap-2078	178	10	polytechnica	polytechnica	PROPN
ap-2078	178	11	condition	condition	NOUN
ap-2078	178	12	,	,	PUNCT
ap-2078	178	13	the	the	DET
ap-2078	178	14	two	two	NUM
ap-2078	178	15	levels	level	NOUN
ap-2078	178	16	repel	repel	VERB
ap-2078	178	17	each	each	DET
ap-2078	178	18	other	other	ADJ
ap-2078	178	19	in	in	ADP
ap-2078	178	20	energy	energy	NOUN
ap-2078	178	21	,	,	PUNCT
ap-2078	178	22	which	which	PRON
ap-2078	178	23	is	be	AUX
ap-2078	178	24	characteristic	characteristic	ADJ
ap-2078	178	25	of	of	ADP
ap-2078	178	26	discrete	discrete	ADJ
ap-2078	178	27	interacting	interact	VERB
ap-2078	178	28	states	state	NOUN
ap-2078	178	29	.	.	PUNCT
ap-2078	179	1	the	the	DET
ap-2078	179	2	level	level	NOUN
ap-2078	179	3	repulsion	repulsion	NOUN
ap-2078	179	4	decreases	decrease	VERB
ap-2078	179	5	with	with	ADP
ap-2078	179	6	increasing	increase	VERB
ap-2078	179	7	γ	γ	NOUN
ap-2078	179	8	(	(	PUNCT
ap-2078	179	9	when	when	SCONJ
ap-2078	179	10	the	the	DET
ap-2078	179	11	interaction	interaction	NOUN
ap-2078	179	12	w	w	NOUN
ap-2078	179	13	is	be	AUX
ap-2078	179	14	fixed	fix	VERB
ap-2078	179	15	)	)	PUNCT
ap-2078	179	16	.	.	PUNCT
ap-2078	180	1	when	when	SCONJ
ap-2078	180	2	4|w|2	4|w|2	ADV
ap-2078	180	3	=	=	SYM
ap-2078	180	4	γ2	γ2	PROPN
ap-2078	180	5	the	the	DET
ap-2078	180	6	two	two	NUM
ap-2078	180	7	states	state	NOUN
ap-2078	180	8	cross	cross	VERB
ap-2078	180	9	.	.	PUNCT
ap-2078	181	1	here	here	ADV
ap-2078	181	2	,	,	PUNCT
ap-2078	181	3	ept±	ept±	PRON
ap-2078	181	4	=	=	SYM
ap-2078	181	5	e	e	PROPN
ap-2078	181	6	and	and	CCONJ
ap-2078	181	7	γ	γ	X
ap-2078	181	8	=	=	SYM
ap-2078	181	9	±	±	PROPN
ap-2078	181	10	√	√	NUM
ap-2078	181	11	4|w|2	4|w|2	NOUN
ap-2078	181	12	.	.	PUNCT
ap-2078	182	1	with	with	ADP
ap-2078	182	2	further	far	ADV
ap-2078	182	3	increasing	increase	VERB
ap-2078	182	4	γ	γ	NOUN
ap-2078	182	5	and	and	CCONJ
ap-2078	182	6	4|w|2	4|w|2	NOUN
ap-2078	182	7	<	<	X
ap-2078	182	8	γ2	γ2	PROPN
ap-2078	182	9	(	(	PUNCT
ap-2078	182	10	w	w	NOUN
ap-2078	182	11	fixed	fix	VERB
ap-2078	182	12	for	for	ADP
ap-2078	182	13	illustration	illustration	NOUN
ap-2078	182	14	)	)	PUNCT
ap-2078	182	15	,	,	PUNCT
ap-2078	182	16	width	width	ADJ
ap-2078	182	17	bifurcation	bifurcation	NOUN
ap-2078	182	18	(	(	PUNCT
ap-2078	182	19	pt	pt	PROPN
ap-2078	182	20	symmetry	symmetry	NOUN
ap-2078	182	21	breaking	breaking	NOUN
ap-2078	182	22	)	)	PUNCT
ap-2078	182	23	occurs	occur	VERB
ap-2078	182	24	and	and	CCONJ
ap-2078	182	25	ept±	ept±	PRON
ap-2078	183	1	=	=	PUNCT
ap-2078	183	2	e±	e±	PROPN
ap-2078	183	3	i	i	X
ap-2078	183	4	2	2	NUM
ap-2078	183	5	√	√	NOUN
ap-2078	183	6	γ2	γ2	NOUN
ap-2078	183	7	−	−	PROPN
ap-2078	183	8	4|w|2	4|w|2	NOUN
ap-2078	183	9	.	.	PUNCT
ap-2078	184	1	these	these	DET
ap-2078	184	2	relations	relation	NOUN
ap-2078	184	3	are	be	AUX
ap-2078	184	4	in	in	ADP
ap-2078	184	5	accordance	accordance	NOUN
ap-2078	184	6	with	with	ADP
ap-2078	184	7	(	(	PUNCT
ap-2078	184	8	8)	8)	NUM
ap-2078	184	9	to	to	PART
ap-2078	184	10	(	(	PUNCT
ap-2078	184	11	10	10	NUM
ap-2078	184	12	)	)	PUNCT
ap-2078	184	13	for	for	ADP
ap-2078	184	14	open	open	ADJ
ap-2078	184	15	quantum	quantum	NOUN
ap-2078	184	16	systems	system	NOUN
ap-2078	184	17	.	.	PUNCT
ap-2078	185	1	two	two	NUM
ap-2078	185	2	eps	eps	PROPN
ap-2078	185	3	exist	exist	VERB
ap-2078	185	4	according	accord	VERB
ap-2078	185	5	to	to	ADP
ap-2078	185	6	4|w|2	4|w|2	PRON
ap-2078	185	7	=	=	SYM
ap-2078	185	8	(	(	PUNCT
ap-2078	185	9	±γ)2	±γ)2	PROPN
ap-2078	185	10	.	.	PUNCT
ap-2078	186	1	(	(	PUNCT
ap-2078	186	2	25	25	NUM
ap-2078	186	3	)	)	PUNCT
ap-2078	186	4	further	far	ADV
ap-2078	186	5	γ2	γ2	NOUN
ap-2078	186	6	<	<	X
ap-2078	186	7	4|w|2	4|w|2	X
ap-2078	186	8	→	→	SYM
ap-2078	186	9	zpt	zpt	X
ap-2078	186	10	∈	∈	NOUN
ap-2078	186	11	<	<	X
ap-2078	186	12	,	,	PUNCT
ap-2078	186	13	(	(	PUNCT
ap-2078	186	14	26	26	NUM
ap-2078	186	15	)	)	PUNCT
ap-2078	186	16	γ2	γ2	NOUN
ap-2078	186	17	>	>	X
ap-2078	186	18	4|w|2	4|w|2	X
ap-2078	186	19	→	→	SYM
ap-2078	186	20	zpt	zpt	NOUN
ap-2078	186	21	∈	∈	NOUN
ap-2078	186	22	=	=	SYM
ap-2078	186	23	(	(	PUNCT
ap-2078	186	24	27	27	NUM
ap-2078	186	25	)	)	PUNCT
ap-2078	186	26	independent	independent	NOUN
ap-2078	186	27	of	of	ADP
ap-2078	186	28	the	the	DET
ap-2078	186	29	parameter	parameter	NOUN
ap-2078	186	30	dependence	dependence	PROPN
ap-2078	186	31	γ(a	γ(a	PROPN
ap-2078	186	32	)	)	PUNCT
ap-2078	186	33	and	and	CCONJ
ap-2078	186	34	of	of	ADP
ap-2078	186	35	the	the	DET
ap-2078	186	36	ratio	ratio	NOUN
ap-2078	186	37	re(w)/	re(w)/	PROPN
ap-2078	186	38	im(w	im(w	NUM
ap-2078	186	39	)	)	PUNCT
ap-2078	186	40	.	.	PUNCT
ap-2078	187	1	in	in	ADP
ap-2078	187	2	the	the	DET
ap-2078	187	3	case	case	NOUN
ap-2078	187	4	of	of	ADP
ap-2078	187	5	the	the	DET
ap-2078	187	6	hamiltonian	hamiltonian	NOUN
ap-2078	187	7	(	(	PUNCT
ap-2078	187	8	23	23	NUM
ap-2078	187	9	)	)	PUNCT
ap-2078	187	10	,	,	PUNCT
ap-2078	187	11	the	the	DET
ap-2078	187	12	eigenvalues	eigenvalues	PROPN
ap-2078	187	13	read	read	VERB
ap-2078	187	14	e	e	PROPN
ap-2078	187	15	′pt	′pt	PROPN
ap-2078	187	16	±	±	NUM
ap-2078	187	17	=	=	SYM
ap-2078	187	18	e−iγ4±	e−iγ4±	NOUN
ap-2078	187	19	1	1	NUM
ap-2078	187	20	2	2	NUM
ap-2078	187	21	√	√	NUM
ap-2078	187	22	4|w|2	4|w|2	NUM
ap-2078	187	23	−	−	PUNCT
ap-2078	187	24	γ2	γ2	ADJ
ap-2078	187	25	4	4	NUM
ap-2078	187	26	≡	≡	PROPN
ap-2078	187	27	e−i	e−i	VERB
ap-2078	187	28	γ	γ	X
ap-2078	187	29	4±z	4±z	PROPN
ap-2078	187	30	′	′	NUM
ap-2078	187	31	pt	pt	NOUN
ap-2078	187	32	.	.	PUNCT
ap-2078	188	1	(	(	PUNCT
ap-2078	188	2	28	28	NUM
ap-2078	188	3	)	)	PUNCT
ap-2078	188	4	we	we	PRON
ap-2078	188	5	have	have	VERB
ap-2078	188	6	level	level	NOUN
ap-2078	188	7	repulsion	repulsion	NOUN
ap-2078	188	8	as	as	ADV
ap-2078	188	9	long	long	ADV
ap-2078	188	10	as	as	ADP
ap-2078	188	11	4|w|2	4|w|2	NOUN
ap-2078	188	12	>	>	X
ap-2078	188	13	γ2	γ2	PROPN
ap-2078	188	14	4	4	NUM
ap-2078	188	15	.	.	PUNCT
ap-2078	189	1	while	while	SCONJ
ap-2078	189	2	level	level	NOUN
ap-2078	189	3	repulsion	repulsion	NOUN
ap-2078	189	4	decreases	decrease	VERB
ap-2078	189	5	with	with	ADP
ap-2078	189	6	increasing	increase	VERB
ap-2078	189	7	γ	γ	NOUN
ap-2078	189	8	,	,	PUNCT
ap-2078	189	9	loss	loss	NOUN
ap-2078	189	10	increases	increase	NOUN
ap-2078	189	11	with	with	ADP
ap-2078	189	12	increasing	increase	VERB
ap-2078	189	13	γ	γ	X
ap-2078	189	14	.	.	PROPN
ap-2078	190	1	at	at	ADP
ap-2078	190	2	the	the	DET
ap-2078	190	3	crossing	crossing	NOUN
ap-2078	190	4	point	point	NOUN
ap-2078	190	5	,	,	PUNCT
ap-2078	190	6	e	e	PROPN
ap-2078	190	7	′pt	′pt	PROPN
ap-2078	190	8	±	±	NUM
ap-2078	190	9	=	=	SYM
ap-2078	191	1	e	e	X
ap-2078	191	2	−	−	NOUN
ap-2078	191	3	iγ4	iγ4	INTJ
ap-2078	191	4	.	.	PUNCT
ap-2078	192	1	with	with	ADP
ap-2078	192	2	further	far	ADV
ap-2078	192	3	increasing	increase	VERB
ap-2078	192	4	γ	γ	NOUN
ap-2078	192	5	and	and	CCONJ
ap-2078	192	6	4|w|2	4|w|2	DET
ap-2078	192	7	�	�	PROPN
ap-2078	192	8	γ2	γ2	PROPN
ap-2078	192	9	4	4	NUM
ap-2078	192	10	e	e	NOUN
ap-2078	192	11	′pt	′pt	PROPN
ap-2078	192	12	±	±	NUM
ap-2078	192	13	→	→	SYM
ap-2078	192	14	e−	e−	PROPN
ap-2078	192	15	iγ4	iγ4	X
ap-2078	192	16	±	±	NUM
ap-2078	192	17	i	i	PRON
ap-2078	192	18	γ	γ	VERB
ap-2078	192	19	4	4	NUM
ap-2078	192	20	=	=	SYM
ap-2078	192	21	{	{	PUNCT
ap-2078	192	22	e	e	X
ap-2078	192	23	e−	e−	X
ap-2078	192	24	iγ2	iγ2	NOUN
ap-2078	192	25	.	.	PUNCT
ap-2078	193	1	(	(	PUNCT
ap-2078	193	2	29	29	NUM
ap-2078	193	3	)	)	PUNCT
ap-2078	193	4	the	the	DET
ap-2078	193	5	two	two	NUM
ap-2078	193	6	modes	mode	NOUN
ap-2078	193	7	(	(	PUNCT
ap-2078	193	8	29	29	NUM
ap-2078	193	9	)	)	PUNCT
ap-2078	193	10	behave	behave	VERB
ap-2078	193	11	differently	differently	ADV
ap-2078	193	12	.	.	PUNCT
ap-2078	194	1	while	while	SCONJ
ap-2078	194	2	the	the	DET
ap-2078	194	3	loss	loss	NOUN
ap-2078	194	4	in	in	ADP
ap-2078	194	5	one	one	NUM
ap-2078	194	6	of	of	ADP
ap-2078	194	7	them	they	PRON
ap-2078	194	8	is	be	AUX
ap-2078	194	9	large	large	ADJ
ap-2078	194	10	,	,	PUNCT
ap-2078	194	11	it	it	PRON
ap-2078	194	12	is	be	AUX
ap-2078	194	13	almost	almost	ADV
ap-2078	194	14	zero	zero	NUM
ap-2078	194	15	in	in	ADP
ap-2078	194	16	the	the	DET
ap-2078	194	17	other	other	ADJ
ap-2078	194	18	one	one	NUM
ap-2078	194	19	.	.	PUNCT
ap-2078	195	1	thus	thus	ADV
ap-2078	195	2	,	,	PUNCT
ap-2078	195	3	only	only	ADV
ap-2078	195	4	one	one	NUM
ap-2078	195	5	of	of	ADP
ap-2078	195	6	the	the	DET
ap-2078	195	7	modes	mode	NOUN
ap-2078	195	8	effectively	effectively	ADV
ap-2078	195	9	survives	survive	VERB
ap-2078	195	10	.	.	PUNCT
ap-2078	196	1	equation	equation	NOUN
ap-2078	196	2	(	(	PUNCT
ap-2078	196	3	29	29	NUM
ap-2078	196	4	)	)	PUNCT
ap-2078	196	5	corresponds	correspond	VERB
ap-2078	196	6	to	to	ADP
ap-2078	196	7	high	high	ADJ
ap-2078	196	8	transparency	transparency	NOUN
ap-2078	196	9	at	at	ADP
ap-2078	196	10	large	large	ADJ
ap-2078	196	11	γ	γ	NOUN
ap-2078	196	12	.	.	PROPN
ap-2078	196	13	further	far	ADV
ap-2078	196	14	,	,	PUNCT
ap-2078	196	15	two	two	NUM
ap-2078	196	16	eps	ep	NOUN
ap-2078	196	17	exist	exist	VERB
ap-2078	196	18	according	accord	VERB
ap-2078	196	19	to	to	ADP
ap-2078	196	20	4|w|2	4|w|2	PRON
ap-2078	196	21	=	=	PUNCT
ap-2078	196	22	(	(	PUNCT
ap-2078	196	23	±γ/2)2	±γ/2)2	NOUN
ap-2078	196	24	(	(	PUNCT
ap-2078	196	25	30	30	NUM
ap-2078	196	26	)	)	PUNCT
ap-2078	196	27	and	and	CCONJ
ap-2078	196	28	γ2/4	γ2/4	NUM
ap-2078	196	29	<	<	X
ap-2078	196	30	4|w|2	4|w|2	X
ap-2078	196	31	→	→	SYM
ap-2078	196	32	z	z	NOUN
ap-2078	196	33	′	′	NOUN
ap-2078	197	1	pt	pt	INTJ
ap-2078	197	2	∈	∈	PROPN
ap-2078	197	3	<	<	X
ap-2078	197	4	,	,	PUNCT
ap-2078	197	5	(	(	PUNCT
ap-2078	197	6	31	31	NUM
ap-2078	197	7	)	)	PUNCT
ap-2078	197	8	γ2/4	γ2/4	NOUN
ap-2078	197	9	>	>	X
ap-2078	197	10	4|w|2	4|w|2	X
ap-2078	197	11	→	→	SYM
ap-2078	197	12	z	z	NOUN
ap-2078	197	13	′	′	NUM
ap-2078	197	14	pt	pt	NOUN
ap-2078	197	15	∈	∈	PROPN
ap-2078	197	16	=	=	PRON
ap-2078	197	17	.	.	PUNCT
ap-2078	197	18	(	(	PUNCT
ap-2078	197	19	32	32	NUM
ap-2078	197	20	)	)	PUNCT
ap-2078	197	21	by	by	ADP
ap-2078	197	22	analogy	analogy	NOUN
ap-2078	197	23	with	with	ADP
ap-2078	197	24	to	to	ADP
ap-2078	197	25	(	(	PUNCT
ap-2078	197	26	25	25	NUM
ap-2078	197	27	)	)	PUNCT
ap-2078	197	28	up	up	ADP
ap-2078	197	29	to	to	ADP
ap-2078	197	30	(	(	PUNCT
ap-2078	197	31	27	27	NUM
ap-2078	197	32	)	)	PUNCT
ap-2078	197	33	,	,	PUNCT
ap-2078	197	34	these	these	DET
ap-2078	197	35	relations	relation	NOUN
ap-2078	197	36	are	be	AUX
ap-2078	197	37	independent	independent	ADJ
ap-2078	197	38	of	of	ADP
ap-2078	197	39	the	the	DET
ap-2078	197	40	parameter	parameter	NOUN
ap-2078	197	41	dependence	dependence	NOUN
ap-2078	197	42	of	of	ADP
ap-2078	197	43	γ	γ	PROPN
ap-2078	197	44	and	and	CCONJ
ap-2078	197	45	of	of	ADP
ap-2078	197	46	the	the	DET
ap-2078	197	47	ratio	ratio	NOUN
ap-2078	197	48	re(w)/	re(w)/	PROPN
ap-2078	197	49	im(w	im(w	NUM
ap-2078	197	50	)	)	PUNCT
ap-2078	197	51	.	.	PUNCT
ap-2078	198	1	thus	thus	ADV
ap-2078	198	2	,	,	PUNCT
ap-2078	198	3	the	the	DET
ap-2078	198	4	difference	difference	NOUN
ap-2078	198	5	between	between	ADP
ap-2078	198	6	the	the	DET
ap-2078	198	7	eigenvalues	eigenvalues	PROPN
ap-2078	198	8	ei	ei	NOUN
ap-2078	198	9	of	of	ADP
ap-2078	198	10	h(2	h(2	NOUN
ap-2078	198	11	)	)	PUNCT
ap-2078	198	12	of	of	ADP
ap-2078	198	13	an	an	DET
ap-2078	198	14	open	open	ADJ
ap-2078	198	15	quantum	quantum	NOUN
ap-2078	198	16	system	system	NOUN
ap-2078	198	17	and	and	CCONJ
ap-2078	198	18	the	the	DET
ap-2078	198	19	eigenvalues	eigenvalue	NOUN
ap-2078	198	20	of	of	ADP
ap-2078	198	21	the	the	DET
ap-2078	198	22	hamiltonian	hamiltonian	NOUN
ap-2078	198	23	of	of	ADP
ap-2078	198	24	a	a	DET
ap-2078	198	25	pt	pt	NOUN
ap-2078	198	26	symmetric	symmetric	ADJ
ap-2078	198	27	system	system	NOUN
ap-2078	198	28	consists	consist	VERB
ap-2078	198	29	,	,	PUNCT
ap-2078	198	30	above	above	ADP
ap-2078	198	31	all	all	PRON
ap-2078	198	32	,	,	PUNCT
ap-2078	198	33	in	in	ADP
ap-2078	198	34	the	the	DET
ap-2078	198	35	fact	fact	NOUN
ap-2078	198	36	that	that	SCONJ
ap-2078	198	37	the	the	DET
ap-2078	198	38	ei	ei	NOUN
ap-2078	198	39	depend	depend	VERB
ap-2078	198	40	on	on	ADP
ap-2078	198	41	the	the	DET
ap-2078	198	42	ratio	ratio	NOUN
ap-2078	198	43	re(ω)/	re(ω)/	PROPN
ap-2078	198	44	im(ω	im(ω	VERB
ap-2078	198	45	)	)	PUNCT
ap-2078	198	46	while	while	SCONJ
ap-2078	198	47	the	the	DET
ap-2078	198	48	ept±	ept±	PROPN
ap-2078	198	49	and	and	CCONJ
ap-2078	198	50	e	e	PROPN
ap-2078	198	51	′pt	′pt	PROPN
ap-2078	198	52	±	±	NUM
ap-2078	198	53	are	be	AUX
ap-2078	198	54	independent	independent	ADJ
ap-2078	198	55	of	of	ADP
ap-2078	198	56	re(w)/	re(w)/	PROPN
ap-2078	198	57	im(w	im(w	NUM
ap-2078	198	58	)	)	PUNCT
ap-2078	198	59	.	.	PUNCT
ap-2078	199	1	there	there	PRON
ap-2078	199	2	exist	exist	VERB
ap-2078	199	3	however	however	ADV
ap-2078	199	4	similarities	similarity	NOUN
ap-2078	199	5	between	between	ADP
ap-2078	199	6	the	the	DET
ap-2078	199	7	two	two	NUM
ap-2078	199	8	cases	case	NOUN
ap-2078	199	9	.	.	PUNCT
ap-2078	200	1	it	it	PRON
ap-2078	200	2	is	be	AUX
ap-2078	200	3	interesting	interesting	ADJ
ap-2078	200	4	to	to	PART
ap-2078	200	5	compare	compare	VERB
ap-2078	200	6	the	the	DET
ap-2078	200	7	eigenvalues	eigenvalue	NOUN
ap-2078	200	8	ei	ei	ADP
ap-2078	200	9	ofh(2	ofh(2	NOUN
ap-2078	200	10	)	)	PUNCT
ap-2078	200	11	obtained	obtain	VERB
ap-2078	200	12	for	for	ADP
ap-2078	200	13	imaginary	imaginary	ADJ
ap-2078	200	14	non	non	ADJ
ap-2078	200	15	-	-	ADJ
ap-2078	200	16	diagonal	diagonal	ADJ
ap-2078	200	17	matrix	matrix	NOUN
ap-2078	200	18	elements	element	NOUN
ap-2078	200	19	ω	ω	NOUN
ap-2078	200	20	,	,	PUNCT
ap-2078	200	21	with	with	SCONJ
ap-2078	200	22	the	the	DET
ap-2078	200	23	eigenvalues	eigenvalue	NOUN
ap-2078	200	24	of	of	ADP
ap-2078	200	25	(	(	PUNCT
ap-2078	200	26	22	22	NUM
ap-2078	200	27	)	)	PUNCT
ap-2078	200	28	(	(	PUNCT
ap-2078	200	29	or	or	CCONJ
ap-2078	200	30	(	(	PUNCT
ap-2078	200	31	23	23	NUM
ap-2078	200	32	)	)	PUNCT
ap-2078	200	33	)	)	PUNCT
ap-2078	200	34	obtained	obtain	VERB
ap-2078	200	35	for	for	ADP
ap-2078	200	36	real	real	ADJ
ap-2078	200	37	w.	w.	NOUN
ap-2078	200	38	in	in	ADP
ap-2078	200	39	both	both	DET
ap-2078	200	40	cases	case	NOUN
ap-2078	200	41	,	,	PUNCT
ap-2078	200	42	there	there	PRON
ap-2078	200	43	are	be	VERB
ap-2078	200	44	two	two	NUM
ap-2078	200	45	eps	ep	NOUN
ap-2078	200	46	,	,	PUNCT
ap-2078	200	47	see	see	VERB
ap-2078	200	48	fig	fig	NOUN
ap-2078	200	49	.	.	PUNCT
ap-2078	201	1	1	1	X
ap-2078	201	2	.	.	X
ap-2078	201	3	in	in	ADP
ap-2078	201	4	the	the	DET
ap-2078	201	5	first	first	ADJ
ap-2078	201	6	case	case	NOUN
ap-2078	201	7	(	(	PUNCT
ap-2078	201	8	right	right	ADJ
ap-2078	201	9	panel	panel	NOUN
ap-2078	201	10	)	)	PUNCT
ap-2078	201	11	,	,	PUNCT
ap-2078	201	12	the	the	DET
ap-2078	201	13	energies	energy	NOUN
ap-2078	201	14	ei	ei	X
ap-2078	201	15	of	of	ADP
ap-2078	201	16	both	both	DET
ap-2078	201	17	states	state	NOUN
ap-2078	201	18	are	be	AUX
ap-2078	201	19	equal	equal	ADJ
ap-2078	201	20	and	and	CCONJ
ap-2078	201	21	the	the	DET
ap-2078	201	22	widths	width	NOUN
ap-2078	201	23	γi	γi	X
ap-2078	201	24	bifurcate	bifurcate	NOUN
ap-2078	201	25	between	between	ADP
ap-2078	201	26	the	the	DET
ap-2078	201	27	two	two	NUM
ap-2078	201	28	eps	ep	NOUN
ap-2078	201	29	.	.	PUNCT
ap-2078	202	1	this	this	DET
ap-2078	202	2	situation	situation	NOUN
ap-2078	202	3	is	be	AUX
ap-2078	202	4	characteristic	characteristic	ADJ
ap-2078	202	5	of	of	ADP
ap-2078	202	6	an	an	DET
ap-2078	202	7	open	open	ADJ
ap-2078	202	8	quantum	quantum	NOUN
ap-2078	202	9	system	system	NOUN
ap-2078	202	10	at	at	ADP
ap-2078	202	11	high	high	ADJ
ap-2078	202	12	level	level	NOUN
ap-2078	202	13	density	density	NOUN
ap-2078	202	14	with	with	ADP
ap-2078	202	15	complex	complex	ADJ
ap-2078	202	16	(	(	PUNCT
ap-2078	202	17	almost	almost	ADV
ap-2078	202	18	imaginary	imaginary	ADJ
ap-2078	202	19	)	)	PUNCT
ap-2078	202	20	ω	ω	PROPN
ap-2078	202	21	,	,	PUNCT
ap-2078	202	22	see	see	VERB
ap-2078	202	23	eqs	eqs	PROPN
ap-2078	202	24	.	.	PUNCT
ap-2078	203	1	(	(	PUNCT
ap-2078	203	2	8)	8)	NUM
ap-2078	203	3	to	to	PART
ap-2078	203	4	(	(	PUNCT
ap-2078	203	5	10	10	NUM
ap-2078	203	6	)	)	PUNCT
ap-2078	203	7	.	.	PUNCT
ap-2078	204	1	in	in	ADP
ap-2078	204	2	the	the	DET
ap-2078	204	3	second	second	ADJ
ap-2078	204	4	case	case	NOUN
ap-2078	204	5	(	(	PUNCT
ap-2078	204	6	left	leave	VERB
ap-2078	204	7	panel	panel	NOUN
ap-2078	204	8	)	)	PUNCT
ap-2078	204	9	however	however	ADV
ap-2078	204	10	the	the	DET
ap-2078	204	11	difference	difference	NOUN
ap-2078	204	12	|e1	|e1	NOUN
ap-2078	204	13	−	−	PROPN
ap-2078	204	14	e2|	e2|	PROPN
ap-2078	204	15	of	of	ADP
ap-2078	204	16	the	the	DET
ap-2078	204	17	energies	energy	NOUN
ap-2078	204	18	first	first	ADV
ap-2078	204	19	increases	increase	NOUN
ap-2078	204	20	(	(	PUNCT
ap-2078	204	21	level	level	NOUN
ap-2078	204	22	repulsion	repulsion	NOUN
ap-2078	204	23	)	)	PUNCT
ap-2078	204	24	and	and	CCONJ
ap-2078	204	25	then	then	ADV
ap-2078	204	26	decreases	decrease	VERB
ap-2078	204	27	again	again	ADV
ap-2078	204	28	while	while	SCONJ
ap-2078	204	29	the	the	DET
ap-2078	204	30	widths	width	NOUN
ap-2078	204	31	γi	γi	INTJ
ap-2078	204	32	of	of	ADP
ap-2078	204	33	both	both	DET
ap-2078	204	34	states	state	NOUN
ap-2078	204	35	vanish	vanish	VERB
ap-2078	204	36	in	in	ADP
ap-2078	204	37	the	the	DET
ap-2078	204	38	parameter	parameter	NOUN
ap-2078	204	39	range	range	NOUN
ap-2078	204	40	between	between	ADP
ap-2078	204	41	the	the	DET
ap-2078	204	42	two	two	NUM
ap-2078	204	43	eps	ep	NOUN
ap-2078	204	44	in	in	ADP
ap-2078	204	45	accordance	accordance	NOUN
ap-2078	204	46	with	with	ADP
ap-2078	204	47	the	the	DET
ap-2078	204	48	analytical	analytical	ADJ
ap-2078	204	49	results	result	NOUN
ap-2078	204	50	(	(	PUNCT
ap-2078	204	51	25	25	NUM
ap-2078	204	52	)	)	PUNCT
ap-2078	204	53	to	to	ADP
ap-2078	204	54	(	(	PUNCT
ap-2078	204	55	27	27	NUM
ap-2078	204	56	)	)	PUNCT
ap-2078	204	57	.	.	PUNCT
ap-2078	205	1	between	between	ADP
ap-2078	205	2	the	the	DET
ap-2078	205	3	two	two	NUM
ap-2078	205	4	eps	eps	PROPN
ap-2078	205	5	,	,	PUNCT
ap-2078	205	6	level	level	NOUN
ap-2078	205	7	repulsion	repulsion	NOUN
ap-2078	205	8	causes	cause	VERB
ap-2078	205	9	the	the	DET
ap-2078	205	10	two	two	NUM
ap-2078	205	11	levels	level	NOUN
ap-2078	205	12	to	to	PART
ap-2078	205	13	be	be	AUX
ap-2078	205	14	distant	distant	ADJ
ap-2078	205	15	from	from	ADP
ap-2078	205	16	one	one	NUM
ap-2078	205	17	another	another	DET
ap-2078	205	18	and	and	CCONJ
ap-2078	205	19	w	w	PROPN
ap-2078	205	20	is	be	AUX
ap-2078	205	21	expected	expect	VERB
ap-2078	205	22	to	to	PART
ap-2078	205	23	be	be	AUX
ap-2078	205	24	(	(	PUNCT
ap-2078	205	25	almost	almost	ADV
ap-2078	205	26	)	)	PUNCT
ap-2078	205	27	real	real	ADJ
ap-2078	205	28	.	.	PUNCT
ap-2078	206	1	this	this	DET
ap-2078	206	2	result	result	NOUN
ap-2078	206	3	agrees	agree	VERB
ap-2078	206	4	qualitatively	qualitatively	ADV
ap-2078	206	5	with	with	ADP
ap-2078	206	6	(	(	PUNCT
ap-2078	206	7	2	2	NUM
ap-2078	206	8	)	)	PUNCT
ap-2078	206	9	and	and	CCONJ
ap-2078	206	10	(	(	PUNCT
ap-2078	206	11	3	3	NUM
ap-2078	206	12	)	)	PUNCT
ap-2078	206	13	.	.	PUNCT
ap-2078	207	1	similar	similar	ADJ
ap-2078	207	2	results	result	NOUN
ap-2078	207	3	are	be	AUX
ap-2078	207	4	obtained	obtain	VERB
ap-2078	207	5	for	for	ADP
ap-2078	207	6	the	the	DET
ap-2078	207	7	eigenvalues	eigenvalue	NOUN
ap-2078	207	8	of	of	ADP
ap-2078	207	9	(	(	PUNCT
ap-2078	207	10	23	23	NUM
ap-2078	207	11	)	)	PUNCT
ap-2078	207	12	.	.	PUNCT
ap-2078	208	1	the	the	DET
ap-2078	208	2	only	only	ADJ
ap-2078	208	3	difference	difference	NOUN
ap-2078	208	4	from	from	ADP
ap-2078	208	5	those	those	PRON
ap-2078	208	6	of	of	ADP
ap-2078	208	7	(	(	PUNCT
ap-2078	208	8	22	22	NUM
ap-2078	208	9	)	)	PUNCT
ap-2078	208	10	is	be	AUX
ap-2078	208	11	that	that	SCONJ
ap-2078	208	12	the	the	DET
ap-2078	208	13	γi	γi	NOUN
ap-2078	208	14	do	do	AUX
ap-2078	208	15	not	not	PART
ap-2078	208	16	vanish	vanish	VERB
ap-2078	208	17	but	but	CCONJ
ap-2078	208	18	decrease	decrease	NOUN
ap-2078	208	19	between	between	ADP
ap-2078	208	20	the	the	DET
ap-2078	208	21	two	two	NUM
ap-2078	208	22	eps	ep	NOUN
ap-2078	208	23	with	with	ADP
ap-2078	208	24	increasing	increase	VERB
ap-2078	208	25	a	a	PRON
ap-2078	208	26	in	in	ADP
ap-2078	208	27	this	this	DET
ap-2078	208	28	case	case	NOUN
ap-2078	208	29	.	.	PUNCT
ap-2078	209	1	according	accord	VERB
ap-2078	209	2	to	to	ADP
ap-2078	209	3	figs	fig	NOUN
ap-2078	209	4	.	.	PUNCT
ap-2078	210	1	1a	1a	X
ap-2078	210	2	–	–	PUNCT
ap-2078	210	3	d	d	X
ap-2078	210	4	,	,	PUNCT
ap-2078	210	5	the	the	DET
ap-2078	210	6	role	role	NOUN
ap-2078	210	7	of	of	ADP
ap-2078	210	8	energy	energy	NOUN
ap-2078	210	9	and	and	CCONJ
ap-2078	210	10	width	width	NOUN
ap-2078	210	11	is	be	AUX
ap-2078	210	12	formally	formally	ADV
ap-2078	210	13	exchanged	exchange	VERB
ap-2078	210	14	when	when	SCONJ
ap-2078	210	15	the	the	DET
ap-2078	210	16	eigenvalues	eigenvalue	NOUN
ap-2078	210	17	of	of	ADP
ap-2078	210	18	the	the	DET
ap-2078	210	19	hamiltonian	hamiltonian	NOUN
ap-2078	210	20	(	(	PUNCT
ap-2078	210	21	4	4	X
ap-2078	210	22	)	)	PUNCT
ap-2078	210	23	are	be	AUX
ap-2078	210	24	compared	compare	VERB
ap-2078	210	25	with	with	ADP
ap-2078	210	26	those	those	PRON
ap-2078	210	27	of	of	ADP
ap-2078	210	28	(	(	PUNCT
ap-2078	210	29	22	22	NUM
ap-2078	210	30	)	)	PUNCT
ap-2078	210	31	(	(	PUNCT
ap-2078	210	32	or	or	CCONJ
ap-2078	210	33	(	(	PUNCT
ap-2078	210	34	23	23	NUM
ap-2078	210	35	)	)	PUNCT
ap-2078	210	36	)	)	PUNCT
ap-2078	210	37	.	.	PUNCT
ap-2078	211	1	in	in	ADP
ap-2078	211	2	any	any	DET
ap-2078	211	3	case	case	NOUN
ap-2078	211	4	,	,	PUNCT
ap-2078	211	5	the	the	DET
ap-2078	211	6	eigenvalues	eigenvalue	NOUN
ap-2078	211	7	are	be	AUX
ap-2078	211	8	influenced	influence	VERB
ap-2078	211	9	strongly	strongly	ADV
ap-2078	211	10	by	by	ADP
ap-2078	211	11	the	the	DET
ap-2078	211	12	eps	eps	PROPN
ap-2078	211	13	.	.	PROPN
ap-2078	211	14	also	also	ADV
ap-2078	211	15	the	the	DET
ap-2078	211	16	eigenfunctions	eigenfunction	NOUN
ap-2078	211	17	of	of	ADP
ap-2078	211	18	the	the	DET
ap-2078	211	19	hamiltonian	hamiltonian	NOUN
ap-2078	211	20	(	(	PUNCT
ap-2078	211	21	4	4	NUM
ap-2078	211	22	)	)	PUNCT
ap-2078	211	23	of	of	ADP
ap-2078	211	24	an	an	DET
ap-2078	211	25	open	open	ADJ
ap-2078	211	26	quantum	quantum	NOUN
ap-2078	211	27	system	system	NOUN
ap-2078	211	28	(	(	PUNCT
ap-2078	211	29	with	with	ADP
ap-2078	211	30	imaginary	imaginary	ADJ
ap-2078	211	31	ω	ω	NOUN
ap-2078	211	32	)	)	PUNCT
ap-2078	211	33	and	and	CCONJ
ap-2078	211	34	those	those	PRON
ap-2078	211	35	of	of	ADP
ap-2078	211	36	the	the	DET
ap-2078	211	37	hamiltonians	hamiltonian	NOUN
ap-2078	211	38	(	(	PUNCT
ap-2078	211	39	22	22	NUM
ap-2078	211	40	)	)	PUNCT
ap-2078	211	41	and	and	CCONJ
ap-2078	211	42	(	(	PUNCT
ap-2078	211	43	23	23	NUM
ap-2078	211	44	)	)	PUNCT
ap-2078	211	45	of	of	ADP
ap-2078	211	46	a	a	DET
ap-2078	211	47	pt	pt	X
ap-2078	211	48	symmetric	symmetric	ADJ
ap-2078	211	49	system	system	NOUN
ap-2078	211	50	(	(	PUNCT
ap-2078	211	51	with	with	ADP
ap-2078	211	52	real	real	ADJ
ap-2078	211	53	w	w	NOUN
ap-2078	211	54	)	)	PUNCT
ap-2078	211	55	show	show	VERB
ap-2078	211	56	similar	similar	ADJ
ap-2078	211	57	features	feature	NOUN
ap-2078	211	58	.	.	PUNCT
ap-2078	212	1	the	the	DET
ap-2078	212	2	eigenfunctions	eigenfunction	NOUN
ap-2078	212	3	φpt	φpt	X
ap-2078	212	4	i	i	PRON
ap-2078	212	5	of	of	ADP
ap-2078	212	6	hpt	hpt	PROPN
ap-2078	212	7	(	(	PUNCT
ap-2078	212	8	and	and	CCONJ
ap-2078	212	9	φ′pt	φ′pt	NOUN
ap-2078	212	10	i	i	PRON
ap-2078	212	11	of	of	ADP
ap-2078	212	12	h′pt	h′pt	NOUN
ap-2078	212	13	)	)	PUNCT
ap-2078	212	14	are	be	AUX
ap-2078	212	15	biorthogonal	biorthogonal	ADJ
ap-2078	212	16	with	with	ADP
ap-2078	212	17	all	all	DET
ap-2078	212	18	the	the	DET
ap-2078	212	19	consequences	consequence	NOUN
ap-2078	212	20	discussed	discuss	VERB
ap-2078	212	21	in	in	ADP
ap-2078	212	22	sect	sect	NOUN
ap-2078	212	23	.	.	PUNCT
ap-2078	213	1	2	2	X
ap-2078	213	2	.	.	X
ap-2078	213	3	in	in	ADP
ap-2078	213	4	contrast	contrast	NOUN
ap-2078	213	5	to	to	ADP
ap-2078	213	6	the	the	DET
ap-2078	213	7	eigenvalues	eigenvalue	NOUN
ap-2078	213	8	,	,	PUNCT
ap-2078	213	9	they	they	PRON
ap-2078	213	10	are	be	AUX
ap-2078	213	11	dependent	dependent	ADJ
ap-2078	213	12	on	on	ADP
ap-2078	213	13	the	the	DET
ap-2078	213	14	ratio	ratio	NOUN
ap-2078	213	15	re(ω)/	re(ω)/	PROPN
ap-2078	213	16	im(ω	im(ω	NOUN
ap-2078	213	17	)	)	PUNCT
ap-2078	213	18	.	.	PUNCT
ap-2078	214	1	the	the	DET
ap-2078	214	2	eigenfunctions	eigenfunction	NOUN
ap-2078	214	3	can	can	AUX
ap-2078	214	4	be	be	AUX
ap-2078	214	5	represented	represent	VERB
ap-2078	214	6	in	in	ADP
ap-2078	214	7	a	a	DET
ap-2078	214	8	set	set	NOUN
ap-2078	214	9	of	of	ADP
ap-2078	214	10	basic	basic	ADJ
ap-2078	214	11	wavefunctions	wavefunction	NOUN
ap-2078	214	12	in	in	ADP
ap-2078	214	13	full	full	ADJ
ap-2078	214	14	analogy	analogy	NOUN
ap-2078	214	15	to	to	ADP
ap-2078	214	16	the	the	DET
ap-2078	214	17	representation	representation	NOUN
ap-2078	214	18	of	of	ADP
ap-2078	214	19	the	the	DET
ap-2078	214	20	eigenfunctions	eigenfunction	NOUN
ap-2078	214	21	φi	φi	ADP
ap-2078	214	22	of	of	ADP
ap-2078	214	23	h(2	h(2	NOUN
ap-2078	214	24	)	)	PUNCT
ap-2078	214	25	in	in	ADP
ap-2078	214	26	(	(	PUNCT
ap-2078	214	27	20	20	NUM
ap-2078	214	28	)	)	PUNCT
ap-2078	214	29	.	.	PUNCT
ap-2078	215	1	they	they	PRON
ap-2078	215	2	contain	contain	VERB
ap-2078	215	3	valuable	valuable	ADJ
ap-2078	215	4	information	information	NOUN
ap-2078	215	5	on	on	ADP
ap-2078	215	6	the	the	DET
ap-2078	215	7	mixing	mixing	NOUN
ap-2078	215	8	of	of	ADP
ap-2078	215	9	the	the	DET
ap-2078	215	10	wavefunctions	wavefunction	NOUN
ap-2078	215	11	under	under	ADP
ap-2078	215	12	the	the	DET
ap-2078	215	13	influence	influence	NOUN
ap-2078	215	14	of	of	ADP
ap-2078	215	15	the	the	DET
ap-2078	215	16	non	non	ADJ
ap-2078	215	17	-	-	ADJ
ap-2078	215	18	diagonal	diagonal	ADJ
ap-2078	215	19	coupling	coupling	NOUN
ap-2078	215	20	matrix	matrix	NOUN
ap-2078	215	21	elements	element	NOUN
ap-2078	215	22	w	w	NOUN
ap-2078	215	23	and	and	CCONJ
ap-2078	215	24	w∗	w∗	NOUN
ap-2078	215	25	in	in	ADP
ap-2078	215	26	(	(	PUNCT
ap-2078	215	27	22	22	NUM
ap-2078	215	28	)	)	PUNCT
ap-2078	215	29	and	and	CCONJ
ap-2078	215	30	(	(	PUNCT
ap-2078	215	31	23	23	NUM
ap-2078	215	32	)	)	PUNCT
ap-2078	215	33	,	,	PUNCT
ap-2078	215	34	respectively	respectively	ADV
ap-2078	215	35	,	,	PUNCT
ap-2078	215	36	and	and	CCONJ
ap-2078	215	37	its	its	PRON
ap-2078	215	38	relation	relation	NOUN
ap-2078	215	39	to	to	ADP
ap-2078	215	40	eps	eps	PROPN
ap-2078	215	41	.	.	PROPN
ap-2078	216	1	due	due	ADP
ap-2078	216	2	to	to	ADP
ap-2078	216	3	the	the	DET
ap-2078	216	4	level	level	NOUN
ap-2078	216	5	repulsion	repulsion	NOUN
ap-2078	216	6	occurring	occur	VERB
ap-2078	216	7	between	between	ADP
ap-2078	216	8	the	the	DET
ap-2078	216	9	two	two	NUM
ap-2078	216	10	eps	ep	NOUN
ap-2078	216	11	,	,	PUNCT
ap-2078	216	12	the	the	DET
ap-2078	216	13	coupling	coupling	NOUN
ap-2078	216	14	coefficients	coefficient	VERB
ap-2078	216	15	w	w	NOUN
ap-2078	216	16	can	can	AUX
ap-2078	216	17	be	be	AUX
ap-2078	216	18	considered	consider	VERB
ap-2078	216	19	to	to	PART
ap-2078	216	20	be	be	AUX
ap-2078	216	21	(	(	PUNCT
ap-2078	216	22	almost	almost	ADV
ap-2078	216	23	)	)	PUNCT
ap-2078	216	24	real	real	ADJ
ap-2078	216	25	in	in	ADP
ap-2078	216	26	realistic	realistic	ADJ
ap-2078	216	27	cases	case	NOUN
ap-2078	216	28	.	.	PUNCT
ap-2078	217	1	the	the	DET
ap-2078	217	2	phases	phase	NOUN
ap-2078	217	3	of	of	ADP
ap-2078	217	4	the	the	DET
ap-2078	217	5	eigenmodes	eigenmode	NOUN
ap-2078	217	6	of	of	ADP
ap-2078	217	7	the	the	DET
ap-2078	217	8	non	non	ADJ
ap-2078	217	9	-	-	ADJ
ap-2078	217	10	hermitian	hermitian	ADJ
ap-2078	217	11	hamiltonians	hamiltonian	NOUN
ap-2078	217	12	(	(	PUNCT
ap-2078	217	13	22	22	NUM
ap-2078	217	14	)	)	PUNCT
ap-2078	217	15	and	and	CCONJ
ap-2078	217	16	(	(	PUNCT
ap-2078	217	17	23	23	NUM
ap-2078	217	18	)	)	PUNCT
ap-2078	217	19	are	be	AUX
ap-2078	217	20	not	not	PART
ap-2078	217	21	rigid	rigid	ADJ
ap-2078	217	22	,	,	PUNCT
ap-2078	217	23	generally	generally	ADV
ap-2078	217	24	,	,	PUNCT
ap-2078	217	25	in	in	ADP
ap-2078	217	26	approaching	approach	VERB
ap-2078	217	27	an	an	DET
ap-2078	217	28	ep	ep	NOUN
ap-2078	217	29	,	,	PUNCT
ap-2078	217	30	and	and	CCONJ
ap-2078	217	31	spectroscopic	spectroscopic	ADJ
ap-2078	217	32	redistribution	redistribution	NOUN
ap-2078	217	33	processes	process	NOUN
ap-2078	217	34	occur	occur	VERB
ap-2078	217	35	in	in	ADP
ap-2078	217	36	the	the	DET
ap-2078	217	37	system	system	NOUN
ap-2078	217	38	under	under	ADP
ap-2078	217	39	the	the	DET
ap-2078	217	40	influence	influence	NOUN
ap-2078	217	41	of	of	ADP
ap-2078	217	42	the	the	DET
ap-2078	217	43	environment	environment	NOUN
ap-2078	217	44	(	(	PUNCT
ap-2078	217	45	lattice	lattice	PROPN
ap-2078	217	46	)	)	PUNCT
ap-2078	217	47	.	.	PUNCT
ap-2078	218	1	as	as	ADP
ap-2078	218	2	in	in	ADP
ap-2078	218	3	the	the	DET
ap-2078	218	4	case	case	NOUN
ap-2078	218	5	of	of	ADP
ap-2078	218	6	open	open	ADJ
ap-2078	218	7	quantum	quantum	NOUN
ap-2078	218	8	systems	system	NOUN
ap-2078	218	9	,	,	PUNCT
ap-2078	218	10	the	the	DET
ap-2078	218	11	phase	phase	NOUN
ap-2078	218	12	rigidity	rigidity	NOUN
ap-2078	218	13	rk	rk	NOUN
ap-2078	218	14	can	can	AUX
ap-2078	218	15	be	be	AUX
ap-2078	218	16	defined	define	VERB
ap-2078	218	17	according	accord	VERB
ap-2078	218	18	to	to	ADP
ap-2078	218	19	(	(	PUNCT
ap-2078	218	20	21	21	NUM
ap-2078	218	21	)	)	PUNCT
ap-2078	218	22	.	.	PUNCT
ap-2078	219	1	it	it	PRON
ap-2078	219	2	varies	vary	VERB
ap-2078	219	3	between	between	ADP
ap-2078	219	4	1	1	NUM
ap-2078	219	5	and	and	CCONJ
ap-2078	219	6	0	0	NUM
ap-2078	219	7	and	and	CCONJ
ap-2078	219	8	is	be	AUX
ap-2078	219	9	a	a	DET
ap-2078	219	10	quantitative	quantitative	ADJ
ap-2078	219	11	measure	measure	NOUN
ap-2078	219	12	for	for	ADP
ap-2078	219	13	the	the	DET
ap-2078	219	14	skewness	skewness	NOUN
ap-2078	219	15	of	of	ADP
ap-2078	219	16	the	the	DET
ap-2078	219	17	modes	mode	NOUN
ap-2078	219	18	when	when	SCONJ
ap-2078	219	19	the	the	DET
ap-2078	219	20	crossing	crossing	NOUN
ap-2078	219	21	point	point	NOUN
ap-2078	219	22	is	be	AUX
ap-2078	219	23	approached	approach	VERB
ap-2078	219	24	.	.	PUNCT
ap-2078	220	1	in	in	ADP
ap-2078	220	2	figs	fig	NOUN
ap-2078	220	3	.	.	PUNCT
ap-2078	221	1	1ef	1ef	ADJ
ap-2078	221	2	,	,	PUNCT
ap-2078	221	3	the	the	DET
ap-2078	221	4	eigenfunctions	eigenfunction	NOUN
ap-2078	221	5	of	of	ADP
ap-2078	221	6	the	the	DET
ap-2078	221	7	hamiltonian	hamiltonian	NOUN
ap-2078	221	8	(	(	PUNCT
ap-2078	221	9	22	22	NUM
ap-2078	221	10	)	)	PUNCT
ap-2078	221	11	(	(	PUNCT
ap-2078	221	12	calculated	calculate	VERB
ap-2078	221	13	with	with	ADP
ap-2078	221	14	real	real	ADJ
ap-2078	221	15	w	w	NOUN
ap-2078	221	16	)	)	PUNCT
ap-2078	221	17	are	be	AUX
ap-2078	221	18	compared	compare	VERB
ap-2078	221	19	to	to	ADP
ap-2078	221	20	those	those	PRON
ap-2078	221	21	of	of	ADP
ap-2078	221	22	the	the	DET
ap-2078	221	23	hamiltonian	hamiltonian	NOUN
ap-2078	221	24	(	(	PUNCT
ap-2078	221	25	4	4	NUM
ap-2078	221	26	)	)	PUNCT
ap-2078	221	27	(	(	PUNCT
ap-2078	221	28	calculated	calculate	VERB
ap-2078	221	29	with	with	ADP
ap-2078	221	30	imaginary	imaginary	ADJ
ap-2078	221	31	ω	ω	NOUN
ap-2078	221	32	)	)	PUNCT
ap-2078	221	33	.	.	PUNCT
ap-2078	222	1	they	they	PRON
ap-2078	222	2	show	show	VERB
ap-2078	222	3	the	the	DET
ap-2078	222	4	same	same	ADJ
ap-2078	222	5	characteristic	characteristic	ADJ
ap-2078	222	6	features	feature	NOUN
ap-2078	222	7	.	.	PUNCT
ap-2078	223	1	as	as	SCONJ
ap-2078	223	2	can	can	AUX
ap-2078	223	3	be	be	AUX
ap-2078	223	4	seen	see	VERB
ap-2078	223	5	from	from	ADP
ap-2078	223	6	fig	fig	NOUN
ap-2078	223	7	.	.	PUNCT
ap-2078	224	1	1e	1e	NUM
ap-2078	224	2	,	,	PUNCT
ap-2078	224	3	pt	pt	PROPN
ap-2078	224	4	symmetry	symmetry	NOUN
ap-2078	224	5	breaking	breaking	NOUN
ap-2078	224	6	is	be	AUX
ap-2078	224	7	accompanied	accompany	VERB
ap-2078	224	8	by	by	ADP
ap-2078	224	9	a	a	DET
ap-2078	224	10	mixing	mixing	NOUN
ap-2078	224	11	of	of	ADP
ap-2078	224	12	the	the	DET
ap-2078	224	13	eigenfunctions	eigenfunction	NOUN
ap-2078	224	14	in	in	ADP
ap-2078	224	15	a	a	DET
ap-2078	224	16	finite	finite	ADJ
ap-2078	224	17	neighborhood	neighborhood	NOUN
ap-2078	224	18	of	of	ADP
ap-2078	224	19	the	the	DET
ap-2078	224	20	eps	eps	PROPN
ap-2078	224	21	in	in	ADP
ap-2078	224	22	pt	pt	PROPN
ap-2078	224	23	symmetric	symmetric	ADJ
ap-2078	224	24	systems	system	NOUN
ap-2078	224	25	.	.	PUNCT
ap-2078	225	1	this	this	DET
ap-2078	225	2	result	result	NOUN
ap-2078	225	3	is	be	AUX
ap-2078	225	4	in	in	ADP
ap-2078	225	5	complete	complete	ADJ
ap-2078	225	6	analogy	analogy	NOUN
ap-2078	225	7	to	to	ADP
ap-2078	225	8	the	the	DET
ap-2078	225	9	results	result	NOUN
ap-2078	225	10	shown	show	VERB
ap-2078	225	11	in	in	ADP
ap-2078	225	12	fig	fig	NOUN
ap-2078	225	13	.	.	PUNCT
ap-2078	226	1	1f	1f	PROPN
ap-2078	226	2	for	for	ADP
ap-2078	226	3	open	open	ADJ
ap-2078	226	4	quantum	quantum	NOUN
ap-2078	226	5	systems	system	NOUN
ap-2078	226	6	110	110	NUM
ap-2078	226	7	vol	vol	NOUN
ap-2078	226	8	.	.	PUNCT
ap-2078	227	1	54	54	NUM
ap-2078	227	2	no	no	NOUN
ap-2078	227	3	.	.	PUNCT
ap-2078	228	1	2/2014	2/2014	NUM
ap-2078	228	2	exceptional	exceptional	ADJ
ap-2078	228	3	points	point	NOUN
ap-2078	228	4	in	in	ADP
ap-2078	228	5	open	open	ADJ
ap-2078	228	6	and	and	CCONJ
ap-2078	228	7	pt	pt	ADJ
ap-2078	228	8	-	-	PUNCT
ap-2078	228	9	symmetric	symmetric	ADJ
ap-2078	228	10	systems	system	NOUN
ap-2078	228	11	figure	figure	NOUN
ap-2078	228	12	1	1	NUM
ap-2078	228	13	.	.	PUNCT
ap-2078	229	1	energies	energy	NOUN
ap-2078	229	2	ei	ei	PROPN
ap-2078	229	3	,	,	PUNCT
ap-2078	229	4	widths	width	NOUN
ap-2078	229	5	γi/2	γi/2	NOUN
ap-2078	229	6	and	and	CCONJ
ap-2078	229	7	wavefunctions	wavefunction	NOUN
ap-2078	229	8	|bij	|bij	ADJ
ap-2078	229	9	|	|	ADV
ap-2078	229	10	of	of	ADP
ap-2078	229	11	n	n	NOUN
ap-2078	229	12	=	=	SYM
ap-2078	229	13	2	2	NUM
ap-2078	229	14	states	state	NOUN
ap-2078	229	15	coupled	couple	VERB
ap-2078	229	16	to	to	ADP
ap-2078	229	17	k	k	PROPN
ap-2078	229	18	=	=	SYM
ap-2078	229	19	1	1	NUM
ap-2078	229	20	channel	channel	NOUN
ap-2078	229	21	as	as	ADP
ap-2078	229	22	function	function	NOUN
ap-2078	229	23	of	of	ADP
ap-2078	229	24	a	a	PRON
ap-2078	229	25	of	of	ADP
ap-2078	229	26	a	a	DET
ap-2078	229	27	pt	pt	X
ap-2078	229	28	symmetric	symmetric	ADJ
ap-2078	229	29	system	system	NOUN
ap-2078	229	30	with	with	ADP
ap-2078	229	31	hamiltonian	hamiltonian	ADJ
ap-2078	229	32	(	(	PUNCT
ap-2078	229	33	22	22	NUM
ap-2078	229	34	)	)	PUNCT
ap-2078	229	35	(	(	PUNCT
ap-2078	229	36	left	leave	VERB
ap-2078	229	37	panel	panel	NOUN
ap-2078	229	38	)	)	PUNCT
ap-2078	229	39	and	and	CCONJ
ap-2078	229	40	of	of	ADP
ap-2078	229	41	an	an	DET
ap-2078	229	42	open	open	ADJ
ap-2078	229	43	quantum	quantum	NOUN
ap-2078	229	44	system	system	NOUN
ap-2078	229	45	with	with	ADP
ap-2078	229	46	hamiltonian	hamiltonian	ADJ
ap-2078	229	47	(	(	PUNCT
ap-2078	229	48	4	4	NUM
ap-2078	229	49	)	)	PUNCT
ap-2078	229	50	(	(	PUNCT
ap-2078	229	51	right	right	ADJ
ap-2078	229	52	panel	panel	NOUN
ap-2078	229	53	)	)	PUNCT
ap-2078	229	54	.	.	PUNCT
ap-2078	230	1	parameters	parameter	NOUN
ap-2078	230	2	left	leave	VERB
ap-2078	230	3	panel	panel	NOUN
ap-2078	230	4	:	:	PUNCT
ap-2078	230	5	e	e	X
ap-2078	230	6	=	=	SYM
ap-2078	230	7	0.5	0.5	NUM
ap-2078	230	8	,	,	PUNCT
ap-2078	230	9	γ1	γ1	NOUN
ap-2078	230	10	=	=	SYM
ap-2078	230	11	−γ2	−γ2	PROPN
ap-2078	230	12	=	=	SYM
ap-2078	230	13	0.05a	0.05a	PROPN
ap-2078	230	14	,	,	PUNCT
ap-2078	230	15	w	w	NOUN
ap-2078	230	16	=	=	NOUN
ap-2078	230	17	0.05	0.05	NUM
ap-2078	230	18	;	;	PUNCT
ap-2078	230	19	right	right	ADJ
ap-2078	230	20	panel	panel	NOUN
ap-2078	230	21	:	:	PUNCT
ap-2078	230	22	e1	e1	NOUN
ap-2078	230	23	=	=	SYM
ap-2078	230	24	1	1	NUM
ap-2078	230	25	−	−	PROPN
ap-2078	230	26	0.5a	0.5a	PROPN
ap-2078	230	27	,	,	PUNCT
ap-2078	230	28	e2	e2	PROPN
ap-2078	230	29	=	=	PUNCT
ap-2078	230	30	a	a	PROPN
ap-2078	230	31	,	,	PUNCT
ap-2078	230	32	γ1/2	γ1/2	NOUN
ap-2078	230	33	=	=	SYM
ap-2078	230	34	γ2/2	γ2/2	VERB
ap-2078	230	35	=	=	SYM
ap-2078	230	36	0.5	0.5	NUM
ap-2078	230	37	,	,	PUNCT
ap-2078	230	38	ω	ω	NOUN
ap-2078	230	39	=	=	SYM
ap-2078	230	40	0.05i	0.05i	PROPN
ap-2078	230	41	.	.	PUNCT
ap-2078	231	1	the	the	DET
ap-2078	231	2	dashed	dash	VERB
ap-2078	231	3	lines	line	NOUN
ap-2078	231	4	in	in	ADP
ap-2078	231	5	(	(	PUNCT
ap-2078	231	6	a	a	DET
ap-2078	231	7	,	,	PUNCT
ap-2078	231	8	b	b	NOUN
ap-2078	231	9	)	)	PUNCT
ap-2078	231	10	show	show	NOUN
ap-2078	231	11	ei(a	ei(a	ADJ
ap-2078	231	12	)	)	PUNCT
ap-2078	231	13	.	.	PUNCT
ap-2078	232	1	where	where	SCONJ
ap-2078	232	2	a	a	DET
ap-2078	232	3	hint	hint	NOUN
ap-2078	232	4	of	of	ADP
ap-2078	232	5	width	width	ADJ
ap-2078	232	6	bifurcation	bifurcation	NOUN
ap-2078	232	7	can	can	AUX
ap-2078	232	8	be	be	AUX
ap-2078	232	9	seen	see	VERB
ap-2078	232	10	in	in	ADP
ap-2078	232	11	the	the	DET
ap-2078	232	12	mixing	mixing	NOUN
ap-2078	232	13	of	of	ADP
ap-2078	232	14	the	the	DET
ap-2078	232	15	eigenfunctions	eigenfunction	NOUN
ap-2078	232	16	around	around	ADP
ap-2078	232	17	these	these	DET
ap-2078	232	18	points	point	NOUN
ap-2078	232	19	.	.	PUNCT
ap-2078	233	1	also	also	ADV
ap-2078	233	2	the	the	DET
ap-2078	233	3	phases	phase	NOUN
ap-2078	233	4	of	of	ADP
ap-2078	233	5	the	the	DET
ap-2078	233	6	eigenfunctions	eigenfunction	NOUN
ap-2078	233	7	jump	jump	VERB
ap-2078	233	8	in	in	ADP
ap-2078	233	9	both	both	DET
ap-2078	233	10	cases	case	NOUN
ap-2078	233	11	by	by	ADP
ap-2078	233	12	π/4	π/4	PUNCT
ap-2078	233	13	at	at	ADP
ap-2078	233	14	the	the	DET
ap-2078	233	15	eps	eps	PROPN
ap-2078	233	16	(	(	PUNCT
ap-2078	233	17	not	not	PART
ap-2078	233	18	shown	show	VERB
ap-2078	233	19	here	here	ADV
ap-2078	233	20	)	)	PUNCT
ap-2078	233	21	.	.	PUNCT
ap-2078	234	1	in	in	ADP
ap-2078	234	2	the	the	DET
ap-2078	234	3	parameter	parameter	NOUN
ap-2078	234	4	region	region	NOUN
ap-2078	234	5	between	between	ADP
ap-2078	234	6	the	the	DET
ap-2078	234	7	two	two	NUM
ap-2078	234	8	eps	ep	NOUN
ap-2078	234	9	,	,	PUNCT
ap-2078	234	10	the	the	DET
ap-2078	234	11	eigenfunctions	eigenfunction	NOUN
ap-2078	234	12	are	be	AUX
ap-2078	234	13	completely	completely	ADV
ap-2078	234	14	mixed	mixed	ADJ
ap-2078	234	15	(	(	PUNCT
ap-2078	234	16	1:1	1:1	NUM
ap-2078	234	17	)	)	PUNCT
ap-2078	234	18	in	in	ADP
ap-2078	234	19	both	both	DET
ap-2078	234	20	cases	case	NOUN
ap-2078	234	21	while	while	SCONJ
ap-2078	234	22	they	they	PRON
ap-2078	234	23	are	be	AUX
ap-2078	234	24	unmixed	unmixe	VERB
ap-2078	234	25	far	far	ADV
ap-2078	234	26	beyond	beyond	ADP
ap-2078	234	27	the	the	DET
ap-2078	234	28	eps	eps	PROPN
ap-2078	234	29	,	,	PUNCT
ap-2078	234	30	see	see	VERB
ap-2078	234	31	figs	fig	NOUN
ap-2078	234	32	.	.	PUNCT
ap-2078	235	1	1ef	1ef	ADJ
ap-2078	235	2	.	.	PUNCT
ap-2078	236	1	4	4	X
ap-2078	236	2	.	.	X
ap-2078	236	3	discussion	discussion	NOUN
ap-2078	236	4	of	of	ADP
ap-2078	236	5	the	the	DET
ap-2078	236	6	results	result	NOUN
ap-2078	236	7	on	on	ADP
ap-2078	236	8	the	the	DET
ap-2078	236	9	basis	basis	NOUN
ap-2078	236	10	of	of	ADP
ap-2078	236	11	2	2	NUM
ap-2078	236	12	×	×	NOUN
ap-2078	236	13	2	2	NUM
ap-2078	236	14	models	model	NOUN
ap-2078	236	15	,	,	PUNCT
ap-2078	236	16	we	we	PRON
ap-2078	236	17	have	have	AUX
ap-2078	236	18	compared	compare	VERB
ap-2078	236	19	the	the	DET
ap-2078	236	20	influence	influence	NOUN
ap-2078	236	21	of	of	ADP
ap-2078	236	22	an	an	DET
ap-2078	236	23	ep	ep	NOUN
ap-2078	236	24	on	on	ADP
ap-2078	236	25	the	the	DET
ap-2078	236	26	dynamics	dynamic	NOUN
ap-2078	236	27	of	of	ADP
ap-2078	236	28	an	an	DET
ap-2078	236	29	open	open	ADJ
ap-2078	236	30	quantum	quantum	NOUN
ap-2078	236	31	system	system	NOUN
ap-2078	236	32	with	with	ADP
ap-2078	236	33	its	its	PRON
ap-2078	236	34	influence	influence	NOUN
ap-2078	236	35	on	on	ADP
ap-2078	236	36	pt	pt	NOUN
ap-2078	236	37	symmetry	symmetry	NOUN
ap-2078	236	38	breaking	break	VERB
ap-2078	236	39	in	in	ADP
ap-2078	236	40	a	a	DET
ap-2078	236	41	pt	pt	NOUN
ap-2078	236	42	symmetric	symmetric	ADJ
ap-2078	236	43	system	system	NOUN
ap-2078	236	44	.	.	PUNCT
ap-2078	237	1	in	in	ADP
ap-2078	237	2	the	the	DET
ap-2078	237	3	first	first	ADJ
ap-2078	237	4	case	case	NOUN
ap-2078	237	5	the	the	DET
ap-2078	237	6	coupling	coupling	NOUN
ap-2078	237	7	of	of	ADP
ap-2078	237	8	the	the	DET
ap-2078	237	9	two	two	NUM
ap-2078	237	10	states	state	NOUN
ap-2078	237	11	via	via	ADP
ap-2078	237	12	the	the	DET
ap-2078	237	13	environment	environment	NOUN
ap-2078	237	14	is	be	AUX
ap-2078	237	15	symmetric	symmetric	ADJ
ap-2078	237	16	(	(	PUNCT
ap-2078	237	17	ω12	ω12	NUM
ap-2078	237	18	=	=	NUM
ap-2078	237	19	ω21	ω21	VERB
ap-2078	237	20	≡	≡	PROPN
ap-2078	237	21	ω	ω	PROPN
ap-2078	237	22	)	)	PUNCT
ap-2078	237	23	.	.	PUNCT
ap-2078	238	1	in	in	ADP
ap-2078	238	2	the	the	DET
ap-2078	238	3	second	second	ADJ
ap-2078	238	4	case	case	NOUN
ap-2078	238	5	however	however	ADV
ap-2078	238	6	,	,	PUNCT
ap-2078	238	7	the	the	DET
ap-2078	238	8	formal	formal	ADJ
ap-2078	238	9	equivalence	equivalence	NOUN
ap-2078	238	10	of	of	ADP
ap-2078	238	11	the	the	DET
ap-2078	238	12	optical	optical	ADJ
ap-2078	238	13	wave	wave	NOUN
ap-2078	238	14	equation	equation	NOUN
ap-2078	238	15	in	in	ADP
ap-2078	238	16	pt	pt	PROPN
ap-2078	238	17	symmetric	symmetric	ADJ
ap-2078	238	18	optical	optical	ADJ
ap-2078	238	19	lattices	lattice	NOUN
ap-2078	238	20	with	with	ADP
ap-2078	238	21	a	a	DET
ap-2078	238	22	quantum	quantum	ADJ
ap-2078	238	23	mechanical	mechanical	ADJ
ap-2078	238	24	schrödinger	schrödinger	ADJ
ap-2078	238	25	equation	equation	NOUN
ap-2078	238	26	causes	cause	VERB
ap-2078	238	27	the	the	DET
ap-2078	238	28	two	two	NUM
ap-2078	238	29	nondiagonal	nondiagonal	ADJ
ap-2078	238	30	matrix	matrix	NOUN
ap-2078	238	31	elements	element	NOUN
ap-2078	238	32	to	to	PART
ap-2078	238	33	be	be	AUX
ap-2078	238	34	complex	complex	ADJ
ap-2078	238	35	conjugate	conjugate	ADJ
ap-2078	238	36	(	(	PUNCT
ap-2078	238	37	w21	w21	NOUN
ap-2078	238	38	=	=	SYM
ap-2078	238	39	w∗12	w∗12	PROPN
ap-2078	238	40	)	)	PUNCT
ap-2078	238	41	.	.	PUNCT
ap-2078	239	1	the	the	DET
ap-2078	239	2	eigenvalues	eigenvalue	NOUN
ap-2078	239	3	depend	depend	VERB
ap-2078	239	4	in	in	ADP
ap-2078	239	5	the	the	DET
ap-2078	239	6	first	first	ADJ
ap-2078	239	7	case	case	NOUN
ap-2078	239	8	on	on	ADP
ap-2078	239	9	the	the	DET
ap-2078	239	10	ratio	ratio	NOUN
ap-2078	239	11	re(ω)/	re(ω)/	PROPN
ap-2078	239	12	im(ω	im(ω	VERB
ap-2078	239	13	)	)	PUNCT
ap-2078	239	14	while	while	SCONJ
ap-2078	239	15	they	they	PRON
ap-2078	239	16	are	be	AUX
ap-2078	239	17	independent	independent	ADJ
ap-2078	239	18	of	of	ADP
ap-2078	239	19	re(w)/	re(w)/	PROPN
ap-2078	239	20	im(w	im(w	PUNCT
ap-2078	239	21	)	)	PUNCT
ap-2078	239	22	in	in	ADP
ap-2078	239	23	the	the	DET
ap-2078	239	24	second	second	ADJ
ap-2078	239	25	case	case	NOUN
ap-2078	239	26	.	.	PUNCT
ap-2078	240	1	the	the	DET
ap-2078	240	2	eigenfunctions	eigenfunction	NOUN
ap-2078	240	3	are	be	AUX
ap-2078	240	4	sensitive	sensitive	ADJ
ap-2078	240	5	to	to	ADP
ap-2078	240	6	re(ω)/	re(ω)/	PROPN
ap-2078	240	7	im(ω	im(ω	PROPN
ap-2078	240	8	)	)	PUNCT
ap-2078	240	9	and	and	CCONJ
ap-2078	240	10	re(w)/	re(w)/	PROPN
ap-2078	240	11	im(w	im(w	NUM
ap-2078	240	12	)	)	PUNCT
ap-2078	240	13	,	,	PUNCT
ap-2078	240	14	respectively	respectively	ADV
ap-2078	240	15	,	,	PUNCT
ap-2078	240	16	in	in	ADP
ap-2078	240	17	both	both	DET
ap-2078	240	18	cases	case	NOUN
ap-2078	240	19	.	.	PUNCT
ap-2078	241	1	the	the	DET
ap-2078	241	2	eps	eps	PROPN
ap-2078	241	3	cause	cause	VERB
ap-2078	241	4	nonlinear	nonlinear	ADJ
ap-2078	241	5	effects	effect	NOUN
ap-2078	241	6	in	in	ADP
ap-2078	241	7	their	their	PRON
ap-2078	241	8	neighborhood	neighborhood	NOUN
ap-2078	241	9	which	which	PRON
ap-2078	241	10	determine	determine	VERB
ap-2078	241	11	the	the	DET
ap-2078	241	12	evolution	evolution	NOUN
ap-2078	241	13	of	of	ADP
ap-2078	241	14	open	open	ADJ
ap-2078	241	15	as	as	ADV
ap-2078	241	16	well	well	ADV
ap-2078	241	17	as	as	ADP
ap-2078	241	18	of	of	ADP
ap-2078	241	19	pt	pt	NOUN
ap-2078	241	20	symmetric	symmetric	ADJ
ap-2078	241	21	systems	system	NOUN
ap-2078	241	22	.	.	PUNCT
ap-2078	242	1	most	most	ADV
ap-2078	242	2	important	important	ADJ
ap-2078	242	3	for	for	ADP
ap-2078	242	4	the	the	DET
ap-2078	242	5	dynamics	dynamic	NOUN
ap-2078	242	6	of	of	ADP
ap-2078	242	7	an	an	DET
ap-2078	242	8	open	open	ADJ
ap-2078	242	9	quantum	quantum	NOUN
ap-2078	242	10	system	system	NOUN
ap-2078	242	11	is	be	AUX
ap-2078	242	12	the	the	DET
ap-2078	242	13	regime	regime	NOUN
ap-2078	242	14	at	at	ADP
ap-2078	242	15	high	high	ADJ
ap-2078	242	16	level	level	NOUN
ap-2078	242	17	density	density	NOUN
ap-2078	242	18	where	where	SCONJ
ap-2078	242	19	the	the	DET
ap-2078	242	20	coupling	coupling	NOUN
ap-2078	242	21	coefficients	coefficient	NOUN
ap-2078	242	22	are	be	AUX
ap-2078	242	23	(	(	PUNCT
ap-2078	242	24	almost	almost	ADV
ap-2078	242	25	)	)	PUNCT
ap-2078	242	26	imaginary	imaginary	ADJ
ap-2078	242	27	.	.	PUNCT
ap-2078	243	1	here	here	ADV
ap-2078	243	2	,	,	PUNCT
ap-2078	243	3	two	two	NUM
ap-2078	243	4	eps	ep	NOUN
ap-2078	243	5	appear	appear	VERB
ap-2078	243	6	when	when	SCONJ
ap-2078	243	7	the	the	DET
ap-2078	243	8	decay	decay	NOUN
ap-2078	243	9	widths	width	NOUN
ap-2078	243	10	γi	γi	INTJ
ap-2078	243	11	of	of	ADP
ap-2078	243	12	both	both	DET
ap-2078	243	13	states	state	NOUN
ap-2078	243	14	are	be	AUX
ap-2078	243	15	(	(	PUNCT
ap-2078	243	16	almost	almost	ADV
ap-2078	243	17	)	)	PUNCT
ap-2078	243	18	the	the	DET
ap-2078	243	19	same	same	ADJ
ap-2078	243	20	.	.	PUNCT
ap-2078	244	1	approaching	approach	VERB
ap-2078	244	2	the	the	DET
ap-2078	244	3	eps	eps	PROPN
ap-2078	244	4	,	,	PUNCT
ap-2078	244	5	width	width	ADJ
ap-2078	244	6	bifurcation	bifurcation	NOUN
ap-2078	244	7	starts	start	VERB
ap-2078	244	8	and	and	CCONJ
ap-2078	244	9	ends	end	VERB
ap-2078	244	10	,	,	PUNCT
ap-2078	244	11	respectively	respectively	ADV
ap-2078	244	12	,	,	PUNCT
ap-2078	244	13	while	while	SCONJ
ap-2078	244	14	beyond	beyond	ADP
ap-2078	244	15	the	the	DET
ap-2078	244	16	eps	eps	PROPN
ap-2078	244	17	the	the	DET
ap-2078	244	18	widths	width	NOUN
ap-2078	244	19	of	of	ADP
ap-2078	244	20	both	both	DET
ap-2078	244	21	states	state	NOUN
ap-2078	244	22	are	be	AUX
ap-2078	244	23	equal	equal	ADJ
ap-2078	244	24	(	(	PUNCT
ap-2078	244	25	or	or	CCONJ
ap-2078	244	26	similar	similar	ADJ
ap-2078	244	27	)	)	PUNCT
ap-2078	244	28	to	to	ADP
ap-2078	244	29	one	one	NUM
ap-2078	244	30	another	another	DET
ap-2078	244	31	.	.	PUNCT
ap-2078	245	1	the	the	DET
ap-2078	245	2	energies	energy	NOUN
ap-2078	245	3	of	of	ADP
ap-2078	245	4	the	the	DET
ap-2078	245	5	two	two	NUM
ap-2078	245	6	states	state	NOUN
ap-2078	245	7	show	show	VERB
ap-2078	245	8	an	an	DET
ap-2078	245	9	opposite	opposite	ADJ
ap-2078	245	10	behavior	behavior	NOUN
ap-2078	245	11	:	:	PUNCT
ap-2078	245	12	it	it	PRON
ap-2078	245	13	is	be	AUX
ap-2078	245	14	ei	ei	NOUN
ap-2078	245	15	=	=	PROPN
ap-2078	245	16	e2	e2	PROPN
ap-2078	245	17	(	(	PUNCT
ap-2078	245	18	or	or	CCONJ
ap-2078	245	19	ei	ei	ADP
ap-2078	245	20	≈	≈	PROPN
ap-2078	245	21	e2	e2	PROPN
ap-2078	245	22	)	)	PUNCT
ap-2078	245	23	in	in	ADP
ap-2078	245	24	the	the	DET
ap-2078	245	25	parameter	parameter	NOUN
ap-2078	245	26	range	range	NOUN
ap-2078	245	27	between	between	ADP
ap-2078	245	28	the	the	DET
ap-2078	245	29	two	two	NUM
ap-2078	245	30	eps	ep	NOUN
ap-2078	245	31	while	while	SCONJ
ap-2078	245	32	the	the	DET
ap-2078	245	33	states	state	NOUN
ap-2078	245	34	repel	repel	VERB
ap-2078	245	35	each	each	DET
ap-2078	245	36	other	other	ADJ
ap-2078	245	37	in	in	ADP
ap-2078	245	38	energy	energy	NOUN
ap-2078	245	39	beyond	beyond	ADP
ap-2078	245	40	the	the	DET
ap-2078	245	41	eps	eps	PROPN
ap-2078	245	42	.	.	PUNCT
ap-2078	246	1	the	the	DET
ap-2078	246	2	width	width	ADJ
ap-2078	246	3	bifurcation	bifurcation	NOUN
ap-2078	246	4	related	relate	VERB
ap-2078	246	5	to	to	ADP
ap-2078	246	6	the	the	DET
ap-2078	246	7	two	two	NUM
ap-2078	246	8	eps	eps	PROPN
ap-2078	246	9	becomes	become	VERB
ap-2078	246	10	relevant	relevant	ADJ
ap-2078	246	11	for	for	ADP
ap-2078	246	12	the	the	DET
ap-2078	246	13	dynamics	dynamic	NOUN
ap-2078	246	14	of	of	ADP
ap-2078	246	15	an	an	DET
ap-2078	246	16	open	open	ADJ
ap-2078	246	17	quantum	quantum	NOUN
ap-2078	246	18	system	system	NOUN
ap-2078	246	19	at	at	ADP
ap-2078	246	20	high	high	ADJ
ap-2078	246	21	level	level	NOUN
ap-2078	246	22	density	density	NOUN
ap-2078	246	23	.	.	PUNCT
ap-2078	247	1	here	here	ADV
ap-2078	247	2	,	,	PUNCT
ap-2078	247	3	short	short	NOUN
ap-2078	247	4	-	-	PUNCT
ap-2078	247	5	lived	live	VERB
ap-2078	247	6	and	and	CCONJ
ap-2078	247	7	long	long	ADV
ap-2078	247	8	-	-	PUNCT
ap-2078	247	9	lived	live	VERB
ap-2078	247	10	states	state	NOUN
ap-2078	247	11	are	be	AUX
ap-2078	247	12	formed	form	VERB
ap-2078	247	13	which	which	PRON
ap-2078	247	14	are	be	AUX
ap-2078	247	15	related	relate	VERB
ap-2078	247	16	to	to	ADP
ap-2078	247	17	different	different	ADJ
ap-2078	247	18	time	time	NOUN
ap-2078	247	19	scales	scale	NOUN
ap-2078	247	20	of	of	ADP
ap-2078	247	21	the	the	DET
ap-2078	247	22	system	system	NOUN
ap-2078	247	23	(	(	PUNCT
ap-2078	247	24	for	for	SCONJ
ap-2078	247	25	details	detail	NOUN
ap-2078	247	26	see	see	VERB
ap-2078	247	27	[	[	X
ap-2078	247	28	14	14	NUM
ap-2078	247	29	]	]	NUM
ap-2078	247	30	)	)	PUNCT
ap-2078	247	31	.	.	PUNCT
ap-2078	248	1	two	two	NUM
ap-2078	248	2	eps	ep	NOUN
ap-2078	248	3	appear	appear	VERB
ap-2078	248	4	also	also	ADV
ap-2078	248	5	in	in	ADP
ap-2078	248	6	a	a	DET
ap-2078	248	7	pt	pt	ADJ
ap-2078	248	8	symmetric	symmetric	ADJ
ap-2078	248	9	system	system	NOUN
ap-2078	248	10	,	,	PUNCT
ap-2078	248	11	and	and	CCONJ
ap-2078	248	12	pt	pt	NOUN
ap-2078	248	13	symmetry	symmetry	NOUN
ap-2078	248	14	breaking	breaking	NOUN
ap-2078	248	15	is	be	AUX
ap-2078	248	16	directly	directly	ADV
ap-2078	248	17	related	relate	VERB
ap-2078	248	18	to	to	ADP
ap-2078	248	19	them	they	PRON
ap-2078	248	20	.	.	PUNCT
ap-2078	249	1	from	from	ADP
ap-2078	249	2	a	a	DET
ap-2078	249	3	mathematical	mathematical	ADJ
ap-2078	249	4	point	point	NOUN
ap-2078	249	5	of	of	ADP
ap-2078	249	6	view	view	NOUN
ap-2078	249	7	however	however	ADV
ap-2078	249	8	,	,	PUNCT
ap-2078	249	9	energy	energy	NOUN
ap-2078	249	10	and	and	CCONJ
ap-2078	249	11	time	time	NOUN
ap-2078	249	12	are	be	AUX
ap-2078	249	13	exchanged	exchange	VERB
ap-2078	249	14	in	in	ADP
ap-2078	249	15	comparison	comparison	NOUN
ap-2078	249	16	with	with	ADP
ap-2078	249	17	the	the	DET
ap-2078	249	18	corresponding	corresponding	ADJ
ap-2078	249	19	values	value	NOUN
ap-2078	249	20	in	in	ADP
ap-2078	249	21	an	an	DET
ap-2078	249	22	open	open	ADJ
ap-2078	249	23	quantum	quantum	NOUN
ap-2078	249	24	system	system	NOUN
ap-2078	249	25	.	.	PUNCT
ap-2078	250	1	this	this	PRON
ap-2078	250	2	means	mean	VERB
ap-2078	250	3	that	that	SCONJ
ap-2078	250	4	the	the	DET
ap-2078	250	5	widths	width	NOUN
ap-2078	250	6	of	of	ADP
ap-2078	250	7	both	both	DET
ap-2078	250	8	states	state	NOUN
ap-2078	250	9	are	be	AUX
ap-2078	250	10	equal	equal	ADJ
ap-2078	250	11	and	and	CCONJ
ap-2078	250	12	111	111	NUM
ap-2078	250	13	hichem	hichem	NOUN
ap-2078	250	14	eleuch	eleuch	NOUN
ap-2078	250	15	,	,	PUNCT
ap-2078	250	16	ingrid	ingrid	PROPN
ap-2078	250	17	rotter	rotter	PROPN
ap-2078	250	18	acta	acta	PROPN
ap-2078	250	19	polytechnica	polytechnica	PROPN
ap-2078	250	20	vanish	vanish	VERB
ap-2078	250	21	in	in	ADP
ap-2078	250	22	the	the	DET
ap-2078	250	23	case	case	NOUN
ap-2078	250	24	of	of	ADP
ap-2078	250	25	the	the	DET
ap-2078	250	26	hamiltonian	hamiltonian	NOUN
ap-2078	250	27	(	(	PUNCT
ap-2078	250	28	22	22	NUM
ap-2078	250	29	)	)	PUNCT
ap-2078	250	30	with	with	ADP
ap-2078	250	31	gain	gain	NOUN
ap-2078	250	32	and	and	CCONJ
ap-2078	250	33	loss	loss	NOUN
ap-2078	250	34	in	in	ADP
ap-2078	250	35	the	the	DET
ap-2078	250	36	whole	whole	ADJ
ap-2078	250	37	parameter	parameter	NOUN
ap-2078	250	38	range	range	NOUN
ap-2078	250	39	between	between	ADP
ap-2078	250	40	the	the	DET
ap-2078	250	41	two	two	NUM
ap-2078	250	42	eps	ep	NOUN
ap-2078	250	43	.	.	PROPN
ap-2078	251	1	in	in	ADP
ap-2078	251	2	this	this	DET
ap-2078	251	3	parameter	parameter	NOUN
ap-2078	251	4	range	range	NOUN
ap-2078	251	5	,	,	PUNCT
ap-2078	251	6	the	the	DET
ap-2078	251	7	eigenvalues	eigenvalue	NOUN
ap-2078	251	8	are	be	AUX
ap-2078	251	9	real	real	ADJ
ap-2078	251	10	and	and	CCONJ
ap-2078	251	11	,	,	PUNCT
ap-2078	251	12	furthermore	furthermore	ADV
ap-2078	251	13	,	,	PUNCT
ap-2078	251	14	level	level	NOUN
ap-2078	251	15	repulsion	repulsion	NOUN
ap-2078	251	16	prohibits	prohibit	VERB
ap-2078	251	17	a	a	DET
ap-2078	251	18	small	small	ADJ
ap-2078	251	19	energy	energy	NOUN
ap-2078	251	20	distance	distance	NOUN
ap-2078	251	21	between	between	ADP
ap-2078	251	22	the	the	DET
ap-2078	251	23	two	two	NUM
ap-2078	251	24	levels	level	NOUN
ap-2078	251	25	.	.	PUNCT
ap-2078	252	1	therefore	therefore	ADV
ap-2078	252	2	the	the	DET
ap-2078	252	3	non	non	ADJ
ap-2078	252	4	-	-	ADJ
ap-2078	252	5	diagonal	diagonal	ADJ
ap-2078	252	6	coupling	coupling	NOUN
ap-2078	252	7	matrix	matrix	NOUN
ap-2078	252	8	elements	element	NOUN
ap-2078	252	9	w	w	NOUN
ap-2078	252	10	are	be	AUX
ap-2078	252	11	(	(	PUNCT
ap-2078	252	12	almost	almost	ADV
ap-2078	252	13	)	)	PUNCT
ap-2078	252	14	real	real	ADJ
ap-2078	252	15	,	,	PUNCT
ap-2078	252	16	re(w	re(w	NUM
ap-2078	252	17	)	)	PUNCT
ap-2078	252	18	�	�	PROPN
ap-2078	252	19	im(w	im(w	NUM
ap-2078	252	20	)	)	PUNCT
ap-2078	252	21	.	.	PUNCT
ap-2078	253	1	the	the	DET
ap-2078	253	2	eigenfunctions	eigenfunction	NOUN
ap-2078	253	3	of	of	ADP
ap-2078	253	4	the	the	DET
ap-2078	253	5	different	different	ADJ
ap-2078	253	6	2	2	NUM
ap-2078	253	7	×	×	NOUN
ap-2078	253	8	2	2	NUM
ap-2078	253	9	models	model	NOUN
ap-2078	253	10	considered	consider	VERB
ap-2078	253	11	in	in	ADP
ap-2078	253	12	the	the	DET
ap-2078	253	13	present	present	ADJ
ap-2078	253	14	paper	paper	NOUN
ap-2078	253	15	show	show	NOUN
ap-2078	253	16	very	very	ADV
ap-2078	253	17	clearly	clearly	ADV
ap-2078	253	18	that	that	SCONJ
ap-2078	253	19	the	the	DET
ap-2078	253	20	spectroscopic	spectroscopic	ADJ
ap-2078	253	21	redistribution	redistribution	NOUN
ap-2078	253	22	inside	inside	ADP
ap-2078	253	23	the	the	DET
ap-2078	253	24	system	system	NOUN
ap-2078	253	25	is	be	AUX
ap-2078	253	26	indeed	indeed	ADV
ap-2078	253	27	caused	cause	VERB
ap-2078	253	28	by	by	ADP
ap-2078	253	29	the	the	DET
ap-2078	253	30	eps	eps	PROPN
ap-2078	253	31	.	.	PROPN
ap-2078	253	32	however	however	ADV
ap-2078	253	33	,	,	PUNCT
ap-2078	253	34	it	it	PRON
ap-2078	253	35	shows	show	VERB
ap-2078	253	36	up	up	ADP
ap-2078	253	37	in	in	ADP
ap-2078	253	38	all	all	DET
ap-2078	253	39	cases	case	NOUN
ap-2078	253	40	in	in	ADP
ap-2078	253	41	a	a	DET
ap-2078	253	42	finite	finite	ADJ
ap-2078	253	43	neighborhood	neighborhood	NOUN
ap-2078	253	44	around	around	ADP
ap-2078	253	45	them	they	PRON
ap-2078	253	46	.	.	PUNCT
ap-2078	254	1	here	here	ADV
ap-2078	254	2	the	the	DET
ap-2078	254	3	rigidity	rigidity	NOUN
ap-2078	254	4	of	of	ADP
ap-2078	254	5	the	the	DET
ap-2078	254	6	phases	phase	NOUN
ap-2078	254	7	of	of	ADP
ap-2078	254	8	the	the	DET
ap-2078	254	9	two	two	NUM
ap-2078	254	10	eigenfunctions	eigenfunction	NOUN
ap-2078	254	11	relative	relative	ADJ
ap-2078	254	12	to	to	ADP
ap-2078	254	13	one	one	NOUN
ap-2078	254	14	another	another	PRON
ap-2078	254	15	is	be	AUX
ap-2078	254	16	reduced	reduce	VERB
ap-2078	254	17	(	(	PUNCT
ap-2078	254	18	ri	ri	X
ap-2078	254	19	<	<	X
ap-2078	254	20	1	1	NUM
ap-2078	254	21	)	)	PUNCT
ap-2078	254	22	and	and	CCONJ
ap-2078	254	23	an	an	DET
ap-2078	254	24	alignment	alignment	NOUN
ap-2078	254	25	of	of	ADP
ap-2078	254	26	one	one	NUM
ap-2078	254	27	of	of	ADP
ap-2078	254	28	the	the	DET
ap-2078	254	29	states	state	NOUN
ap-2078	254	30	to	to	ADP
ap-2078	254	31	the	the	DET
ap-2078	254	32	environment	environment	NOUN
ap-2078	254	33	is	be	AUX
ap-2078	254	34	possible	possible	ADJ
ap-2078	254	35	.	.	PUNCT
ap-2078	255	1	in	in	ADP
ap-2078	255	2	the	the	DET
ap-2078	255	3	parameter	parameter	NOUN
ap-2078	255	4	range	range	NOUN
ap-2078	255	5	between	between	ADP
ap-2078	255	6	the	the	DET
ap-2078	255	7	two	two	NUM
ap-2078	255	8	eps	ep	NOUN
ap-2078	255	9	,	,	PUNCT
ap-2078	255	10	the	the	DET
ap-2078	255	11	wavefunctions	wavefunction	NOUN
ap-2078	255	12	are	be	AUX
ap-2078	255	13	completely	completely	ADV
ap-2078	255	14	mixed	mixed	ADJ
ap-2078	255	15	(	(	PUNCT
ap-2078	255	16	1:1	1:1	NUM
ap-2078	255	17	)	)	PUNCT
ap-2078	255	18	as	as	SCONJ
ap-2078	255	19	can	can	AUX
ap-2078	255	20	be	be	AUX
ap-2078	255	21	seen	see	VERB
ap-2078	255	22	from	from	ADP
ap-2078	255	23	the	the	DET
ap-2078	255	24	numerical	numerical	ADJ
ap-2078	255	25	results	result	NOUN
ap-2078	255	26	shown	show	VERB
ap-2078	255	27	in	in	ADP
ap-2078	255	28	fig	fig	NOUN
ap-2078	255	29	.	.	PUNCT
ap-2078	256	1	1	1	X
ap-2078	256	2	.	.	X
ap-2078	256	3	summing	sum	VERB
ap-2078	256	4	up	up	ADP
ap-2078	256	5	the	the	DET
ap-2078	256	6	discussion	discussion	NOUN
ap-2078	256	7	we	we	PRON
ap-2078	256	8	state	state	VERB
ap-2078	256	9	the	the	DET
ap-2078	256	10	following	following	NOUN
ap-2078	256	11	.	.	PUNCT
ap-2078	257	1	the	the	DET
ap-2078	257	2	results	result	NOUN
ap-2078	257	3	obtained	obtain	VERB
ap-2078	257	4	by	by	ADP
ap-2078	257	5	studying	study	VERB
ap-2078	257	6	pt	pt	PRON
ap-2078	257	7	symmetric	symmetric	ADJ
ap-2078	257	8	optical	optical	ADJ
ap-2078	257	9	lattices	lattice	NOUN
ap-2078	257	10	as	as	ADV
ap-2078	257	11	well	well	ADV
ap-2078	257	12	as	as	ADP
ap-2078	257	13	those	those	PRON
ap-2078	257	14	received	receive	VERB
ap-2078	257	15	from	from	ADP
ap-2078	257	16	an	an	DET
ap-2078	257	17	investigation	investigation	NOUN
ap-2078	257	18	of	of	ADP
ap-2078	257	19	open	open	ADJ
ap-2078	257	20	quantum	quantum	NOUN
ap-2078	257	21	systems	system	NOUN
ap-2078	257	22	show	show	VERB
ap-2078	257	23	the	the	DET
ap-2078	257	24	characteristic	characteristic	ADJ
ap-2078	257	25	features	feature	NOUN
ap-2078	257	26	of	of	ADP
ap-2078	257	27	non	non	ADJ
ap-2078	257	28	-	-	ADJ
ap-2078	257	29	hermitian	hermitian	ADJ
ap-2078	257	30	quantum	quantum	ADJ
ap-2078	257	31	physics	physics	NOUN
ap-2078	257	32	.	.	PUNCT
ap-2078	258	1	they	they	PRON
ap-2078	258	2	prove	prove	VERB
ap-2078	258	3	environmentally	environmentally	ADV
ap-2078	258	4	induced	induced	ADJ
ap-2078	258	5	effects	effect	NOUN
ap-2078	258	6	that	that	PRON
ap-2078	258	7	can	can	AUX
ap-2078	258	8	not	not	PART
ap-2078	258	9	be	be	AUX
ap-2078	258	10	described	describe	VERB
ap-2078	258	11	convincingly	convincingly	ADV
ap-2078	258	12	in	in	ADP
ap-2078	258	13	conventional	conventional	ADJ
ap-2078	258	14	hermitian	hermitian	ADJ
ap-2078	258	15	quantum	quantum	ADJ
ap-2078	258	16	physics	physics	NOUN
ap-2078	258	17	.	.	PUNCT
ap-2078	259	1	due	due	ADP
ap-2078	259	2	to	to	ADP
ap-2078	259	3	the	the	DET
ap-2078	259	4	reduced	reduce	VERB
ap-2078	259	5	phase	phase	NOUN
ap-2078	259	6	rigidity	rigidity	NOUN
ap-2078	259	7	around	around	ADP
ap-2078	259	8	an	an	DET
ap-2078	259	9	ep	ep	NOUN
ap-2078	259	10	,	,	PUNCT
ap-2078	259	11	the	the	DET
ap-2078	259	12	system	system	NOUN
ap-2078	259	13	is	be	AUX
ap-2078	259	14	able	able	ADJ
ap-2078	259	15	to	to	PART
ap-2078	259	16	align	align	VERB
ap-2078	259	17	(	(	PUNCT
ap-2078	259	18	at	at	ADP
ap-2078	259	19	least	least	ADJ
ap-2078	259	20	partly	partly	ADV
ap-2078	259	21	)	)	PUNCT
ap-2078	259	22	with	with	ADP
ap-2078	259	23	the	the	DET
ap-2078	259	24	environment	environment	NOUN
ap-2078	259	25	.	.	PUNCT
ap-2078	260	1	this	this	PRON
ap-2078	260	2	can	can	AUX
ap-2078	260	3	be	be	AUX
ap-2078	260	4	seen	see	VERB
ap-2078	260	5	from	from	ADP
ap-2078	260	6	pt	pt	NOUN
ap-2078	260	7	symmetry	symmetry	NOUN
ap-2078	260	8	breaking	breaking	NOUN
ap-2078	260	9	occurring	occur	VERB
ap-2078	260	10	in	in	ADP
ap-2078	260	11	one	one	NUM
ap-2078	260	12	of	of	ADP
ap-2078	260	13	the	the	DET
ap-2078	260	14	considered	consider	VERB
ap-2078	260	15	systems	system	NOUN
ap-2078	260	16	as	as	ADV
ap-2078	260	17	well	well	ADV
ap-2078	260	18	as	as	ADP
ap-2078	260	19	from	from	ADP
ap-2078	260	20	the	the	DET
ap-2078	260	21	dynamical	dynamical	ADJ
ap-2078	260	22	phase	phase	NOUN
ap-2078	260	23	transition	transition	NOUN
ap-2078	260	24	taking	take	VERB
ap-2078	260	25	place	place	NOUN
ap-2078	260	26	at	at	ADP
ap-2078	260	27	high	high	ADJ
ap-2078	260	28	level	level	NOUN
ap-2078	260	29	density	density	NOUN
ap-2078	260	30	in	in	ADP
ap-2078	260	31	the	the	DET
ap-2078	260	32	other	other	ADJ
ap-2078	260	33	system	system	NOUN
ap-2078	260	34	.	.	PUNCT
ap-2078	261	1	references	reference	NOUN
ap-2078	261	2	[	[	X
ap-2078	261	3	1	1	NUM
ap-2078	261	4	]	]	X
ap-2078	261	5	bender	bender	NOUN
ap-2078	261	6	,	,	PUNCT
ap-2078	261	7	c.m	c.m	PROPN
ap-2078	261	8	.	.	PROPN
ap-2078	261	9	,	,	PUNCT
ap-2078	261	10	and	and	CCONJ
ap-2078	261	11	boettcher	boettcher	PROPN
ap-2078	261	12	,	,	PUNCT
ap-2078	261	13	s.	s.	PROPN
ap-2078	261	14	:	:	PUNCT
ap-2078	261	15	real	real	ADJ
ap-2078	261	16	spectra	spectra	NOUN
ap-2078	261	17	in	in	ADP
ap-2078	261	18	non	non	ADJ
ap-2078	261	19	-	-	ADJ
ap-2078	261	20	hermitian	hermitian	ADJ
ap-2078	261	21	hamiltonians	hamiltonian	NOUN
ap-2078	261	22	having	have	VERB
ap-2078	261	23	pt	pt	PROPN
ap-2078	261	24	symmetry	symmetry	NOUN
ap-2078	261	25	,	,	PUNCT
ap-2078	261	26	phys	phy	NOUN
ap-2078	261	27	.	.	PUNCT
ap-2078	262	1	rev	rev	PROPN
ap-2078	262	2	.	.	PROPN
ap-2078	262	3	lett	lett	PROPN
ap-2078	262	4	.	.	PROPN
ap-2078	263	1	80	80	NUM
ap-2078	263	2	(	(	PUNCT
ap-2078	263	3	1998	1998	NUM
ap-2078	263	4	)	)	PUNCT
ap-2078	263	5	5243	5243	NUM
ap-2078	263	6	-	-	SYM
ap-2078	263	7	5246	5246	NUM
ap-2078	263	8	[	[	X
ap-2078	263	9	2	2	NUM
ap-2078	263	10	]	]	X
ap-2078	263	11	bender	bender	NOUN
ap-2078	263	12	,	,	PUNCT
ap-2078	263	13	c.m	c.m	PROPN
ap-2078	263	14	.	.	PROPN
ap-2078	263	15	:	:	PUNCT
ap-2078	263	16	making	make	VERB
ap-2078	263	17	sense	sense	NOUN
ap-2078	263	18	of	of	ADP
ap-2078	263	19	non	non	ADJ
ap-2078	263	20	-	-	ADJ
ap-2078	263	21	hermitian	hermitian	ADJ
ap-2078	263	22	hamiltonians	hamiltonian	NOUN
ap-2078	263	23	,	,	PUNCT
ap-2078	263	24	rep	rep	PROPN
ap-2078	263	25	.	.	PROPN
ap-2078	263	26	progr	progr	NOUN
ap-2078	263	27	.	.	PUNCT
ap-2078	264	1	phys	phy	NOUN
ap-2078	264	2	.	.	PUNCT
ap-2078	265	1	70	70	NUM
ap-2078	265	2	(	(	PUNCT
ap-2078	265	3	2007	2007	NUM
ap-2078	265	4	)	)	PUNCT
ap-2078	265	5	947	947	NUM
ap-2078	265	6	-	-	SYM
ap-2078	265	7	1018	1018	NUM
ap-2078	265	8	[	[	X
ap-2078	265	9	3	3	NUM
ap-2078	265	10	]	]	X
ap-2078	265	11	special	special	ADJ
ap-2078	265	12	issue	issue	NOUN
ap-2078	265	13	quantum	quantum	NOUN
ap-2078	265	14	physics	physics	NOUN
ap-2078	265	15	with	with	ADP
ap-2078	265	16	non	non	ADJ
ap-2078	265	17	-	-	ADJ
ap-2078	265	18	hermitian	hermitian	ADJ
ap-2078	265	19	operators	operator	NOUN
ap-2078	265	20	,	,	PUNCT
ap-2078	265	21	j.	j.	PROPN
ap-2078	265	22	phys	phys	PROPN
ap-2078	265	23	.	.	PUNCT
ap-2078	266	1	a	a	DET
ap-2078	266	2	45	45	NUM
ap-2078	266	3	,	,	PUNCT
ap-2078	266	4	number	number	NOUN
ap-2078	266	5	44	44	NUM
ap-2078	266	6	(	(	PUNCT
ap-2078	266	7	november	november	PROPN
ap-2078	266	8	2012	2012	NUM
ap-2078	266	9	)	)	PUNCT
ap-2078	267	1	[	[	X
ap-2078	267	2	4	4	NUM
ap-2078	267	3	]	]	X
ap-2078	267	4	ruschhaupt	ruschhaupt	ADJ
ap-2078	267	5	,	,	PUNCT
ap-2078	267	6	a.	a.	NOUN
ap-2078	267	7	,	,	PUNCT
ap-2078	267	8	delgado	delgado	PROPN
ap-2078	267	9	,	,	PUNCT
ap-2078	267	10	f.	f.	PROPN
ap-2078	267	11	and	and	CCONJ
ap-2078	267	12	muga	muga	PROPN
ap-2078	267	13	,	,	PUNCT
ap-2078	267	14	j.g	j.g	PROPN
ap-2078	267	15	.	.	PROPN
ap-2078	267	16	:	:	PUNCT
ap-2078	268	1	physical	physical	ADJ
ap-2078	268	2	realization	realization	NOUN
ap-2078	268	3	of	of	ADP
ap-2078	268	4	pt	pt	X
ap-2078	268	5	symmetric	symmetric	ADJ
ap-2078	268	6	potential	potential	ADJ
ap-2078	268	7	scattering	scattering	NOUN
ap-2078	268	8	in	in	ADP
ap-2078	268	9	a	a	DET
ap-2078	268	10	planar	planar	ADJ
ap-2078	268	11	slab	slab	NOUN
ap-2078	268	12	waveguide	waveguide	NOUN
ap-2078	268	13	,	,	PUNCT
ap-2078	268	14	j.	j.	PROPN
ap-2078	268	15	phys	phys	PROPN
ap-2078	268	16	.	.	PUNCT
ap-2078	269	1	a	a	DET
ap-2078	269	2	38	38	NUM
ap-2078	269	3	(	(	PUNCT
ap-2078	269	4	2005	2005	NUM
ap-2078	269	5	)	)	PUNCT
ap-2078	269	6	l171	l171	PROPN
ap-2078	269	7	-	-	PUNCT
ap-2078	269	8	l176	l176	PROPN
ap-2078	269	9	;	;	PUNCT
ap-2078	269	10	el	el	PROPN
ap-2078	269	11	-	-	PUNCT
ap-2078	269	12	ganainy	ganainy	PROPN
ap-2078	269	13	,	,	PUNCT
ap-2078	269	14	r.	r.	PROPN
ap-2078	269	15	,	,	PUNCT
ap-2078	269	16	makris	makris	PROPN
ap-2078	269	17	,	,	PUNCT
ap-2078	269	18	k.g	k.g	PROPN
ap-2078	269	19	.	.	PROPN
ap-2078	269	20	,	,	PUNCT
ap-2078	269	21	christodoulides	christodoulide	NOUN
ap-2078	269	22	,	,	PUNCT
ap-2078	269	23	d.n	d.n	NOUN
ap-2078	269	24	.	.	PROPN
ap-2078	269	25	and	and	CCONJ
ap-2078	269	26	musslimani	musslimani	ADJ
ap-2078	269	27	,	,	PUNCT
ap-2078	269	28	z.h	z.h	PROPN
ap-2078	269	29	.	.	PROPN
ap-2078	269	30	:	:	PUNCT
ap-2078	269	31	theory	theory	NOUN
ap-2078	269	32	of	of	ADP
ap-2078	269	33	coupled	couple	VERB
ap-2078	269	34	optical	optical	ADJ
ap-2078	269	35	ptsymmetric	ptsymmetric	ADJ
ap-2078	269	36	structures	structure	NOUN
ap-2078	269	37	,	,	PUNCT
ap-2078	269	38	optics	optic	NOUN
ap-2078	269	39	lett	lett	NOUN
ap-2078	269	40	.	.	PUNCT
ap-2078	270	1	32	32	NUM
ap-2078	270	2	(	(	PUNCT
ap-2078	270	3	2007	2007	NUM
ap-2078	270	4	)	)	PUNCT
ap-2078	270	5	2632	2632	NUM
ap-2078	270	6	-	-	SYM
ap-2078	270	7	2634	2634	NUM
ap-2078	270	8	;	;	PUNCT
ap-2078	270	9	makris	makris	PROPN
ap-2078	270	10	,	,	PUNCT
ap-2078	270	11	k.g	k.g	PROPN
ap-2078	270	12	.	.	PROPN
ap-2078	270	13	,	,	PUNCT
ap-2078	270	14	el	el	PROPN
ap-2078	270	15	-	-	PUNCT
ap-2078	270	16	ganainy	ganainy	PROPN
ap-2078	270	17	,	,	PUNCT
ap-2078	270	18	r.	r.	PROPN
ap-2078	270	19	,	,	PUNCT
ap-2078	270	20	christodoulides	christodoulide	NOUN
ap-2078	270	21	,	,	PUNCT
ap-2078	270	22	d.n	d.n	NOUN
ap-2078	270	23	.	.	PROPN
ap-2078	270	24	and	and	CCONJ
ap-2078	270	25	musslimani	musslimani	ADJ
ap-2078	270	26	,	,	PUNCT
ap-2078	270	27	z.h	z.h	PROPN
ap-2078	270	28	.	.	PROPN
ap-2078	270	29	:	:	PUNCT
ap-2078	271	1	beam	beam	NOUN
ap-2078	271	2	dynamics	dynamic	NOUN
ap-2078	271	3	in	in	ADP
ap-2078	271	4	pt	pt	PROPN
ap-2078	271	5	symmetric	symmetric	ADJ
ap-2078	271	6	optical	optical	ADJ
ap-2078	271	7	lattices	lattice	NOUN
ap-2078	271	8	,	,	PUNCT
ap-2078	271	9	phys	phy	NOUN
ap-2078	271	10	.	.	PUNCT
ap-2078	272	1	rev	rev	PROPN
ap-2078	272	2	.	.	PROPN
ap-2078	272	3	lett	lett	PROPN
ap-2078	272	4	.	.	PROPN
ap-2078	273	1	100	100	NUM
ap-2078	273	2	(	(	PUNCT
ap-2078	273	3	2008	2008	NUM
ap-2078	273	4	)	)	PUNCT
ap-2078	273	5	103904	103904	NUM
ap-2078	273	6	(	(	PUNCT
ap-2078	273	7	4pp	4pp	PROPN
ap-2078	273	8	)	)	PUNCT
ap-2078	273	9	;	;	PUNCT
ap-2078	273	10	musslimani	musslimani	X
ap-2078	273	11	,	,	PUNCT
ap-2078	273	12	z.h	z.h	PROPN
ap-2078	273	13	.	.	PROPN
ap-2078	273	14	,	,	PUNCT
ap-2078	273	15	makris	makris	PROPN
ap-2078	273	16	,	,	PUNCT
ap-2078	273	17	k.g	k.g	PROPN
ap-2078	273	18	.	.	PROPN
ap-2078	273	19	,	,	PUNCT
ap-2078	273	20	el	el	PROPN
ap-2078	273	21	-	-	PUNCT
ap-2078	273	22	ganainy	ganainy	PROPN
ap-2078	273	23	,	,	PUNCT
ap-2078	273	24	r.	r.	PROPN
ap-2078	273	25	and	and	CCONJ
ap-2078	273	26	christodoulides	christodoulide	NOUN
ap-2078	273	27	,	,	PUNCT
ap-2078	273	28	d.n	d.n	PROPN
ap-2078	273	29	.	.	PROPN
ap-2078	273	30	:	:	PUNCT
ap-2078	273	31	optical	optical	ADJ
ap-2078	273	32	solitons	soliton	NOUN
ap-2078	273	33	in	in	ADP
ap-2078	273	34	pt	pt	PRON
ap-2078	273	35	periodic	periodic	ADJ
ap-2078	273	36	potentials	potential	NOUN
ap-2078	273	37	,	,	PUNCT
ap-2078	273	38	phys	phy	NOUN
ap-2078	273	39	.	.	PUNCT
ap-2078	274	1	rev	rev	PROPN
ap-2078	274	2	.	.	PROPN
ap-2078	274	3	lett	lett	PROPN
ap-2078	274	4	.	.	PROPN
ap-2078	275	1	100	100	NUM
ap-2078	275	2	(	(	PUNCT
ap-2078	275	3	2008	2008	NUM
ap-2078	275	4	)	)	PUNCT
ap-2078	275	5	030402	030402	NUM
ap-2078	276	1	(	(	PUNCT
ap-2078	276	2	4pp	4pp	NOUN
ap-2078	276	3	)	)	PUNCT
ap-2078	277	1	[	[	X
ap-2078	277	2	5	5	NUM
ap-2078	277	3	]	]	X
ap-2078	277	4	guo	guo	PROPN
ap-2078	277	5	,	,	PUNCT
ap-2078	277	6	a.	a.	PROPN
ap-2078	277	7	,	,	PUNCT
ap-2078	277	8	salamo	salamo	PROPN
ap-2078	277	9	,	,	PUNCT
ap-2078	277	10	g.j	g.j	PROPN
ap-2078	277	11	.	.	PROPN
ap-2078	277	12	,	,	PUNCT
ap-2078	277	13	duchesne	duchesne	PROPN
ap-2078	277	14	,	,	PUNCT
ap-2078	277	15	d.	d.	PROPN
ap-2078	277	16	,	,	PUNCT
ap-2078	277	17	morandotti	morandotti	PROPN
ap-2078	277	18	,	,	PUNCT
ap-2078	277	19	r.	r.	PROPN
ap-2078	277	20	,	,	PUNCT
ap-2078	277	21	volatier	volatier	NOUN
ap-2078	277	22	-	-	PUNCT
ap-2078	277	23	ravat	ravat	NOUN
ap-2078	277	24	,	,	PUNCT
ap-2078	277	25	m.	m.	NOUN
ap-2078	277	26	,	,	PUNCT
ap-2078	277	27	aimez	aimez	NOUN
ap-2078	277	28	,	,	PUNCT
ap-2078	277	29	v.	v.	ADV
ap-2078	277	30	,	,	PUNCT
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ap-2078	277	32	,	,	PUNCT
ap-2078	277	33	g.a	g.a	PROPN
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ap-2078	277	35	,	,	PUNCT
ap-2078	277	36	and	and	CCONJ
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ap-2078	277	38	,	,	PUNCT
ap-2078	277	39	d.n	d.n	PROPN
ap-2078	277	40	.	.	PROPN
ap-2078	277	41	:	:	PUNCT
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ap-2078	277	43	of	of	ADP
ap-2078	277	44	pt	pt	NOUN
ap-2078	277	45	-	-	PUNCT
ap-2078	277	46	symmetry	symmetry	NOUN
ap-2078	277	47	breaking	breaking	NOUN
ap-2078	277	48	in	in	ADP
ap-2078	277	49	complex	complex	ADJ
ap-2078	277	50	optical	optical	ADJ
ap-2078	277	51	potentials	potential	NOUN
ap-2078	277	52	,	,	PUNCT
ap-2078	277	53	phys	phy	NOUN
ap-2078	277	54	.	.	PUNCT
ap-2078	278	1	rev	rev	PROPN
ap-2078	278	2	.	.	PROPN
ap-2078	278	3	lett	lett	PROPN
ap-2078	278	4	.	.	PROPN
ap-2078	279	1	103	103	NUM
ap-2078	279	2	(	(	PUNCT
ap-2078	279	3	2009	2009	NUM
ap-2078	279	4	)	)	PUNCT
ap-2078	279	5	093902	093902	NUM
ap-2078	280	1	(	(	PUNCT
ap-2078	280	2	4pp	4pp	NOUN
ap-2078	280	3	)	)	PUNCT
ap-2078	281	1	[	[	X
ap-2078	281	2	6	6	NUM
ap-2078	281	3	]	]	PUNCT
ap-2078	281	4	rüter	rüter	NOUN
ap-2078	281	5	,	,	PUNCT
ap-2078	281	6	c.e	c.e	PROPN
ap-2078	281	7	.	.	PROPN
ap-2078	281	8	,	,	PUNCT
ap-2078	281	9	makris	makris	PROPN
ap-2078	281	10	,	,	PUNCT
ap-2078	281	11	g.	g.	PROPN
ap-2078	281	12	,	,	PUNCT
ap-2078	281	13	el	el	PROPN
ap-2078	281	14	-	-	PUNCT
ap-2078	281	15	ganainy	ganainy	PROPN
ap-2078	281	16	,	,	PUNCT
ap-2078	281	17	r.	r.	PROPN
ap-2078	281	18	,	,	PUNCT
ap-2078	281	19	christodoulides	christodoulide	NOUN
ap-2078	281	20	,	,	PUNCT
ap-2078	281	21	d.n	d.n	PROPN
ap-2078	281	22	.	.	PROPN
ap-2078	281	23	,	,	PUNCT
ap-2078	281	24	segev	segev	NOUN
ap-2078	281	25	,	,	PUNCT
ap-2078	281	26	m.	m.	NOUN
ap-2078	281	27	,	,	PUNCT
ap-2078	281	28	and	and	CCONJ
ap-2078	281	29	kip	kip	PROPN
ap-2078	281	30	,	,	PUNCT
ap-2078	281	31	d.	d.	NOUN
ap-2078	281	32	:	:	PUNCT
ap-2078	281	33	observation	observation	NOUN
ap-2078	281	34	of	of	ADP
ap-2078	281	35	parity	parity	NOUN
ap-2078	281	36	-	-	PUNCT
ap-2078	281	37	time	time	NOUN
ap-2078	281	38	symmetry	symmetry	NOUN
ap-2078	281	39	in	in	ADP
ap-2078	281	40	optics	optic	NOUN
ap-2078	281	41	,	,	PUNCT
ap-2078	281	42	nature	nature	NOUN
ap-2078	281	43	physics	physics	NOUN
ap-2078	281	44	6	6	NUM
ap-2078	281	45	(	(	PUNCT
ap-2078	281	46	2010	2010	NUM
ap-2078	281	47	)	)	PUNCT
ap-2078	281	48	192	192	NUM
ap-2078	281	49	-	-	SYM
ap-2078	281	50	195	195	NUM
ap-2078	281	51	[	[	X
ap-2078	281	52	7	7	NUM
ap-2078	281	53	]	]	X
ap-2078	281	54	kottos	kotto	NOUN
ap-2078	281	55	,	,	PUNCT
ap-2078	281	56	t.	t.	PROPN
ap-2078	281	57	:	:	PUNCT
ap-2078	281	58	broken	break	VERB
ap-2078	281	59	symmetry	symmetry	NOUN
ap-2078	281	60	makes	make	VERB
ap-2078	281	61	light	light	ADJ
ap-2078	281	62	work	work	NOUN
ap-2078	281	63	,	,	PUNCT
ap-2078	281	64	nature	nature	NOUN
ap-2078	281	65	physics	physics	NOUN
ap-2078	281	66	6	6	NUM
ap-2078	281	67	(	(	PUNCT
ap-2078	281	68	2010	2010	NUM
ap-2078	281	69	)	)	PUNCT
ap-2078	281	70	166	166	NUM
ap-2078	281	71	-	-	SYM
ap-2078	281	72	167	167	NUM
ap-2078	282	1	[	[	X
ap-2078	282	2	8	8	NUM
ap-2078	282	3	]	]	X
ap-2078	282	4	feshbach	feshbach	PROPN
ap-2078	282	5	,	,	PUNCT
ap-2078	282	6	h.	h.	PROPN
ap-2078	282	7	:	:	PUNCT
ap-2078	282	8	unified	unified	ADJ
ap-2078	282	9	theory	theory	NOUN
ap-2078	282	10	of	of	ADP
ap-2078	282	11	nuclear	nuclear	ADJ
ap-2078	282	12	reactions	reaction	NOUN
ap-2078	282	13	,	,	PUNCT
ap-2078	282	14	ann	ann	PROPN
ap-2078	282	15	.	.	PUNCT
ap-2078	283	1	phys	phys	PROPN
ap-2078	283	2	.	.	PUNCT
ap-2078	284	1	(	(	PUNCT
ap-2078	284	2	n.y	n.y	PROPN
ap-2078	284	3	.	.	PROPN
ap-2078	284	4	)	)	PUNCT
ap-2078	284	5	5	5	NUM
ap-2078	284	6	(	(	PUNCT
ap-2078	284	7	1958	1958	NUM
ap-2078	284	8	)	)	PUNCT
ap-2078	284	9	357	357	NUM
ap-2078	284	10	-	-	SYM
ap-2078	284	11	390	390	NUM
ap-2078	284	12	;	;	PUNCT
ap-2078	285	1	feshbach	feshbach	PROPN
ap-2078	285	2	,	,	PUNCT
ap-2078	285	3	h.	h.	PROPN
ap-2078	285	4	:	:	PUNCT
ap-2078	285	5	a	a	DET
ap-2078	285	6	unified	unified	ADJ
ap-2078	285	7	theory	theory	NOUN
ap-2078	285	8	of	of	ADP
ap-2078	285	9	nuclear	nuclear	ADJ
ap-2078	285	10	reactions	reaction	NOUN
ap-2078	285	11	.	.	PUNCT
ap-2078	286	1	ii	ii	PROPN
ap-2078	286	2	,	,	PUNCT
ap-2078	286	3	ann	ann	PROPN
ap-2078	286	4	.	.	PUNCT
ap-2078	287	1	phys	phys	PROPN
ap-2078	287	2	.	.	PUNCT
ap-2078	288	1	(	(	PUNCT
ap-2078	288	2	n.y	n.y	PROPN
ap-2078	288	3	.	.	PROPN
ap-2078	288	4	)	)	PUNCT
ap-2078	289	1	19	19	NUM
ap-2078	289	2	(	(	PUNCT
ap-2078	289	3	1962	1962	NUM
ap-2078	289	4	)	)	PUNCT
ap-2078	289	5	287	287	NUM
ap-2078	289	6	-	-	SYM
ap-2078	289	7	313	313	NUM
ap-2078	290	1	[	[	PUNCT
ap-2078	290	2	9	9	NUM
ap-2078	290	3	]	]	PUNCT
ap-2078	290	4	i.	i.	NOUN
ap-2078	290	5	rotter	rotter	NOUN
ap-2078	290	6	:	:	PUNCT
ap-2078	290	7	a	a	DET
ap-2078	290	8	continuum	continuum	ADJ
ap-2078	290	9	shell	shell	NOUN
ap-2078	290	10	model	model	NOUN
ap-2078	290	11	for	for	ADP
ap-2078	290	12	the	the	DET
ap-2078	290	13	open	open	ADJ
ap-2078	290	14	quantum	quantum	ADJ
ap-2078	290	15	mechanical	mechanical	ADJ
ap-2078	290	16	nuclear	nuclear	ADJ
ap-2078	290	17	system	system	NOUN
ap-2078	290	18	,	,	PUNCT
ap-2078	290	19	rep	rep	PROPN
ap-2078	290	20	.	.	PROPN
ap-2078	290	21	prog	prog	PROPN
ap-2078	290	22	.	.	PUNCT
ap-2078	291	1	phys	phy	NOUN
ap-2078	291	2	.	.	PUNCT
ap-2078	292	1	54	54	NUM
ap-2078	292	2	(	(	PUNCT
ap-2078	292	3	1991	1991	NUM
ap-2078	292	4	)	)	PUNCT
ap-2078	292	5	635	635	NUM
ap-2078	292	6	-	-	SYM
ap-2078	292	7	682	682	NUM
ap-2078	292	8	[	[	SYM
ap-2078	292	9	10	10	NUM
ap-2078	292	10	]	]	X
ap-2078	292	11	rotter	rotter	NOUN
ap-2078	292	12	,	,	PUNCT
ap-2078	292	13	i.	i.	NOUN
ap-2078	292	14	:	:	PUNCT
ap-2078	292	15	a	a	DET
ap-2078	292	16	non	non	ADJ
ap-2078	292	17	-	-	ADJ
ap-2078	292	18	hermitian	hermitian	ADJ
ap-2078	292	19	hamilton	hamilton	PROPN
ap-2078	292	20	operator	operator	NOUN
ap-2078	292	21	and	and	CCONJ
ap-2078	292	22	the	the	DET
ap-2078	292	23	physics	physics	NOUN
ap-2078	292	24	of	of	ADP
ap-2078	292	25	open	open	ADJ
ap-2078	292	26	quantum	quantum	NOUN
ap-2078	292	27	systems	system	NOUN
ap-2078	292	28	,	,	PUNCT
ap-2078	292	29	j.	j.	PROPN
ap-2078	292	30	phys	phys	PROPN
ap-2078	292	31	.	.	PUNCT
ap-2078	293	1	a	a	DET
ap-2078	293	2	42	42	NUM
ap-2078	293	3	(	(	PUNCT
ap-2078	293	4	2009	2009	NUM
ap-2078	293	5	)	)	PUNCT
ap-2078	293	6	153001	153001	NUM
ap-2078	293	7	(	(	PUNCT
ap-2078	293	8	51pp	51pp	ADJ
ap-2078	293	9	)	)	PUNCT
ap-2078	293	10	doi	doi	NOUN
ap-2078	293	11	:	:	PUNCT
ap-2078	293	12	10.1088/1751	10.1088/1751	NUM
ap-2078	293	13	-	-	PUNCT
ap-2078	293	14	8113/42/15/153001	8113/42/15/153001	PROPN
ap-2078	293	15	[	[	X
ap-2078	293	16	11	11	NUM
ap-2078	293	17	]	]	X
ap-2078	293	18	kato	kato	PROPN
ap-2078	293	19	,	,	PUNCT
ap-2078	293	20	t.	t.	PROPN
ap-2078	293	21	:	:	PUNCT
ap-2078	293	22	perturbation	perturbation	NOUN
ap-2078	293	23	theory	theory	NOUN
ap-2078	293	24	for	for	ADP
ap-2078	293	25	linear	linear	PROPN
ap-2078	293	26	operators	operator	NOUN
ap-2078	293	27	springer	springer	PROPN
ap-2078	293	28	berlin	berlin	PROPN
ap-2078	293	29	,	,	PUNCT
ap-2078	293	30	1966	1966	NUM
ap-2078	294	1	[	[	X
ap-2078	294	2	12	12	NUM
ap-2078	294	3	]	]	X
ap-2078	294	4	rotter	rotter	NOUN
ap-2078	294	5	,	,	PUNCT
ap-2078	294	6	i.	i.	NOUN
ap-2078	294	7	:	:	PUNCT
ap-2078	294	8	environmentally	environmentally	ADV
ap-2078	294	9	induced	induced	ADJ
ap-2078	294	10	effects	effect	NOUN
ap-2078	294	11	and	and	CCONJ
ap-2078	294	12	dynamical	dynamical	ADJ
ap-2078	294	13	phase	phase	NOUN
ap-2078	294	14	transitions	transition	NOUN
ap-2078	294	15	in	in	ADP
ap-2078	294	16	quantum	quantum	NOUN
ap-2078	294	17	systems	system	NOUN
ap-2078	294	18	,	,	PUNCT
ap-2078	294	19	j.	j.	PROPN
ap-2078	294	20	opt	opt	PROPN
ap-2078	294	21	.	.	PUNCT
ap-2078	295	1	12	12	NUM
ap-2078	295	2	(	(	PUNCT
ap-2078	295	3	2010	2010	NUM
ap-2078	295	4	)	)	PUNCT
ap-2078	295	5	065701	065701	NUM
ap-2078	295	6	(	(	PUNCT
ap-2078	295	7	9pp	9pp	ADJ
ap-2078	295	8	)	)	PUNCT
ap-2078	295	9	doi	doi	NOUN
ap-2078	295	10	:	:	PUNCT
ap-2078	295	11	10.1088/2040	10.1088/2040	NUM
ap-2078	295	12	-	-	SYM
ap-2078	295	13	8978/12/6/065701	8978/12/6/065701	NUM
ap-2078	296	1	[	[	X
ap-2078	296	2	13	13	NUM
ap-2078	296	3	]	]	PUNCT
ap-2078	296	4	landau	landau	NOUN
ap-2078	296	5	,	,	PUNCT
ap-2078	296	6	l.	l.	PROPN
ap-2078	296	7	,	,	PUNCT
ap-2078	296	8	physics	physics	PROPN
ap-2078	296	9	soviet	soviet	PROPN
ap-2078	296	10	union	union	PROPN
ap-2078	296	11	2	2	NUM
ap-2078	296	12	,	,	PUNCT
ap-2078	296	13	46	46	NUM
ap-2078	296	14	(	(	PUNCT
ap-2078	296	15	1932	1932	NUM
ap-2078	296	16	)	)	PUNCT
ap-2078	296	17	;	;	PUNCT
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ap-2078	296	19	,	,	PUNCT
ap-2078	296	20	c.	c.	NOUN
ap-2078	296	21	:	:	PUNCT
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ap-2078	296	23	-	-	ADJ
ap-2078	296	24	adiabatic	adiabatic	ADJ
ap-2078	296	25	crossing	crossing	NOUN
ap-2078	296	26	of	of	ADP
ap-2078	296	27	energy	energy	NOUN
ap-2078	296	28	levels	level	NOUN
ap-2078	296	29	,	,	PUNCT
ap-2078	296	30	proc	proc	NOUN
ap-2078	296	31	.	.	PUNCT
ap-2078	297	1	royal	royal	ADJ
ap-2078	297	2	soc	soc	PROPN
ap-2078	297	3	.	.	PUNCT
ap-2078	298	1	london	london	PROPN
ap-2078	298	2	,	,	PUNCT
ap-2078	298	3	series	serie	VERB
ap-2078	298	4	a	a	DET
ap-2078	298	5	137	137	NUM
ap-2078	298	6	(	(	PUNCT
ap-2078	298	7	1932	1932	NUM
ap-2078	298	8	)	)	PUNCT
ap-2078	298	9	696	696	NUM
ap-2078	298	10	-	-	SYM
ap-2078	298	11	702	702	NUM
ap-2078	298	12	[	[	NOUN
ap-2078	298	13	14	14	NUM
ap-2078	298	14	]	]	X
ap-2078	298	15	rotter	rotter	NOUN
ap-2078	298	16	,	,	PUNCT
ap-2078	298	17	i.	i.	NOUN
ap-2078	298	18	:	:	PUNCT
ap-2078	298	19	dynamical	dynamical	ADJ
ap-2078	298	20	stabilization	stabilization	NOUN
ap-2078	298	21	and	and	CCONJ
ap-2078	298	22	time	time	NOUN
ap-2078	298	23	in	in	ADP
ap-2078	298	24	open	open	ADJ
ap-2078	298	25	quantum	quantum	NOUN
ap-2078	298	26	systems	system	NOUN
ap-2078	298	27	,	,	PUNCT
ap-2078	298	28	contribution	contribution	NOUN
ap-2078	298	29	to	to	ADP
ap-2078	298	30	the	the	DET
ap-2078	298	31	special	special	ADJ
ap-2078	298	32	issue	issue	NOUN
ap-2078	298	33	quantum	quantum	NOUN
ap-2078	298	34	physics	physics	NOUN
ap-2078	298	35	with	with	ADP
ap-2078	298	36	non	non	ADJ
ap-2078	298	37	-	-	ADJ
ap-2078	298	38	hermitian	hermitian	ADJ
ap-2078	298	39	operators	operator	NOUN
ap-2078	298	40	:	:	PUNCT
ap-2078	298	41	theory	theory	NOUN
ap-2078	298	42	and	and	CCONJ
ap-2078	298	43	experiment	experiment	NOUN
ap-2078	298	44	,	,	PUNCT
ap-2078	298	45	fortschritte	fortschritte	PROPN
ap-2078	298	46	der	der	PROPN
ap-2078	298	47	physik	physik	PROPN
ap-2078	298	48	progress	progress	NOUN
ap-2078	298	49	of	of	ADP
ap-2078	298	50	physics	physics	NOUN
ap-2078	298	51	61	61	NUM
ap-2078	298	52	no	no	NOUN
ap-2078	298	53	.	.	NOUN
ap-2078	299	1	2	2	NUM
ap-2078	299	2	-	-	SYM
ap-2078	299	3	3	3	NUM
ap-2078	299	4	(	(	PUNCT
ap-2078	299	5	2013	2013	NUM
ap-2078	299	6	)	)	PUNCT
ap-2078	299	7	178	178	NUM
ap-2078	299	8	-	-	SYM
ap-2078	299	9	193	193	NUM
ap-2078	299	10	doi	doi	NOUN
ap-2078	299	11	:	:	PUNCT
ap-2078	299	12	10.1002	10.1002	NUM
ap-2078	299	13	/	/	SYM
ap-2078	299	14	prop.201200054	prop.201200054	PROPN
ap-2078	300	1	[	[	X
ap-2078	300	2	15	15	NUM
ap-2078	300	3	]	]	X
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ap-2078	300	6	m.	m.	NOUN
ap-2078	300	7	,	,	PUNCT
ap-2078	300	8	dittes	ditte	VERB
ap-2078	300	9	,	,	PUNCT
ap-2078	300	10	f.m	f.m	PROPN
ap-2078	300	11	.	.	PROPN
ap-2078	300	12	,	,	PUNCT
ap-2078	300	13	iskra	iskra	PROPN
ap-2078	300	14	,	,	PUNCT
ap-2078	300	15	w.	w.	PROPN
ap-2078	300	16	and	and	CCONJ
ap-2078	300	17	rotter	rotter	PROPN
ap-2078	300	18	,	,	PUNCT
ap-2078	300	19	i.	i.	NOUN
ap-2078	300	20	:	:	PUNCT
ap-2078	300	21	level	level	NOUN
ap-2078	300	22	repulsion	repulsion	NOUN
ap-2078	300	23	in	in	ADP
ap-2078	300	24	the	the	DET
ap-2078	300	25	complex	complex	ADJ
ap-2078	300	26	plane	plane	NOUN
ap-2078	300	27	,	,	PUNCT
ap-2078	300	28	phys	phy	NOUN
ap-2078	300	29	.	.	PUNCT
ap-2078	301	1	rev	rev	PROPN
ap-2078	301	2	.	.	PUNCT
ap-2078	302	1	e	e	PROPN
ap-2078	302	2	52	52	NUM
ap-2078	302	3	(	(	PUNCT
ap-2078	302	4	1995	1995	NUM
ap-2078	302	5	)	)	PUNCT
ap-2078	302	6	5961	5961	NUM
ap-2078	302	7	-	-	SYM
ap-2078	302	8	5973	5973	NUM
ap-2078	302	9	[	[	X
ap-2078	302	10	16	16	NUM
ap-2078	302	11	]	]	PUNCT
ap-2078	302	12	in	in	ADP
ap-2078	302	13	studies	study	NOUN
ap-2078	302	14	by	by	ADP
ap-2078	302	15	other	other	ADJ
ap-2078	302	16	researchers	researcher	NOUN
ap-2078	302	17	,	,	PUNCT
ap-2078	302	18	the	the	DET
ap-2078	302	19	factor	factor	NOUN
ap-2078	302	20	i	i	PRON
ap-2078	302	21	in	in	ADP
ap-2078	302	22	(	(	PUNCT
ap-2078	302	23	16	16	NUM
ap-2078	302	24	)	)	PUNCT
ap-2078	302	25	does	do	AUX
ap-2078	302	26	not	not	PART
ap-2078	302	27	appear	appear	VERB
ap-2078	302	28	.	.	PUNCT
ap-2078	303	1	this	this	DET
ap-2078	303	2	difference	difference	NOUN
ap-2078	303	3	is	be	AUX
ap-2078	303	4	discussed	discuss	VERB
ap-2078	303	5	in	in	ADP
ap-2078	303	6	detail	detail	NOUN
ap-2078	303	7	and	and	CCONJ
ap-2078	303	8	compared	compare	VERB
ap-2078	303	9	with	with	ADP
ap-2078	303	10	experimental	experimental	ADJ
ap-2078	303	11	data	datum	NOUN
ap-2078	303	12	in	in	ADP
ap-2078	303	13	the	the	DET
ap-2078	303	14	appendix	appendix	NOUN
ap-2078	303	15	of	of	ADP
ap-2078	303	16	[	[	X
ap-2078	303	17	14	14	NUM
ap-2078	303	18	]	]	PUNCT
ap-2078	303	19	and	and	CCONJ
ap-2078	303	20	in	in	ADP
ap-2078	303	21	section	section	NOUN
ap-2078	303	22	2.5	2.5	NUM
ap-2078	303	23	of	of	ADP
ap-2078	303	24	[	[	X
ap-2078	303	25	10	10	NUM
ap-2078	303	26	]	]	PUNCT
ap-2078	303	27	.	.	PUNCT
ap-2078	304	1	in	in	ADP
ap-2078	304	2	the	the	DET
ap-2078	304	3	present	present	ADJ
ap-2078	304	4	paper	paper	NOUN
ap-2078	304	5	,	,	PUNCT
ap-2078	304	6	the	the	DET
ap-2078	304	7	definitions	definition	NOUN
ap-2078	304	8	εi	εi	VERB
ap-2078	304	9	=	=	PUNCT
ap-2078	304	10	ei	ei	NOUN
ap-2078	305	1	+	+	CCONJ
ap-2078	305	2	i	i	VERB
ap-2078	305	3	2γi	2γi	VERB
ap-2078	305	4	and	and	CCONJ
ap-2078	306	1	ei	ei	X
ap-2078	306	2	=	=	PUNCT
ap-2078	306	3	ei	ei	X
ap-2078	307	1	+	+	CCONJ
ap-2078	307	2	i	i	NOUN
ap-2078	307	3	2	2	NUM
ap-2078	307	4	γi	γi	NOUN
ap-2078	307	5	(	(	PUNCT
ap-2078	307	6	with	with	ADP
ap-2078	307	7	γi	γi	INTJ
ap-2078	307	8	≤	≤	NUM
ap-2078	307	9	0	0	NUM
ap-2078	307	10	and	and	CCONJ
ap-2078	307	11	γi	γi	X
ap-2078	307	12	≤	≤	NUM
ap-2078	307	13	0	0	NUM
ap-2078	307	14	for	for	ADP
ap-2078	307	15	decaying	decay	VERB
ap-2078	307	16	states	state	NOUN
ap-2078	307	17	)	)	PUNCT
ap-2078	307	18	are	be	AUX
ap-2078	307	19	used	use	VERB
ap-2078	307	20	[	[	PUNCT
ap-2078	307	21	17	17	NUM
ap-2078	307	22	]	]	X
ap-2078	307	23	rotter	rotter	NOUN
ap-2078	307	24	,	,	PUNCT
ap-2078	307	25	i.	i.	NOUN
ap-2078	307	26	:	:	PUNCT
ap-2078	307	27	dynamics	dynamic	NOUN
ap-2078	307	28	of	of	ADP
ap-2078	307	29	quantum	quantum	NOUN
ap-2078	307	30	systems	system	NOUN
ap-2078	307	31	,	,	PUNCT
ap-2078	307	32	phys	phy	NOUN
ap-2078	307	33	.	.	PUNCT
ap-2078	308	1	rev	rev	PROPN
ap-2078	308	2	.	.	PUNCT
ap-2078	309	1	e	e	PROPN
ap-2078	309	2	64	64	NUM
ap-2078	309	3	(	(	PUNCT
ap-2078	309	4	2001	2001	NUM
ap-2078	309	5	)	)	PUNCT
ap-2078	309	6	036213	036213	NUM
ap-2078	309	7	(	(	PUNCT
ap-2078	309	8	12pp	12pp	NOUN
ap-2078	309	9	)	)	PUNCT
ap-2078	309	10	[	[	X
ap-2078	309	11	18	18	NUM
ap-2078	309	12	]	]	X
ap-2078	309	13	eleuch	eleuch	ADJ
ap-2078	309	14	,	,	PUNCT
ap-2078	309	15	h.	h.	NOUN
ap-2078	309	16	and	and	CCONJ
ap-2078	309	17	rotter	rotter	PROPN
ap-2078	309	18	,	,	PUNCT
ap-2078	309	19	i.	i.	NOUN
ap-2078	309	20	:	:	PUNCT
ap-2078	309	21	width	width	ADJ
ap-2078	309	22	bifurcation	bifurcation	NOUN
ap-2078	309	23	and	and	CCONJ
ap-2078	309	24	dynamical	dynamical	ADJ
ap-2078	309	25	phase	phase	NOUN
ap-2078	309	26	transitions	transition	NOUN
ap-2078	309	27	in	in	ADP
ap-2078	309	28	open	open	ADJ
ap-2078	309	29	quantum	quantum	NOUN
ap-2078	309	30	systems	system	NOUN
ap-2078	309	31	,	,	PUNCT
ap-2078	309	32	phys	phy	NOUN
ap-2078	309	33	.	.	PUNCT
ap-2078	310	1	rev	rev	PROPN
ap-2078	310	2	.	.	PUNCT
ap-2078	311	1	e	e	PROPN
ap-2078	311	2	87	87	NUM
ap-2078	311	3	(	(	PUNCT
ap-2078	311	4	2013	2013	NUM
ap-2078	311	5	)	)	PUNCT
ap-2078	311	6	052136	052136	NUM
ap-2078	311	7	(	(	PUNCT
ap-2078	311	8	15pp	15pp	NOUN
ap-2078	311	9	)	)	PUNCT
ap-2078	311	10	doi	doi	NOUN
ap-2078	311	11	:	:	PUNCT
ap-2078	311	12	10.1103	10.1103	NUM
ap-2078	311	13	/	/	SYM
ap-2078	311	14	physreve.87.052136	physreve.87.052136	NOUN
ap-2078	311	15	;	;	PUNCT
ap-2078	311	16	eleuch	eleuch	ADJ
ap-2078	311	17	,	,	PUNCT
ap-2078	311	18	h.	h.	NOUN
ap-2078	311	19	and	and	CCONJ
ap-2078	311	20	rotter	rotter	PROPN
ap-2078	311	21	,	,	PUNCT
ap-2078	311	22	i.	i.	NOUN
ap-2078	311	23	:	:	PUNCT
ap-2078	311	24	avoided	avoid	VERB
ap-2078	311	25	level	level	NOUN
ap-2078	311	26	crossings	crossing	NOUN
ap-2078	311	27	in	in	ADP
ap-2078	311	28	open	open	ADJ
ap-2078	311	29	quantum	quantum	NOUN
ap-2078	311	30	systems	system	NOUN
ap-2078	311	31	,	,	PUNCT
ap-2078	311	32	contribution	contribution	NOUN
ap-2078	311	33	to	to	ADP
ap-2078	311	34	the	the	DET
ap-2078	311	35	special	special	ADJ
ap-2078	311	36	issue	issue	NOUN
ap-2078	311	37	quantum	quantum	NOUN
ap-2078	311	38	physics	physics	NOUN
ap-2078	311	39	with	with	ADP
ap-2078	311	40	non	non	ADJ
ap-2078	311	41	-	-	ADJ
ap-2078	311	42	hermitian	hermitian	ADJ
ap-2078	311	43	operators	operator	NOUN
ap-2078	311	44	:	:	PUNCT
ap-2078	311	45	theory	theory	NOUN
ap-2078	311	46	and	and	CCONJ
ap-2078	311	47	experiment	experiment	NOUN
ap-2078	311	48	,	,	PUNCT
ap-2078	311	49	fortschritte	fortschritte	PROPN
ap-2078	311	50	der	der	PROPN
ap-2078	311	51	physik	physik	PROPN
ap-2078	311	52	progress	progress	NOUN
ap-2078	311	53	of	of	ADP
ap-2078	311	54	physics	physics	NOUN
ap-2078	311	55	61	61	NUM
ap-2078	311	56	no	no	NOUN
ap-2078	311	57	.	.	NOUN
ap-2078	312	1	2	2	NUM
ap-2078	312	2	-	-	SYM
ap-2078	312	3	3	3	NUM
ap-2078	312	4	(	(	PUNCT
ap-2078	312	5	2013	2013	NUM
ap-2078	312	6	)	)	PUNCT
ap-2078	312	7	194	194	NUM
ap-2078	312	8	-	-	SYM
ap-2078	312	9	204	204	NUM
ap-2078	312	10	doi	doi	NOUN
ap-2078	312	11	:	:	PUNCT
ap-2078	312	12	10.1002	10.1002	NUM
ap-2078	312	13	/	/	SYM
ap-2078	312	14	prop.201200062	prop.201200062	PRON
ap-2078	313	1	[	[	X
ap-2078	313	2	19	19	NUM
ap-2078	313	3	]	]	X
ap-2078	313	4	eleuch	eleuch	ADJ
ap-2078	313	5	,	,	PUNCT
ap-2078	313	6	h.	h.	NOUN
ap-2078	313	7	and	and	CCONJ
ap-2078	313	8	rotter	rotter	PROPN
ap-2078	313	9	,	,	PUNCT
ap-2078	313	10	i.	i.	NOUN
ap-2078	313	11	,	,	PUNCT
ap-2078	313	12	eur	eur	PROPN
ap-2078	313	13	.	.	PUNCT
ap-2078	314	1	phys	phy	NOUN
ap-2078	314	2	.	.	PUNCT
ap-2078	315	1	j.	j.	PROPN
ap-2078	316	1	d	d	PROPN
ap-2078	316	2	68	68	NUM
ap-2078	316	3	(	(	PUNCT
ap-2078	316	4	2014	2014	NUM
ap-2078	316	5	)	)	PUNCT
ap-2078	316	6	74	74	NUM
ap-2078	316	7	(	(	PUNCT
ap-2078	316	8	16pp	16pp	ADJ
ap-2078	316	9	)	)	PUNCT
ap-2078	316	10	doi	doi	NOUN
ap-2078	316	11	:	:	PUNCT
ap-2078	316	12	10.1140	10.1140	NUM
ap-2078	316	13	/	/	SYM
ap-2078	316	14	epjd	epjd	ADJ
ap-2078	316	15	/	/	SYM
ap-2078	316	16	e2014	e2014	NOUN
ap-2078	316	17	-	-	PUNCT
ap-2078	316	18	40780	40780	NUM
ap-2078	316	19	-	-	SYM
ap-2078	316	20	8	8	NUM
ap-2078	316	21	[	[	SYM
ap-2078	316	22	20	20	NUM
ap-2078	316	23	]	]	SYM
ap-2078	316	24	kottos	kotto	NOUN
ap-2078	316	25	,	,	PUNCT
ap-2078	316	26	t.	t.	PROPN
ap-2078	316	27	,	,	PUNCT
ap-2078	316	28	private	private	ADJ
ap-2078	316	29	communication	communication	NOUN
ap-2078	316	30	112	112	NUM
ap-2078	316	31	http://dx.doi.org/10.1088/1751-8113/42/15/153001	http://dx.doi.org/10.1088/1751-8113/42/15/153001	PRON
ap-2078	316	32	http://dx.doi.org/10.1088/2040-8978/12/6/065701	http://dx.doi.org/10.1088/2040-8978/12/6/065701	PROPN
ap-2078	316	33	http://dx.doi.org/10.1002/prop.201200054	http://dx.doi.org/10.1002/prop.201200054	NOUN
ap-2078	316	34	http://dx.doi.org/10.1103/physreve.87.052136	http://dx.doi.org/10.1103/physreve.87.052136	PROPN
ap-2078	316	35	http://dx.doi.org/10.1002/prop.201200062	http://dx.doi.org/10.1002/prop.201200062	X
ap-2078	316	36	http://dx.doi.org/10.1140/epjd/e2014-40780-8	http://dx.doi.org/10.1140/epjd/e2014-40780-8	VERB
ap-2078	316	37	acta	acta	PROPN
ap-2078	316	38	polytechnica	polytechnica	PROPN
ap-2078	316	39	54(2):106–112	54(2):106–112	PROPN
ap-2078	316	40	,	,	PUNCT
ap-2078	316	41	2014	2014	NUM
ap-2078	316	42	1	1	NUM
ap-2078	316	43	introduction	introduction	NOUN
ap-2078	316	44	2	2	NUM
ap-2078	316	45	exceptional	exceptional	ADJ
ap-2078	316	46	points	point	NOUN
ap-2078	316	47	in	in	ADP
ap-2078	316	48	an	an	DET
ap-2078	316	49	open	open	ADJ
ap-2078	316	50	quantum	quantum	NOUN
ap-2078	316	51	system	system	NOUN
ap-2078	316	52	3	3	NUM
ap-2078	316	53	exceptional	exceptional	ADJ
ap-2078	316	54	points	point	NOUN
ap-2078	316	55	in	in	ADP
ap-2078	316	56	pt	pt	PROPN
ap-2078	316	57	symmetric	symmetric	ADJ
ap-2078	316	58	systems	system	NOUN
ap-2078	316	59	4	4	NUM
ap-2078	316	60	discussion	discussion	NOUN
ap-2078	316	61	of	of	ADP
ap-2078	316	62	the	the	DET
ap-2078	316	63	results	result	NOUN
ap-2078	316	64	references	reference	NOUN