id	sid	tid	token	lemma	pos
ap-4423	1	1	acta	acta	PROPN
ap-4423	1	2	polytechnica	polytechnica	PROPN
ap-4423	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4423	1	4	/	/	PROPN
ap-4423	1	5	ap.2017.57.0454	ap.2017.57.0454	PROPN
ap-4423	1	6	acta	acta	PROPN
ap-4423	1	7	polytechnica	polytechnica	PROPN
ap-4423	1	8	57(6):454–461	57(6):454–461	PROPN
ap-4423	1	9	,	,	PUNCT
ap-4423	1	10	2017	2017	NUM
ap-4423	1	11	©	©	PROPN
ap-4423	1	12	czech	czech	PROPN
ap-4423	1	13	technical	technical	PROPN
ap-4423	1	14	university	university	PROPN
ap-4423	1	15	in	in	ADP
ap-4423	1	16	prague	prague	PROPN
ap-4423	1	17	,	,	PUNCT
ap-4423	1	18	2017	2017	NUM
ap-4423	1	19	available	available	ADJ
ap-4423	1	20	online	online	ADV
ap-4423	1	21	at	at	ADP
ap-4423	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4423	1	23	simple	simple	ADJ
ap-4423	1	24	models	model	NOUN
ap-4423	1	25	of	of	ADP
ap-4423	1	26	three	three	NUM
ap-4423	1	27	coupled	couple	VERB
ap-4423	1	28	pt	pt	NOUN
ap-4423	1	29	-symmetric	-symmetric	ADJ
ap-4423	1	30	wave	wave	NOUN
ap-4423	1	31	guides	guide	NOUN
ap-4423	1	32	allowing	allow	VERB
ap-4423	1	33	for	for	ADP
ap-4423	1	34	third	third	ADJ
ap-4423	1	35	-	-	PUNCT
ap-4423	1	36	order	order	NOUN
ap-4423	1	37	exceptional	exceptional	ADJ
ap-4423	1	38	points	point	NOUN
ap-4423	1	39	jan	jan	PROPN
ap-4423	1	40	schnabela	schnabela	PROPN
ap-4423	1	41	,	,	PUNCT
ap-4423	1	42	holger	holger	NOUN
ap-4423	1	43	cartariusa,∗	cartariusa,∗	PROPN
ap-4423	1	44	,	,	PUNCT
ap-4423	1	45	jörg	jörg	PROPN
ap-4423	1	46	maina	maina	PROPN
ap-4423	1	47	,	,	PUNCT
ap-4423	1	48	günter	günter	PROPN
ap-4423	1	49	wunnera	wunnera	PROPN
ap-4423	1	50	,	,	PUNCT
ap-4423	1	51	walter	walter	PROPN
ap-4423	1	52	dieter	dieter	PROPN
ap-4423	1	53	heissb	heissb	PROPN
ap-4423	1	54	,	,	PUNCT
ap-4423	1	55	c	c	PROPN
ap-4423	1	56	a	a	DET
ap-4423	1	57	1	1	NUM
ap-4423	1	58	.	.	PUNCT
ap-4423	2	1	institut	institut	PROPN
ap-4423	2	2	für	für	PROPN
ap-4423	2	3	theoretische	theoretische	PROPN
ap-4423	2	4	physik	physik	PROPN
ap-4423	2	5	,	,	PUNCT
ap-4423	2	6	universität	universität	PROPN
ap-4423	2	7	stuttgart	stuttgart	PROPN
ap-4423	2	8	,	,	PUNCT
ap-4423	2	9	70550	70550	NUM
ap-4423	2	10	stuttgart	stuttgart	PROPN
ap-4423	2	11	,	,	PUNCT
ap-4423	2	12	germany	germany	PROPN
ap-4423	2	13	b	b	PROPN
ap-4423	2	14	department	department	PROPN
ap-4423	2	15	of	of	ADP
ap-4423	2	16	physics	physics	PROPN
ap-4423	2	17	,	,	PUNCT
ap-4423	2	18	university	university	PROPN
ap-4423	2	19	of	of	ADP
ap-4423	2	20	stellenbosch	stellenbosch	PROPN
ap-4423	2	21	,	,	PUNCT
ap-4423	2	22	7602	7602	NUM
ap-4423	2	23	matieland	matieland	NOUN
ap-4423	2	24	,	,	PUNCT
ap-4423	2	25	south	south	PROPN
ap-4423	2	26	africa	africa	PROPN
ap-4423	2	27	c	c	PROPN
ap-4423	2	28	national	national	PROPN
ap-4423	2	29	institute	institute	PROPN
ap-4423	2	30	for	for	ADP
ap-4423	2	31	theoretical	theoretical	ADJ
ap-4423	2	32	physics	physics	NOUN
ap-4423	2	33	(	(	PUNCT
ap-4423	2	34	nithep	nithep	NOUN
ap-4423	2	35	)	)	PUNCT
ap-4423	2	36	,	,	PUNCT
ap-4423	2	37	western	western	ADJ
ap-4423	2	38	cape	cape	NOUN
ap-4423	2	39	,	,	PUNCT
ap-4423	2	40	south	south	PROPN
ap-4423	2	41	africa	africa	PROPN
ap-4423	2	42	∗	∗	VERB
ap-4423	2	43	corresponding	correspond	VERB
ap-4423	2	44	author	author	NOUN
ap-4423	2	45	:	:	PUNCT
ap-4423	2	46	holger.cartarius@itp1.uni-stuttgart.de	holger.cartarius@itp1.uni-stuttgart.de	ADJ
ap-4423	2	47	abstract	abstract	ADJ
ap-4423	2	48	.	.	PUNCT
ap-4423	3	1	we	we	PRON
ap-4423	3	2	study	study	VERB
ap-4423	3	3	theoretical	theoretical	ADJ
ap-4423	3	4	models	model	NOUN
ap-4423	3	5	of	of	ADP
ap-4423	3	6	three	three	NUM
ap-4423	3	7	coupled	couple	VERB
ap-4423	3	8	wave	wave	NOUN
ap-4423	3	9	guides	guide	NOUN
ap-4423	3	10	with	with	ADP
ap-4423	3	11	a	a	DET
ap-4423	3	12	pt	pt	NOUN
ap-4423	3	13	-symmetric	-symmetric	ADJ
ap-4423	3	14	distribution	distribution	NOUN
ap-4423	3	15	of	of	ADP
ap-4423	3	16	gain	gain	NOUN
ap-4423	3	17	and	and	CCONJ
ap-4423	3	18	loss	loss	NOUN
ap-4423	3	19	.	.	PUNCT
ap-4423	4	1	a	a	DET
ap-4423	4	2	realistic	realistic	ADJ
ap-4423	4	3	matrix	matrix	NOUN
ap-4423	4	4	model	model	NOUN
ap-4423	4	5	is	be	AUX
ap-4423	4	6	developed	develop	VERB
ap-4423	4	7	in	in	ADP
ap-4423	4	8	terms	term	NOUN
ap-4423	4	9	of	of	ADP
ap-4423	4	10	a	a	DET
ap-4423	4	11	three	three	NUM
ap-4423	4	12	-	-	PUNCT
ap-4423	4	13	mode	mode	NOUN
ap-4423	4	14	expansion	expansion	NOUN
ap-4423	4	15	.	.	PUNCT
ap-4423	5	1	by	by	ADP
ap-4423	5	2	comparing	compare	VERB
ap-4423	5	3	with	with	ADP
ap-4423	5	4	a	a	DET
ap-4423	5	5	previously	previously	ADV
ap-4423	5	6	postulated	postulate	VERB
ap-4423	5	7	matrix	matrix	NOUN
ap-4423	5	8	model	model	NOUN
ap-4423	5	9	it	it	PRON
ap-4423	5	10	is	be	AUX
ap-4423	5	11	shown	show	VERB
ap-4423	5	12	how	how	SCONJ
ap-4423	5	13	parameter	parameter	NOUN
ap-4423	5	14	ranges	range	VERB
ap-4423	5	15	with	with	ADP
ap-4423	5	16	good	good	ADJ
ap-4423	5	17	prospects	prospect	NOUN
ap-4423	5	18	of	of	ADP
ap-4423	5	19	finding	find	VERB
ap-4423	5	20	a	a	DET
ap-4423	5	21	third	third	ADJ
ap-4423	5	22	-	-	PUNCT
ap-4423	5	23	order	order	NOUN
ap-4423	5	24	exceptional	exceptional	ADJ
ap-4423	5	25	point	point	NOUN
ap-4423	5	26	(	(	PUNCT
ap-4423	5	27	ep3	ep3	NOUN
ap-4423	5	28	)	)	PUNCT
ap-4423	5	29	in	in	ADP
ap-4423	5	30	an	an	DET
ap-4423	5	31	experimentally	experimentally	ADV
ap-4423	5	32	feasible	feasible	ADJ
ap-4423	5	33	arrangement	arrangement	NOUN
ap-4423	5	34	of	of	ADP
ap-4423	5	35	semiconductors	semiconductor	NOUN
ap-4423	5	36	can	can	AUX
ap-4423	5	37	be	be	AUX
ap-4423	5	38	determined	determine	VERB
ap-4423	5	39	.	.	PUNCT
ap-4423	6	1	in	in	ADP
ap-4423	6	2	addition	addition	NOUN
ap-4423	6	3	it	it	PRON
ap-4423	6	4	is	be	AUX
ap-4423	6	5	demonstrated	demonstrate	VERB
ap-4423	6	6	that	that	SCONJ
ap-4423	6	7	continuous	continuous	ADJ
ap-4423	6	8	distributions	distribution	NOUN
ap-4423	6	9	of	of	ADP
ap-4423	6	10	exceptional	exceptional	ADJ
ap-4423	6	11	points	point	NOUN
ap-4423	6	12	,	,	PUNCT
ap-4423	6	13	which	which	PRON
ap-4423	6	14	render	render	VERB
ap-4423	6	15	the	the	DET
ap-4423	6	16	discovery	discovery	NOUN
ap-4423	6	17	of	of	ADP
ap-4423	6	18	the	the	DET
ap-4423	6	19	ep3	ep3	NOUN
ap-4423	6	20	difficult	difficult	ADJ
ap-4423	6	21	,	,	PUNCT
ap-4423	6	22	are	be	AUX
ap-4423	6	23	not	not	PART
ap-4423	6	24	only	only	ADV
ap-4423	6	25	a	a	DET
ap-4423	6	26	feature	feature	NOUN
ap-4423	6	27	of	of	ADP
ap-4423	6	28	extended	extended	ADJ
ap-4423	6	29	wave	wave	NOUN
ap-4423	6	30	guides	guide	NOUN
ap-4423	6	31	but	but	CCONJ
ap-4423	6	32	appear	appear	VERB
ap-4423	6	33	also	also	ADV
ap-4423	6	34	in	in	ADP
ap-4423	6	35	an	an	DET
ap-4423	6	36	idealised	idealised	ADJ
ap-4423	6	37	model	model	NOUN
ap-4423	6	38	of	of	ADP
ap-4423	6	39	infinitely	infinitely	ADV
ap-4423	6	40	thin	thin	ADJ
ap-4423	6	41	guides	guide	NOUN
ap-4423	6	42	shaped	shape	VERB
ap-4423	6	43	by	by	ADP
ap-4423	6	44	delta	delta	NOUN
ap-4423	6	45	functions	function	NOUN
ap-4423	6	46	.	.	PUNCT
ap-4423	7	1	keywords	keyword	NOUN
ap-4423	7	2	:	:	PUNCT
ap-4423	7	3	optical	optical	ADJ
ap-4423	7	4	wave	wave	NOUN
ap-4423	7	5	guides	guide	NOUN
ap-4423	7	6	;	;	PUNCT
ap-4423	7	7	third	third	ADJ
ap-4423	7	8	-	-	PUNCT
ap-4423	7	9	order	order	NOUN
ap-4423	7	10	exceptional	exceptional	ADJ
ap-4423	7	11	point	point	NOUN
ap-4423	7	12	;	;	PUNCT
ap-4423	7	13	matrix	matrix	NOUN
ap-4423	7	14	model	model	NOUN
ap-4423	7	15	.	.	PUNCT
ap-4423	8	1	1	1	X
ap-4423	8	2	.	.	X
ap-4423	8	3	introduction	introduction	NOUN
ap-4423	8	4	it	it	PRON
ap-4423	8	5	is	be	AUX
ap-4423	8	6	a	a	DET
ap-4423	8	7	well	well	ADV
ap-4423	8	8	-	-	PUNCT
ap-4423	8	9	known	know	VERB
ap-4423	8	10	fact	fact	NOUN
ap-4423	8	11	that	that	SCONJ
ap-4423	8	12	the	the	DET
ap-4423	8	13	spectra	spectra	NOUN
ap-4423	8	14	of	of	ADP
ap-4423	8	15	nonhermitian	nonhermitian	ADJ
ap-4423	8	16	quantum	quantum	NOUN
ap-4423	8	17	systems	system	NOUN
ap-4423	8	18	can	can	AUX
ap-4423	8	19	exhibit	exhibit	VERB
ap-4423	8	20	exceptional	exceptional	ADJ
ap-4423	8	21	points	point	NOUN
ap-4423	8	22	of	of	ADP
ap-4423	8	23	second	second	ADJ
ap-4423	8	24	order	order	NOUN
ap-4423	8	25	(	(	PUNCT
ap-4423	8	26	ep2	ep2	PROPN
ap-4423	8	27	)	)	PUNCT
ap-4423	8	28	,	,	PUNCT
ap-4423	8	29	i.e.	i.e.	X
ap-4423	8	30	branch	branch	NOUN
ap-4423	8	31	point	point	NOUN
ap-4423	8	32	singularities	singularity	NOUN
ap-4423	8	33	at	at	ADP
ap-4423	8	34	which	which	PRON
ap-4423	8	35	two	two	NUM
ap-4423	8	36	eigenstates	eigenstate	NOUN
ap-4423	8	37	coalesce	coalesce	NOUN
ap-4423	9	1	[	[	X
ap-4423	9	2	1–3	1–3	NOUN
ap-4423	9	3	]	]	X
ap-4423	9	4	.	.	PUNCT
ap-4423	10	1	they	they	PRON
ap-4423	10	2	have	have	AUX
ap-4423	10	3	been	be	AUX
ap-4423	10	4	extensively	extensively	ADV
ap-4423	10	5	studied	study	VERB
ap-4423	10	6	theoretically	theoretically	ADV
ap-4423	10	7	[	[	X
ap-4423	10	8	4–17	4–17	X
ap-4423	10	9	]	]	X
ap-4423	10	10	and	and	CCONJ
ap-4423	10	11	their	their	PRON
ap-4423	10	12	physical	physical	ADJ
ap-4423	10	13	relevance	relevance	NOUN
ap-4423	10	14	has	have	AUX
ap-4423	10	15	been	be	AUX
ap-4423	10	16	demonstrated	demonstrate	VERB
ap-4423	10	17	in	in	ADP
ap-4423	10	18	impressive	impressive	ADJ
ap-4423	10	19	experiments	experiment	NOUN
ap-4423	11	1	[	[	X
ap-4423	11	2	18–26	18–26	NUM
ap-4423	11	3	]	]	PUNCT
ap-4423	11	4	.	.	PUNCT
ap-4423	12	1	in	in	ADP
ap-4423	12	2	much	much	ADV
ap-4423	12	3	rarer	rare	ADJ
ap-4423	12	4	cases	case	NOUN
ap-4423	12	5	exceptional	exceptional	ADJ
ap-4423	12	6	points	point	NOUN
ap-4423	12	7	of	of	ADP
ap-4423	12	8	higher	high	ADJ
ap-4423	12	9	order	order	NOUN
ap-4423	12	10	(	(	PUNCT
ap-4423	12	11	epn	epn	PROPN
ap-4423	12	12	)	)	PUNCT
ap-4423	12	13	are	be	AUX
ap-4423	12	14	discussed	discuss	VERB
ap-4423	12	15	[	[	X
ap-4423	12	16	27–30	27–30	NUM
ap-4423	12	17	]	]	PUNCT
ap-4423	12	18	.	.	PUNCT
ap-4423	13	1	in	in	ADP
ap-4423	13	2	a	a	DET
ap-4423	13	3	matrix	matrix	NOUN
ap-4423	13	4	representation	representation	NOUN
ap-4423	13	5	they	they	PRON
ap-4423	13	6	can	can	AUX
ap-4423	13	7	be	be	AUX
ap-4423	13	8	identified	identify	VERB
ap-4423	13	9	by	by	ADP
ap-4423	13	10	the	the	DET
ap-4423	13	11	fact	fact	NOUN
ap-4423	13	12	that	that	SCONJ
ap-4423	13	13	the	the	DET
ap-4423	13	14	matrix	matrix	NOUN
ap-4423	13	15	is	be	AUX
ap-4423	13	16	not	not	PART
ap-4423	13	17	diagonalisable	diagonalisable	ADJ
ap-4423	13	18	.	.	PUNCT
ap-4423	14	1	with	with	ADP
ap-4423	14	2	a	a	DET
ap-4423	14	3	similarity	similarity	NOUN
ap-4423	14	4	transformation	transformation	NOUN
ap-4423	14	5	one	one	PRON
ap-4423	14	6	can	can	AUX
ap-4423	14	7	reduce	reduce	VERB
ap-4423	14	8	the	the	DET
ap-4423	14	9	matrix	matrix	NOUN
ap-4423	14	10	to	to	ADP
ap-4423	14	11	a	a	DET
ap-4423	14	12	jordan	jordan	PROPN
ap-4423	14	13	normal	normal	ADJ
ap-4423	14	14	form	form	NOUN
ap-4423	14	15	,	,	PUNCT
ap-4423	14	16	where	where	SCONJ
ap-4423	14	17	the	the	DET
ap-4423	14	18	epn	epn	PROPN
ap-4423	14	19	appears	appear	VERB
ap-4423	14	20	as	as	ADP
ap-4423	14	21	an	an	DET
ap-4423	14	22	n	n	CCONJ
ap-4423	14	23	-dimensional	-dimensional	ADJ
ap-4423	14	24	jordan	jordan	PROPN
ap-4423	14	25	block	block	NOUN
ap-4423	14	26	[	[	X
ap-4423	14	27	31	31	NUM
ap-4423	14	28	]	]	PUNCT
ap-4423	14	29	.	.	PUNCT
ap-4423	15	1	in	in	ADP
ap-4423	15	2	a	a	DET
ap-4423	15	3	third	third	ADJ
ap-4423	15	4	-	-	PUNCT
ap-4423	15	5	order	order	NOUN
ap-4423	15	6	exceptional	exceptional	ADJ
ap-4423	15	7	point	point	NOUN
ap-4423	15	8	(	(	PUNCT
ap-4423	15	9	ep3	ep3	NOUN
ap-4423	15	10	)	)	PUNCT
ap-4423	15	11	three	three	NUM
ap-4423	15	12	states	state	NOUN
ap-4423	15	13	coalesce	coalesce	VERB
ap-4423	15	14	in	in	ADP
ap-4423	15	15	a	a	DET
ap-4423	15	16	cubicroot	cubicroot	ADJ
ap-4423	15	17	branch	branch	NOUN
ap-4423	15	18	point	point	NOUN
ap-4423	15	19	singularity	singularity	NOUN
ap-4423	15	20	,	,	PUNCT
ap-4423	15	21	which	which	PRON
ap-4423	15	22	already	already	ADV
ap-4423	15	23	turned	turn	VERB
ap-4423	15	24	out	out	ADP
ap-4423	15	25	to	to	PART
ap-4423	15	26	exhibit	exhibit	VERB
ap-4423	15	27	new	new	ADJ
ap-4423	15	28	effects	effect	NOUN
ap-4423	15	29	beyond	beyond	ADP
ap-4423	15	30	those	those	PRON
ap-4423	15	31	of	of	ADP
ap-4423	15	32	ep2s	ep2	NOUN
ap-4423	15	33	such	such	ADJ
ap-4423	15	34	as	as	ADP
ap-4423	15	35	an	an	DET
ap-4423	15	36	unusual	unusual	ADJ
ap-4423	15	37	chiral	chiral	ADJ
ap-4423	15	38	behaviour	behaviour	NOUN
ap-4423	15	39	[	[	X
ap-4423	15	40	28	28	NUM
ap-4423	15	41	]	]	PUNCT
ap-4423	15	42	.	.	PUNCT
ap-4423	16	1	the	the	DET
ap-4423	16	2	exchange	exchange	NOUN
ap-4423	16	3	behaviour	behaviour	NOUN
ap-4423	16	4	of	of	ADP
ap-4423	16	5	the	the	DET
ap-4423	16	6	eigenstates	eigenstate	NOUN
ap-4423	16	7	for	for	ADP
ap-4423	16	8	circles	circle	NOUN
ap-4423	16	9	around	around	ADP
ap-4423	16	10	an	an	DET
ap-4423	16	11	ep3	ep3	NOUN
ap-4423	16	12	shows	show	VERB
ap-4423	16	13	a	a	DET
ap-4423	16	14	complicated	complicated	ADJ
ap-4423	16	15	structure	structure	NOUN
ap-4423	16	16	.	.	PUNCT
ap-4423	17	1	it	it	PRON
ap-4423	17	2	does	do	AUX
ap-4423	17	3	not	not	PART
ap-4423	17	4	in	in	ADP
ap-4423	17	5	all	all	DET
ap-4423	17	6	cases	case	NOUN
ap-4423	17	7	uncover	uncover	VERB
ap-4423	17	8	the	the	DET
ap-4423	17	9	typical	typical	ADJ
ap-4423	17	10	cubic	cubic	ADJ
ap-4423	17	11	-	-	PUNCT
ap-4423	17	12	root	root	NOUN
ap-4423	17	13	behaviour	behaviour	NOUN
ap-4423	17	14	[	[	X
ap-4423	17	15	29	29	NUM
ap-4423	17	16	,	,	PUNCT
ap-4423	17	17	32	32	NUM
ap-4423	17	18	]	]	PUNCT
ap-4423	17	19	.	.	PUNCT
ap-4423	18	1	of	of	ADP
ap-4423	18	2	special	special	ADJ
ap-4423	18	3	interest	interest	NOUN
ap-4423	18	4	in	in	ADP
ap-4423	18	5	the	the	DET
ap-4423	18	6	investigation	investigation	NOUN
ap-4423	18	7	of	of	ADP
ap-4423	18	8	exceptional	exceptional	ADJ
ap-4423	18	9	points	point	NOUN
ap-4423	18	10	are	be	AUX
ap-4423	18	11	pt	pt	X
ap-4423	18	12	-symmetric	-symmetric	ADJ
ap-4423	18	13	systems	system	NOUN
ap-4423	18	14	,	,	PUNCT
ap-4423	18	15	i.e.	i.e.	X
ap-4423	18	16	systems	system	NOUN
ap-4423	18	17	whose	whose	DET
ap-4423	18	18	hamiltonians	hamiltonian	NOUN
ap-4423	18	19	are	be	AUX
ap-4423	18	20	invariant	invariant	ADJ
ap-4423	18	21	under	under	ADP
ap-4423	18	22	the	the	DET
ap-4423	18	23	combined	combine	VERB
ap-4423	18	24	action	action	NOUN
ap-4423	18	25	of	of	ADP
ap-4423	18	26	the	the	DET
ap-4423	18	27	parity	parity	NOUN
ap-4423	18	28	operator	operator	NOUN
ap-4423	18	29	p	p	NOUN
ap-4423	18	30	and	and	CCONJ
ap-4423	18	31	the	the	DET
ap-4423	18	32	time	time	NOUN
ap-4423	18	33	reversal	reversal	NOUN
ap-4423	18	34	operator	operator	NOUN
ap-4423	18	35	t	t	PROPN
ap-4423	19	1	[	[	X
ap-4423	19	2	33	33	NUM
ap-4423	19	3	]	]	PUNCT
ap-4423	19	4	.	.	PUNCT
ap-4423	20	1	in	in	ADP
ap-4423	20	2	these	these	DET
ap-4423	20	3	systems	system	NOUN
ap-4423	20	4	the	the	DET
ap-4423	20	5	exceptional	exceptional	ADJ
ap-4423	20	6	point	point	NOUN
ap-4423	20	7	marks	mark	VERB
ap-4423	20	8	a	a	DET
ap-4423	20	9	quantum	quantum	NOUN
ap-4423	20	10	phase	phase	NOUN
ap-4423	20	11	transition	transition	NOUN
ap-4423	20	12	,	,	PUNCT
ap-4423	20	13	in	in	ADP
ap-4423	20	14	which	which	PRON
ap-4423	20	15	real	real	ADJ
ap-4423	20	16	eigenvalues	eigenvalue	VERB
ap-4423	20	17	merge	merge	VERB
ap-4423	20	18	under	under	ADP
ap-4423	20	19	variation	variation	NOUN
ap-4423	20	20	of	of	ADP
ap-4423	20	21	a	a	DET
ap-4423	20	22	parameter	parameter	NOUN
ap-4423	20	23	and	and	CCONJ
ap-4423	20	24	become	become	VERB
ap-4423	20	25	complex	complex	ADJ
ap-4423	20	26	if	if	SCONJ
ap-4423	20	27	the	the	DET
ap-4423	20	28	parameter	parameter	NOUN
ap-4423	20	29	is	be	AUX
ap-4423	20	30	varied	varied	ADJ
ap-4423	20	31	further	far	ADV
ap-4423	20	32	in	in	ADP
ap-4423	20	33	the	the	DET
ap-4423	20	34	same	same	ADJ
ap-4423	20	35	direction	direction	NOUN
ap-4423	20	36	.	.	PUNCT
ap-4423	21	1	the	the	DET
ap-4423	21	2	eigenstates	eigenstate	NOUN
ap-4423	21	3	of	of	ADP
ap-4423	21	4	the	the	DET
ap-4423	21	5	complex	complex	ADJ
ap-4423	21	6	eigenvalues	eigenvalue	NOUN
ap-4423	21	7	are	be	AUX
ap-4423	21	8	not	not	PART
ap-4423	21	9	pt	pt	NOUN
ap-4423	21	10	symmetric	symmetric	NOUN
ap-4423	21	11	,	,	PUNCT
ap-4423	21	12	this	this	PRON
ap-4423	21	13	is	be	AUX
ap-4423	21	14	only	only	ADV
ap-4423	21	15	the	the	DET
ap-4423	21	16	case	case	NOUN
ap-4423	21	17	for	for	ADP
ap-4423	21	18	the	the	DET
ap-4423	21	19	eigenstates	eigenstate	NOUN
ap-4423	21	20	with	with	ADP
ap-4423	21	21	real	real	ADJ
ap-4423	21	22	eigenvalues	eigenvalue	NOUN
ap-4423	21	23	.	.	PUNCT
ap-4423	22	1	one	one	NUM
ap-4423	22	2	speaks	speak	VERB
ap-4423	22	3	of	of	ADP
ap-4423	22	4	broken	break	VERB
ap-4423	22	5	pt	pt	NOUN
ap-4423	22	6	symmetry	symmetry	NOUN
ap-4423	22	7	,	,	PUNCT
ap-4423	22	8	and	and	CCONJ
ap-4423	22	9	the	the	DET
ap-4423	22	10	ep	ep	PROPN
ap-4423	22	11	marks	mark	VERB
ap-4423	22	12	the	the	DET
ap-4423	22	13	position	position	NOUN
ap-4423	22	14	of	of	ADP
ap-4423	22	15	the	the	DET
ap-4423	22	16	pt	pt	PROPN
ap-4423	22	17	symmetry	symmetry	NOUN
ap-4423	22	18	breaking	breaking	NOUN
ap-4423	22	19	.	.	PUNCT
ap-4423	23	1	since	since	SCONJ
ap-4423	23	2	the	the	DET
ap-4423	23	3	occurrence	occurrence	NOUN
ap-4423	23	4	of	of	ADP
ap-4423	23	5	exceptional	exceptional	ADJ
ap-4423	23	6	points	point	NOUN
ap-4423	23	7	is	be	AUX
ap-4423	23	8	a	a	DET
ap-4423	23	9	generic	generic	ADJ
ap-4423	23	10	feature	feature	NOUN
ap-4423	23	11	of	of	ADP
ap-4423	23	12	the	the	DET
ap-4423	23	13	pt	pt	NOUN
ap-4423	23	14	phase	phase	NOUN
ap-4423	23	15	transition	transition	NOUN
ap-4423	23	16	a	a	DET
ap-4423	23	17	large	large	ADJ
ap-4423	23	18	number	number	NOUN
ap-4423	23	19	of	of	ADP
ap-4423	23	20	works	work	NOUN
ap-4423	23	21	exists	exist	VERB
ap-4423	23	22	for	for	ADP
ap-4423	23	23	pt	pt	X
ap-4423	23	24	-symmetric	-symmetric	ADJ
ap-4423	23	25	quantum	quantum	ADJ
ap-4423	23	26	mechanics	mechanic	NOUN
ap-4423	23	27	[	[	X
ap-4423	23	28	27	27	NUM
ap-4423	23	29	,	,	PUNCT
ap-4423	23	30	34	34	NUM
ap-4423	23	31	–	–	SYM
ap-4423	23	32	49	49	NUM
ap-4423	23	33	]	]	PUNCT
ap-4423	23	34	,	,	PUNCT
ap-4423	23	35	quantum	quantum	ADJ
ap-4423	23	36	field	field	NOUN
ap-4423	23	37	theories	theory	NOUN
ap-4423	23	38	[	[	X
ap-4423	23	39	50	50	NUM
ap-4423	23	40	,	,	PUNCT
ap-4423	23	41	51	51	NUM
ap-4423	23	42	]	]	PUNCT
ap-4423	23	43	,	,	PUNCT
ap-4423	23	44	electromagnetic	electromagnetic	ADJ
ap-4423	23	45	waves	wave	NOUN
ap-4423	23	46	[	[	X
ap-4423	23	47	52–58	52–58	NUM
ap-4423	23	48	]	]	PUNCT
ap-4423	23	49	,	,	PUNCT
ap-4423	23	50	and	and	CCONJ
ap-4423	23	51	electronic	electronic	ADJ
ap-4423	23	52	devices	device	NOUN
ap-4423	23	53	[	[	X
ap-4423	23	54	59	59	NUM
ap-4423	23	55	]	]	PUNCT
ap-4423	23	56	.	.	PUNCT
ap-4423	24	1	in	in	ADP
ap-4423	24	2	these	these	DET
ap-4423	24	3	papers	paper	NOUN
ap-4423	24	4	exceptional	exceptional	ADJ
ap-4423	24	5	points	point	NOUN
ap-4423	24	6	of	of	ADP
ap-4423	24	7	second	second	ADJ
ap-4423	24	8	order	order	NOUN
ap-4423	24	9	have	have	AUX
ap-4423	24	10	been	be	AUX
ap-4423	24	11	investigated	investigate	VERB
ap-4423	24	12	in	in	ADP
ap-4423	24	13	great	great	ADJ
ap-4423	24	14	detail	detail	NOUN
ap-4423	24	15	.	.	PUNCT
ap-4423	25	1	pt	pt	X
ap-4423	25	2	-symmetric	-symmetric	ADJ
ap-4423	25	3	optical	optical	ADJ
ap-4423	25	4	wave	wave	NOUN
ap-4423	25	5	guides	guide	NOUN
ap-4423	25	6	,	,	PUNCT
ap-4423	25	7	in	in	ADP
ap-4423	25	8	particular	particular	ADJ
ap-4423	25	9	,	,	PUNCT
ap-4423	25	10	with	with	ADP
ap-4423	25	11	an	an	DET
ap-4423	25	12	appropriate	appropriate	ADJ
ap-4423	25	13	coupling	coupling	NOUN
ap-4423	25	14	between	between	ADP
ap-4423	25	15	them	they	PRON
ap-4423	25	16	,	,	PUNCT
ap-4423	25	17	are	be	AUX
ap-4423	25	18	ideally	ideally	ADV
ap-4423	25	19	suited	suited	ADJ
ap-4423	25	20	to	to	PART
ap-4423	25	21	generate	generate	VERB
ap-4423	25	22	higher	high	ADJ
ap-4423	25	23	-	-	PUNCT
ap-4423	25	24	order	order	NOUN
ap-4423	25	25	exceptional	exceptional	ADJ
ap-4423	25	26	points	point	NOUN
ap-4423	26	1	[	[	X
ap-4423	26	2	29	29	NUM
ap-4423	26	3	]	]	PUNCT
ap-4423	26	4	.	.	PUNCT
ap-4423	27	1	three	three	NUM
ap-4423	27	2	coupled	couple	VERB
ap-4423	27	3	wave	wave	NOUN
ap-4423	27	4	guides	guide	NOUN
ap-4423	27	5	have	have	AUX
ap-4423	27	6	already	already	ADV
ap-4423	27	7	been	be	AUX
ap-4423	27	8	used	use	VERB
ap-4423	27	9	to	to	PART
ap-4423	27	10	theoretically	theoretically	ADV
ap-4423	27	11	investigate	investigate	VERB
ap-4423	27	12	the	the	DET
ap-4423	27	13	influence	influence	NOUN
ap-4423	27	14	of	of	ADP
ap-4423	27	15	loss	loss	NOUN
ap-4423	27	16	on	on	ADP
ap-4423	27	17	a	a	DET
ap-4423	27	18	stirap	stirap	NOUN
ap-4423	27	19	procedure	procedure	NOUN
ap-4423	28	1	[	[	X
ap-4423	28	2	60	60	NUM
ap-4423	28	3	]	]	PUNCT
ap-4423	28	4	.	.	PUNCT
ap-4423	29	1	klaiman	klaiman	PROPN
ap-4423	29	2	et	et	PROPN
ap-4423	29	3	al	al	PROPN
ap-4423	29	4	.	.	PUNCT
ap-4423	30	1	[	[	X
ap-4423	30	2	61	61	NUM
ap-4423	30	3	]	]	PUNCT
ap-4423	30	4	showed	show	VERB
ap-4423	30	5	that	that	SCONJ
ap-4423	30	6	a	a	DET
ap-4423	30	7	detailed	detailed	ADJ
ap-4423	30	8	theoretical	theoretical	ADJ
ap-4423	30	9	modelling	modelling	NOUN
ap-4423	30	10	of	of	ADP
ap-4423	30	11	a	a	DET
ap-4423	30	12	setup	setup	NOUN
ap-4423	30	13	of	of	ADP
ap-4423	30	14	two	two	NUM
ap-4423	30	15	wave	wave	NOUN
ap-4423	30	16	guides	guide	NOUN
ap-4423	30	17	predicts	predict	VERB
ap-4423	30	18	the	the	DET
ap-4423	30	19	occurrence	occurrence	NOUN
ap-4423	30	20	of	of	ADP
ap-4423	30	21	an	an	DET
ap-4423	30	22	ep2	ep2	NOUN
ap-4423	30	23	,	,	PUNCT
ap-4423	30	24	and	and	CCONJ
ap-4423	30	25	directly	directly	ADV
ap-4423	30	26	proved	prove	VERB
ap-4423	30	27	it	it	PRON
ap-4423	30	28	via	via	ADP
ap-4423	30	29	its	its	PRON
ap-4423	30	30	signatures	signature	NOUN
ap-4423	30	31	,	,	PUNCT
ap-4423	30	32	among	among	ADP
ap-4423	30	33	them	they	PRON
ap-4423	30	34	an	an	DET
ap-4423	30	35	increasing	increase	VERB
ap-4423	30	36	beat	beat	NOUN
ap-4423	30	37	length	length	NOUN
ap-4423	30	38	in	in	ADP
ap-4423	30	39	the	the	DET
ap-4423	30	40	power	power	NOUN
ap-4423	30	41	distribution	distribution	NOUN
ap-4423	30	42	.	.	PUNCT
ap-4423	31	1	exactly	exactly	ADV
ap-4423	31	2	this	this	DET
ap-4423	31	3	strategy	strategy	NOUN
ap-4423	31	4	has	have	AUX
ap-4423	31	5	later	later	ADV
ap-4423	31	6	been	be	AUX
ap-4423	31	7	used	use	VERB
ap-4423	31	8	experimentally	experimentally	ADV
ap-4423	31	9	[	[	X
ap-4423	31	10	62	62	NUM
ap-4423	31	11	]	]	PUNCT
ap-4423	31	12	.	.	PUNCT
ap-4423	32	1	encouraged	encourage	VERB
ap-4423	32	2	by	by	ADP
ap-4423	32	3	these	these	DET
ap-4423	32	4	findings	finding	NOUN
ap-4423	32	5	the	the	DET
ap-4423	32	6	model	model	NOUN
ap-4423	32	7	was	be	AUX
ap-4423	32	8	extended	extend	VERB
ap-4423	32	9	by	by	ADP
ap-4423	32	10	heiss	heiss	PROPN
ap-4423	32	11	and	and	CCONJ
ap-4423	32	12	wunner	wunner	NOUN
ap-4423	32	13	,	,	PUNCT
ap-4423	32	14	who	who	PRON
ap-4423	32	15	added	add	VERB
ap-4423	32	16	a	a	DET
ap-4423	32	17	third	third	ADJ
ap-4423	32	18	wave	wave	NOUN
ap-4423	32	19	guide	guide	NOUN
ap-4423	32	20	between	between	ADP
ap-4423	32	21	those	those	PRON
ap-4423	32	22	with	with	ADP
ap-4423	32	23	gain	gain	NOUN
ap-4423	32	24	and	and	CCONJ
ap-4423	32	25	loss	loss	NOUN
ap-4423	32	26	to	to	PART
ap-4423	32	27	allow	allow	VERB
ap-4423	32	28	for	for	ADP
ap-4423	32	29	a	a	DET
ap-4423	32	30	third	third	ADJ
ap-4423	32	31	-	-	PUNCT
ap-4423	32	32	order	order	NOUN
ap-4423	32	33	exceptional	exceptional	ADJ
ap-4423	32	34	point	point	NOUN
ap-4423	32	35	.	.	PUNCT
ap-4423	33	1	they	they	PRON
ap-4423	33	2	studied	study	VERB
ap-4423	33	3	a	a	DET
ap-4423	33	4	simplified	simplified	ADJ
ap-4423	33	5	model	model	NOUN
ap-4423	33	6	consisting	consist	VERB
ap-4423	33	7	of	of	ADP
ap-4423	33	8	infinitely	infinitely	ADV
ap-4423	33	9	thin	thin	ADJ
ap-4423	33	10	wave	wave	NOUN
ap-4423	33	11	guides	guide	NOUN
ap-4423	33	12	modelled	model	VERB
ap-4423	33	13	by	by	ADP
ap-4423	33	14	delta	delta	NOUN
ap-4423	33	15	functions	function	NOUN
ap-4423	33	16	[	[	X
ap-4423	33	17	30	30	NUM
ap-4423	33	18	]	]	PUNCT
ap-4423	33	19	.	.	PUNCT
ap-4423	34	1	in	in	ADP
ap-4423	34	2	a	a	DET
ap-4423	34	3	follow	follow	VERB
ap-4423	34	4	-	-	PUNCT
ap-4423	34	5	up	up	NOUN
ap-4423	34	6	paper	paper	NOUN
ap-4423	34	7	a	a	DET
ap-4423	34	8	detailed	detailed	ADJ
ap-4423	34	9	investigation	investigation	NOUN
ap-4423	34	10	of	of	ADP
ap-4423	34	11	a	a	DET
ap-4423	34	12	spatially	spatially	ADV
ap-4423	34	13	extended	extend	VERB
ap-4423	34	14	setup	setup	NOUN
ap-4423	34	15	with	with	ADP
ap-4423	34	16	experimentally	experimentally	ADV
ap-4423	34	17	accessible	accessible	ADJ
ap-4423	34	18	parameters	parameter	NOUN
ap-4423	34	19	was	be	AUX
ap-4423	34	20	used	use	VERB
ap-4423	34	21	[	[	PUNCT
ap-4423	34	22	63	63	NUM
ap-4423	34	23	]	]	PUNCT
ap-4423	34	24	.	.	PUNCT
ap-4423	35	1	it	it	PRON
ap-4423	35	2	was	be	AUX
ap-4423	35	3	shown	show	VERB
ap-4423	35	4	that	that	SCONJ
ap-4423	35	5	the	the	DET
ap-4423	35	6	system	system	NOUN
ap-4423	35	7	is	be	AUX
ap-4423	35	8	well	well	ADV
ap-4423	35	9	capable	capable	ADJ
ap-4423	35	10	of	of	ADP
ap-4423	35	11	manifesting	manifest	VERB
ap-4423	35	12	a	a	DET
ap-4423	35	13	third	third	ADJ
ap-4423	35	14	-	-	PUNCT
ap-4423	35	15	order	order	NOUN
ap-4423	35	16	exceptional	exceptional	ADJ
ap-4423	35	17	point	point	NOUN
ap-4423	35	18	in	in	ADP
ap-4423	35	19	an	an	DET
ap-4423	35	20	experimentally	experimentally	ADV
ap-4423	35	21	feasible	feasible	ADJ
ap-4423	35	22	procedure	procedure	NOUN
ap-4423	35	23	.	.	PUNCT
ap-4423	36	1	the	the	DET
ap-4423	36	2	purpose	purpose	NOUN
ap-4423	36	3	of	of	ADP
ap-4423	36	4	this	this	DET
ap-4423	36	5	paper	paper	NOUN
ap-4423	36	6	is	be	AUX
ap-4423	36	7	to	to	PART
ap-4423	36	8	show	show	VERB
ap-4423	36	9	that	that	SCONJ
ap-4423	36	10	the	the	DET
ap-4423	36	11	essential	essential	ADJ
ap-4423	36	12	properties	property	NOUN
ap-4423	36	13	of	of	ADP
ap-4423	36	14	the	the	DET
ap-4423	36	15	system	system	NOUN
ap-4423	36	16	studied	study	VERB
ap-4423	36	17	in	in	ADP
ap-4423	36	18	[	[	X
ap-4423	36	19	63	63	NUM
ap-4423	36	20	]	]	PUNCT
ap-4423	36	21	can	can	AUX
ap-4423	36	22	already	already	ADV
ap-4423	36	23	be	be	AUX
ap-4423	36	24	found	find	VERB
ap-4423	36	25	in	in	ADP
ap-4423	36	26	much	much	ADV
ap-4423	36	27	simpler	simple	ADJ
ap-4423	36	28	descriptions	description	NOUN
ap-4423	36	29	,	,	PUNCT
ap-4423	36	30	allowing	allow	VERB
ap-4423	36	31	for	for	ADP
ap-4423	36	32	deeper	deep	ADJ
ap-4423	36	33	insight	insight	NOUN
ap-4423	36	34	.	.	PUNCT
ap-4423	37	1	the	the	DET
ap-4423	37	2	whole	whole	ADJ
ap-4423	37	3	three	three	NUM
ap-4423	37	4	wave	wave	NOUN
ap-4423	37	5	-	-	PUNCT
ap-4423	37	6	guide	guide	NOUN
ap-4423	37	7	setup	setup	NOUN
ap-4423	37	8	can	can	AUX
ap-4423	37	9	be	be	AUX
ap-4423	37	10	mapped	map	VERB
ap-4423	37	11	to	to	ADP
ap-4423	37	12	a	a	DET
ap-4423	37	13	matrix	matrix	NOUN
ap-4423	37	14	model	model	NOUN
ap-4423	37	15	.	.	PUNCT
ap-4423	38	1	in	in	ADP
ap-4423	38	2	such	such	DET
ap-4423	38	3	a	a	DET
ap-4423	38	4	matrix	matrix	NOUN
ap-4423	38	5	model	model	NOUN
ap-4423	38	6	an	an	DET
ap-4423	38	7	ep3	ep3	NOUN
ap-4423	38	8	can	can	AUX
ap-4423	38	9	be	be	AUX
ap-4423	38	10	found	find	VERB
ap-4423	38	11	in	in	ADP
ap-4423	38	12	a	a	DET
ap-4423	38	13	simple	simple	ADJ
ap-4423	38	14	manner	manner	NOUN
ap-4423	38	15	.	.	PUNCT
ap-4423	39	1	however	however	ADV
ap-4423	39	2	,	,	PUNCT
ap-4423	39	3	the	the	DET
ap-4423	39	4	largest	large	ADJ
ap-4423	39	5	benefit	benefit	NOUN
ap-4423	39	6	is	be	AUX
ap-4423	39	7	in	in	ADP
ap-4423	39	8	the	the	DET
ap-4423	39	9	predictability	predictability	NOUN
ap-4423	39	10	454	454	NUM
ap-4423	39	11	http://dx.doi.org/10.14311/ap.2017.57.0454	http://dx.doi.org/10.14311/ap.2017.57.0454	NOUN
ap-4423	39	12	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4423	39	13	vol	vol	NOUN
ap-4423	39	14	.	.	PUNCT
ap-4423	40	1	57	57	NUM
ap-4423	41	1	no	no	NOUN
ap-4423	41	2	.	.	PUNCT
ap-4423	42	1	6/2017	6/2017	NUM
ap-4423	42	2	simple	simple	ADJ
ap-4423	42	3	models	model	NOUN
ap-4423	42	4	of	of	ADP
ap-4423	42	5	three	three	NUM
ap-4423	42	6	coupled	couple	VERB
ap-4423	42	7	pt	pt	NOUN
ap-4423	42	8	-symmetric	-symmetric	ADJ
ap-4423	42	9	wave	wave	NOUN
ap-4423	42	10	guides	guide	NOUN
ap-4423	42	11	figure	figure	VERB
ap-4423	42	12	1	1	NUM
ap-4423	42	13	.	.	PUNCT
ap-4423	42	14	pt	pt	NOUN
ap-4423	42	15	-symmetric	-symmetric	ADJ
ap-4423	42	16	wave	wave	NOUN
ap-4423	42	17	guide	guide	NOUN
ap-4423	42	18	setup	setup	NOUN
ap-4423	42	19	allowing	allow	VERB
ap-4423	42	20	for	for	ADP
ap-4423	42	21	the	the	DET
ap-4423	42	22	occurrence	occurrence	NOUN
ap-4423	42	23	of	of	ADP
ap-4423	42	24	an	an	DET
ap-4423	42	25	ep3	ep3	NOUN
ap-4423	42	26	.	.	PUNCT
ap-4423	43	1	three	three	NUM
ap-4423	43	2	coupled	couple	VERB
ap-4423	43	3	slab	slab	NOUN
ap-4423	43	4	wave	wave	NOUN
ap-4423	43	5	guides	guide	NOUN
ap-4423	43	6	are	be	AUX
ap-4423	43	7	formed	form	VERB
ap-4423	43	8	on	on	ADP
ap-4423	43	9	a	a	DET
ap-4423	43	10	background	background	NOUN
ap-4423	43	11	material	material	NOUN
ap-4423	43	12	with	with	ADP
ap-4423	43	13	refractive	refractive	ADJ
ap-4423	43	14	index	index	NOUN
ap-4423	43	15	n0	n0	X
ap-4423	43	16	=	=	NOUN
ap-4423	43	17	3.3	3.3	NUM
ap-4423	43	18	of	of	ADP
ap-4423	43	19	gaas	gaas	PROPN
ap-4423	43	20	via	via	ADP
ap-4423	43	21	an	an	DET
ap-4423	43	22	index	index	NOUN
ap-4423	43	23	variation	variation	NOUN
ap-4423	43	24	of	of	ADP
ap-4423	43	25	∆n	∆n	NOUN
ap-4423	43	26	=	=	SYM
ap-4423	43	27	1.3×	1.3×	NUM
ap-4423	43	28	10−3	10−3	NUM
ap-4423	43	29	.	.	PUNCT
ap-4423	44	1	the	the	DET
ap-4423	44	2	middle	middle	ADJ
ap-4423	44	3	wave	wave	NOUN
ap-4423	44	4	guide	guide	NOUN
ap-4423	44	5	can	can	AUX
ap-4423	44	6	exhibit	exhibit	VERB
ap-4423	44	7	an	an	DET
ap-4423	44	8	additional	additional	ADJ
ap-4423	44	9	index	index	NOUN
ap-4423	44	10	shift	shift	NOUN
ap-4423	44	11	given	give	VERB
ap-4423	44	12	by	by	ADP
ap-4423	44	13	the	the	DET
ap-4423	44	14	value	value	NOUN
ap-4423	44	15	of	of	ADP
ap-4423	44	16	nm	nm	NOUN
ap-4423	44	17	.	.	PUNCT
ap-4423	45	1	a	a	DET
ap-4423	45	2	gain	gain	NOUN
ap-4423	45	3	-	-	PUNCT
ap-4423	45	4	loss	loss	NOUN
ap-4423	45	5	profile	profile	NOUN
ap-4423	45	6	is	be	AUX
ap-4423	45	7	introduced	introduce	VERB
ap-4423	45	8	via	via	ADP
ap-4423	45	9	the	the	DET
ap-4423	45	10	imaginary	imaginary	ADJ
ap-4423	45	11	refractive	refractive	ADJ
ap-4423	45	12	index	index	NOUN
ap-4423	45	13	part	part	NOUN
ap-4423	45	14	γ	γ	PROPN
ap-4423	45	15	.	.	PUNCT
ap-4423	46	1	all	all	DET
ap-4423	46	2	distances	distance	NOUN
ap-4423	46	3	are	be	AUX
ap-4423	46	4	measured	measure	VERB
ap-4423	46	5	in	in	ADP
ap-4423	46	6	terms	term	NOUN
ap-4423	46	7	of	of	ADP
ap-4423	46	8	a	a	DET
ap-4423	46	9	constant	constant	ADJ
ap-4423	46	10	length	length	NOUN
ap-4423	46	11	scale	scale	NOUN
ap-4423	46	12	a	a	DET
ap-4423	46	13	=	=	SYM
ap-4423	46	14	2.5	2.5	NUM
ap-4423	46	15	µm	µm	NOUN
ap-4423	46	16	via	via	ADP
ap-4423	46	17	the	the	DET
ap-4423	46	18	dimensionless	dimensionless	NOUN
ap-4423	46	19	parameters	parameter	NOUN
ap-4423	46	20	sm	sm	PROPN
ap-4423	46	21	and	and	CCONJ
ap-4423	46	22	s1,2	s1,2	PROPN
ap-4423	46	23	.	.	PUNCT
ap-4423	47	1	the	the	DET
ap-4423	47	2	variation	variation	NOUN
ap-4423	47	3	of	of	ADP
ap-4423	47	4	the	the	DET
ap-4423	47	5	refractive	refractive	ADJ
ap-4423	47	6	index	index	NOUN
ap-4423	47	7	is	be	AUX
ap-4423	47	8	only	only	ADV
ap-4423	47	9	in	in	ADP
ap-4423	47	10	x	x	PART
ap-4423	47	11	direction	direction	NOUN
ap-4423	47	12	and	and	CCONJ
ap-4423	47	13	obeys	obey	VERB
ap-4423	47	14	pt	pt	PROPN
ap-4423	47	15	symmetry	symmetry	NOUN
ap-4423	47	16	.	.	PUNCT
ap-4423	48	1	of	of	ADP
ap-4423	48	2	matrix	matrix	NOUN
ap-4423	48	3	structures	structure	NOUN
ap-4423	48	4	allowing	allow	VERB
ap-4423	48	5	for	for	ADP
ap-4423	48	6	an	an	DET
ap-4423	48	7	easy	easy	ADJ
ap-4423	48	8	access	access	NOUN
ap-4423	48	9	to	to	ADP
ap-4423	48	10	an	an	DET
ap-4423	48	11	ep3	ep3	NOUN
ap-4423	48	12	.	.	PUNCT
ap-4423	49	1	since	since	SCONJ
ap-4423	49	2	the	the	DET
ap-4423	49	3	influence	influence	NOUN
ap-4423	49	4	of	of	ADP
ap-4423	49	5	the	the	DET
ap-4423	49	6	physical	physical	ADJ
ap-4423	49	7	parameters	parameter	NOUN
ap-4423	49	8	on	on	ADP
ap-4423	49	9	the	the	DET
ap-4423	49	10	matrix	matrix	NOUN
ap-4423	49	11	elements	element	NOUN
ap-4423	49	12	is	be	AUX
ap-4423	49	13	known	know	VERB
ap-4423	49	14	from	from	ADP
ap-4423	49	15	the	the	DET
ap-4423	49	16	mapping	mapping	NOUN
ap-4423	49	17	,	,	PUNCT
ap-4423	49	18	the	the	DET
ap-4423	49	19	matrix	matrix	NOUN
ap-4423	49	20	can	can	AUX
ap-4423	49	21	guide	guide	VERB
ap-4423	49	22	the	the	DET
ap-4423	49	23	search	search	NOUN
ap-4423	49	24	for	for	ADP
ap-4423	49	25	appropriate	appropriate	ADJ
ap-4423	49	26	physical	physical	ADJ
ap-4423	49	27	parameter	parameter	NOUN
ap-4423	49	28	ranges	range	NOUN
ap-4423	49	29	.	.	PUNCT
ap-4423	50	1	in	in	ADP
ap-4423	50	2	[	[	X
ap-4423	50	3	63	63	NUM
ap-4423	50	4	]	]	PUNCT
ap-4423	50	5	it	it	PRON
ap-4423	50	6	was	be	AUX
ap-4423	50	7	demonstrated	demonstrate	VERB
ap-4423	50	8	that	that	SCONJ
ap-4423	50	9	the	the	DET
ap-4423	50	10	ep3	ep3	PROPN
ap-4423	50	11	of	of	ADP
ap-4423	50	12	interest	interest	NOUN
ap-4423	50	13	is	be	AUX
ap-4423	50	14	surrounded	surround	VERB
ap-4423	50	15	by	by	ADP
ap-4423	50	16	continuous	continuous	ADJ
ap-4423	50	17	distributions	distribution	NOUN
ap-4423	50	18	of	of	ADP
ap-4423	50	19	ep2s	ep2	NOUN
ap-4423	50	20	or	or	CCONJ
ap-4423	50	21	ep3s	ep3s	PROPN
ap-4423	50	22	in	in	ADP
ap-4423	50	23	the	the	DET
ap-4423	50	24	space	space	NOUN
ap-4423	50	25	of	of	ADP
ap-4423	50	26	the	the	DET
ap-4423	50	27	physical	physical	ADJ
ap-4423	50	28	parameters	parameter	NOUN
ap-4423	50	29	.	.	PUNCT
ap-4423	51	1	this	this	DET
ap-4423	51	2	effect	effect	NOUN
ap-4423	51	3	in	in	ADP
ap-4423	51	4	combination	combination	NOUN
ap-4423	51	5	with	with	ADP
ap-4423	51	6	the	the	DET
ap-4423	51	7	fact	fact	NOUN
ap-4423	51	8	that	that	SCONJ
ap-4423	51	9	an	an	DET
ap-4423	51	10	ep3	ep3	NOUN
ap-4423	51	11	can	can	AUX
ap-4423	51	12	show	show	VERB
ap-4423	51	13	a	a	DET
ap-4423	51	14	square	square	ADJ
ap-4423	51	15	-	-	PUNCT
ap-4423	51	16	root	root	NOUN
ap-4423	51	17	behaviour	behaviour	NOUN
ap-4423	51	18	for	for	ADP
ap-4423	51	19	parameter	parameter	NOUN
ap-4423	51	20	space	space	NOUN
ap-4423	51	21	circles	circle	NOUN
ap-4423	51	22	[	[	X
ap-4423	51	23	29	29	NUM
ap-4423	51	24	,	,	PUNCT
ap-4423	51	25	32	32	NUM
ap-4423	51	26	]	]	PUNCT
ap-4423	51	27	renders	render	VERB
ap-4423	51	28	its	its	PRON
ap-4423	51	29	identification	identification	NOUN
ap-4423	51	30	difficult	difficult	ADJ
ap-4423	51	31	.	.	PUNCT
ap-4423	52	1	in	in	ADP
ap-4423	52	2	this	this	DET
ap-4423	52	3	paper	paper	NOUN
ap-4423	52	4	we	we	PRON
ap-4423	52	5	show	show	VERB
ap-4423	52	6	that	that	SCONJ
ap-4423	52	7	this	this	DET
ap-4423	52	8	difficulty	difficulty	NOUN
ap-4423	52	9	can	can	AUX
ap-4423	52	10	be	be	AUX
ap-4423	52	11	studied	study	VERB
ap-4423	52	12	in	in	ADP
ap-4423	52	13	the	the	DET
ap-4423	52	14	much	much	ADV
ap-4423	52	15	simpler	simple	ADJ
ap-4423	52	16	delta	delta	NOUN
ap-4423	52	17	-	-	PUNCT
ap-4423	52	18	functions	function	NOUN
ap-4423	52	19	model	model	NOUN
ap-4423	52	20	introduced	introduce	VERB
ap-4423	52	21	in	in	ADP
ap-4423	52	22	[	[	X
ap-4423	52	23	30	30	NUM
ap-4423	52	24	]	]	PUNCT
ap-4423	52	25	.	.	PUNCT
ap-4423	53	1	the	the	DET
ap-4423	53	2	remainder	remainder	NOUN
ap-4423	53	3	of	of	ADP
ap-4423	53	4	the	the	DET
ap-4423	53	5	paper	paper	NOUN
ap-4423	53	6	is	be	AUX
ap-4423	53	7	organised	organise	VERB
ap-4423	53	8	as	as	SCONJ
ap-4423	53	9	follows	follow	VERB
ap-4423	53	10	.	.	PUNCT
ap-4423	54	1	in	in	ADP
ap-4423	54	2	section	section	NOUN
ap-4423	54	3	2	2	NUM
ap-4423	54	4	we	we	PRON
ap-4423	54	5	provide	provide	VERB
ap-4423	54	6	a	a	DET
ap-4423	54	7	brief	brief	ADJ
ap-4423	54	8	introduction	introduction	NOUN
ap-4423	54	9	into	into	ADP
ap-4423	54	10	the	the	DET
ap-4423	54	11	system	system	NOUN
ap-4423	54	12	.	.	PUNCT
ap-4423	55	1	the	the	DET
ap-4423	55	2	matrix	matrix	NOUN
ap-4423	55	3	model	model	NOUN
ap-4423	55	4	is	be	AUX
ap-4423	55	5	developed	develop	VERB
ap-4423	55	6	in	in	ADP
ap-4423	55	7	section	section	NOUN
ap-4423	55	8	3	3	NUM
ap-4423	55	9	,	,	PUNCT
ap-4423	55	10	where	where	SCONJ
ap-4423	55	11	we	we	PRON
ap-4423	55	12	introduce	introduce	VERB
ap-4423	55	13	the	the	DET
ap-4423	55	14	mapping	mapping	NOUN
ap-4423	55	15	of	of	ADP
ap-4423	55	16	the	the	DET
ap-4423	55	17	full	full	ADJ
ap-4423	55	18	system	system	NOUN
ap-4423	55	19	onto	onto	ADP
ap-4423	55	20	three	three	NUM
ap-4423	55	21	modes	mode	NOUN
ap-4423	55	22	,	,	PUNCT
ap-4423	55	23	which	which	PRON
ap-4423	55	24	can	can	AUX
ap-4423	55	25	be	be	AUX
ap-4423	55	26	used	use	VERB
ap-4423	55	27	to	to	PART
ap-4423	55	28	search	search	VERB
ap-4423	55	29	for	for	ADP
ap-4423	55	30	the	the	DET
ap-4423	55	31	best	good	ADJ
ap-4423	55	32	parameter	parameter	NOUN
ap-4423	55	33	ranges	range	NOUN
ap-4423	55	34	.	.	PUNCT
ap-4423	56	1	in	in	ADP
ap-4423	56	2	section	section	NOUN
ap-4423	56	3	4	4	NUM
ap-4423	56	4	we	we	PRON
ap-4423	56	5	show	show	VERB
ap-4423	56	6	the	the	DET
ap-4423	56	7	appearance	appearance	NOUN
ap-4423	56	8	of	of	ADP
ap-4423	56	9	continuously	continuously	ADV
ap-4423	56	10	distributed	distribute	VERB
ap-4423	56	11	exceptional	exceptional	ADJ
ap-4423	56	12	points	point	NOUN
ap-4423	56	13	in	in	ADP
ap-4423	56	14	the	the	DET
ap-4423	56	15	delta	delta	NOUN
ap-4423	56	16	-	-	PUNCT
ap-4423	56	17	functions	function	NOUN
ap-4423	56	18	model	model	NOUN
ap-4423	56	19	.	.	PUNCT
ap-4423	57	1	the	the	DET
ap-4423	57	2	central	central	ADJ
ap-4423	57	3	results	result	NOUN
ap-4423	57	4	are	be	AUX
ap-4423	57	5	summarised	summarise	VERB
ap-4423	57	6	in	in	ADP
ap-4423	57	7	section	section	NOUN
ap-4423	57	8	5	5	NUM
ap-4423	57	9	.	.	NOUN
ap-4423	58	1	2	2	NUM
ap-4423	58	2	.	.	X
ap-4423	58	3	three	three	NUM
ap-4423	58	4	optical	optical	ADJ
ap-4423	58	5	wave	wave	NOUN
ap-4423	58	6	guides	guide	NOUN
ap-4423	58	7	with	with	ADP
ap-4423	58	8	a	a	DET
ap-4423	58	9	complex	complex	ADJ
ap-4423	58	10	pt	pt	NOUN
ap-4423	58	11	-symmetric	-symmetric	ADJ
ap-4423	58	12	refractive	refractive	ADJ
ap-4423	58	13	index	index	NOUN
ap-4423	58	14	profile	profile	NOUN
ap-4423	58	15	the	the	DET
ap-4423	58	16	starting	starting	NOUN
ap-4423	58	17	point	point	NOUN
ap-4423	58	18	of	of	ADP
ap-4423	58	19	our	our	PRON
ap-4423	58	20	investigation	investigation	NOUN
ap-4423	58	21	is	be	AUX
ap-4423	58	22	the	the	DET
ap-4423	58	23	pt	pt	PROPN
ap-4423	58	24	symmetric	symmetric	ADJ
ap-4423	58	25	optical	optical	ADJ
ap-4423	58	26	wave	wave	NOUN
ap-4423	58	27	guide	guide	NOUN
ap-4423	58	28	system	system	NOUN
ap-4423	58	29	introduced	introduce	VERB
ap-4423	58	30	in	in	ADP
ap-4423	58	31	[	[	X
ap-4423	58	32	63	63	NUM
ap-4423	58	33	]	]	PUNCT
ap-4423	58	34	.	.	PUNCT
ap-4423	59	1	it	it	PRON
ap-4423	59	2	consists	consist	VERB
ap-4423	59	3	of	of	ADP
ap-4423	59	4	three	three	NUM
ap-4423	59	5	coupled	couple	VERB
ap-4423	59	6	planar	planar	ADJ
ap-4423	59	7	wave	wave	NOUN
ap-4423	59	8	guides	guide	NOUN
ap-4423	59	9	on	on	ADP
ap-4423	59	10	a	a	DET
ap-4423	59	11	background	background	NOUN
ap-4423	59	12	material	material	NOUN
ap-4423	59	13	of	of	ADP
ap-4423	59	14	gaas	gaas	NOUN
ap-4423	59	15	,	,	PUNCT
ap-4423	59	16	which	which	PRON
ap-4423	59	17	has	have	VERB
ap-4423	59	18	a	a	DET
ap-4423	59	19	refractive	refractive	ADJ
ap-4423	59	20	index	index	NOUN
ap-4423	59	21	of	of	ADP
ap-4423	59	22	n0	n0	X
ap-4423	59	23	=	=	NOUN
ap-4423	59	24	3.3	3.3	NUM
ap-4423	59	25	at	at	ADP
ap-4423	59	26	the	the	DET
ap-4423	59	27	vacuum	vacuum	NOUN
ap-4423	59	28	wavelength	wavelength	NOUN
ap-4423	59	29	used	use	VERB
ap-4423	59	30	in	in	ADP
ap-4423	59	31	that	that	DET
ap-4423	59	32	study	study	NOUN
ap-4423	59	33	.	.	PUNCT
ap-4423	60	1	the	the	DET
ap-4423	60	2	refractive	refractive	ADJ
ap-4423	60	3	index	index	NOUN
ap-4423	60	4	profile	profile	NOUN
ap-4423	60	5	is	be	AUX
ap-4423	60	6	supposed	suppose	VERB
ap-4423	60	7	to	to	PART
ap-4423	60	8	be	be	AUX
ap-4423	60	9	pt	pt	X
ap-4423	60	10	-symmetric	-symmetric	NOUN
ap-4423	60	11	,	,	PUNCT
ap-4423	60	12	i.e.	i.e.	X
ap-4423	60	13	it	it	PRON
ap-4423	60	14	possesses	possess	VERB
ap-4423	60	15	a	a	DET
ap-4423	60	16	symmetric	symmetric	ADJ
ap-4423	60	17	real	real	ADJ
ap-4423	60	18	part	part	NOUN
ap-4423	60	19	representing	represent	VERB
ap-4423	60	20	the	the	DET
ap-4423	60	21	index	index	NOUN
ap-4423	60	22	guiding	guiding	NOUN
ap-4423	60	23	profile	profile	NOUN
ap-4423	60	24	and	and	CCONJ
ap-4423	60	25	an	an	DET
ap-4423	60	26	antisymmetric	antisymmetric	ADJ
ap-4423	60	27	imaginary	imaginary	ADJ
ap-4423	60	28	part	part	NOUN
ap-4423	60	29	describing	describe	VERB
ap-4423	60	30	the	the	DET
ap-4423	60	31	gain	gain	NOUN
ap-4423	60	32	-	-	PUNCT
ap-4423	60	33	loss	loss	NOUN
ap-4423	60	34	structure	structure	NOUN
ap-4423	60	35	,	,	PUNCT
ap-4423	60	36	i.e.	i.e.	X
ap-4423	60	37	n(x	n(x	X
ap-4423	60	38	)	)	PUNCT
ap-4423	60	39	=	=	PUNCT
ap-4423	60	40	n∗(−x	n∗(−x	NOUN
ap-4423	60	41	)	)	PUNCT
ap-4423	60	42	.	.	PUNCT
ap-4423	61	1	it	it	PRON
ap-4423	61	2	extends	extend	VERB
ap-4423	61	3	the	the	DET
ap-4423	61	4	idea	idea	NOUN
ap-4423	61	5	klaiman	klaiman	NOUN
ap-4423	61	6	et	et	PROPN
ap-4423	61	7	al	al	PROPN
ap-4423	61	8	.	.	PROPN
ap-4423	61	9	pursued	pursue	VERB
ap-4423	61	10	for	for	ADP
ap-4423	61	11	two	two	NUM
ap-4423	61	12	wave	wave	NOUN
ap-4423	61	13	guides	guide	NOUN
ap-4423	61	14	.	.	PUNCT
ap-4423	62	1	the	the	DET
ap-4423	62	2	physical	physical	ADJ
ap-4423	62	3	parameters	parameter	NOUN
ap-4423	62	4	consist	consist	VERB
ap-4423	62	5	of	of	ADP
ap-4423	62	6	dimensionless	dimensionless	NOUN
ap-4423	62	7	scaling	scale	VERB
ap-4423	62	8	factors	factor	NOUN
ap-4423	62	9	sm	sm	PROPN
ap-4423	62	10	and	and	CCONJ
ap-4423	62	11	s1,2	s1,2	PROPN
ap-4423	62	12	used	use	VERB
ap-4423	62	13	to	to	PART
ap-4423	62	14	define	define	VERB
ap-4423	62	15	distances	distance	NOUN
ap-4423	62	16	in	in	ADP
ap-4423	62	17	units	unit	NOUN
ap-4423	62	18	of	of	ADP
ap-4423	62	19	a	a	DET
ap-4423	62	20	constant	constant	ADJ
ap-4423	62	21	length	length	NOUN
ap-4423	63	1	a	a	DET
ap-4423	63	2	=	=	SYM
ap-4423	63	3	2.5	2.5	NUM
ap-4423	63	4	µm	µm	NOUN
ap-4423	63	5	(	(	PUNCT
ap-4423	63	6	cf	cf	NOUN
ap-4423	63	7	.	.	PUNCT
ap-4423	63	8	fig	fig	NOUN
ap-4423	63	9	.	.	PUNCT
ap-4423	64	1	1	1	NUM
ap-4423	64	2	)	)	PUNCT
ap-4423	65	1	and	and	CCONJ
ap-4423	65	2	variations	variation	NOUN
ap-4423	65	3	of	of	ADP
ap-4423	65	4	the	the	DET
ap-4423	65	5	refractive	refractive	ADJ
ap-4423	65	6	index	index	NOUN
ap-4423	65	7	.	.	PUNCT
ap-4423	66	1	the	the	DET
ap-4423	66	2	background	background	NOUN
ap-4423	66	3	index	index	NOUN
ap-4423	66	4	is	be	AUX
ap-4423	66	5	shifted	shift	VERB
ap-4423	66	6	by	by	ADP
ap-4423	66	7	a	a	DET
ap-4423	66	8	constant	constant	ADJ
ap-4423	66	9	value	value	NOUN
ap-4423	66	10	of	of	ADP
ap-4423	66	11	∆n	∆n	NOUN
ap-4423	66	12	=	=	SYM
ap-4423	66	13	1.3×	1.3×	NUM
ap-4423	66	14	10−3	10−3	NUM
ap-4423	66	15	,	,	PUNCT
ap-4423	66	16	and	and	CCONJ
ap-4423	66	17	an	an	DET
ap-4423	66	18	additional	additional	ADJ
ap-4423	66	19	shift	shift	NOUN
ap-4423	66	20	nm	nm	NOUN
ap-4423	66	21	can	can	AUX
ap-4423	66	22	be	be	AUX
ap-4423	66	23	applied	apply	VERB
ap-4423	66	24	,	,	PUNCT
ap-4423	66	25	to	to	ADP
ap-4423	66	26	the	the	DET
ap-4423	66	27	middle	middle	ADJ
ap-4423	66	28	wave	wave	NOUN
ap-4423	66	29	guide	guide	NOUN
ap-4423	66	30	.	.	PUNCT
ap-4423	67	1	the	the	DET
ap-4423	67	2	gain	gain	NOUN
ap-4423	67	3	-	-	PUNCT
ap-4423	67	4	loss	loss	NOUN
ap-4423	67	5	parameter	parameter	NOUN
ap-4423	67	6	is	be	AUX
ap-4423	67	7	labelled	label	VERB
ap-4423	67	8	γ	γ	X
ap-4423	67	9	.	.	PUNCT
ap-4423	68	1	the	the	DET
ap-4423	68	2	vacuum	vacuum	NOUN
ap-4423	68	3	wavelength	wavelength	NOUN
ap-4423	68	4	is	be	AUX
ap-4423	68	5	assumed	assume	VERB
ap-4423	68	6	to	to	PART
ap-4423	68	7	be	be	AUX
ap-4423	68	8	λ	λ	X
ap-4423	68	9	=	=	SYM
ap-4423	68	10	1.55	1.55	NUM
ap-4423	68	11	µm	µm	NOUN
ap-4423	68	12	.	.	PUNCT
ap-4423	69	1	for	for	ADP
ap-4423	69	2	a	a	DET
ap-4423	69	3	wave	wave	NOUN
ap-4423	69	4	propagation	propagation	NOUN
ap-4423	69	5	of	of	ADP
ap-4423	69	6	transverse	transverse	NOUN
ap-4423	69	7	electric	electric	ADJ
ap-4423	69	8	modes	mode	NOUN
ap-4423	69	9	along	along	ADP
ap-4423	69	10	the	the	DET
ap-4423	69	11	z	z	NOUN
ap-4423	69	12	axis	axis	NOUN
ap-4423	69	13	the	the	DET
ap-4423	69	14	ansatz	ansatz	ADJ
ap-4423	69	15	ey(x	ey(x	NOUN
ap-4423	69	16	,	,	PUNCT
ap-4423	69	17	z	z	PROPN
ap-4423	69	18	,	,	PUNCT
ap-4423	69	19	t	t	PROPN
ap-4423	69	20	)	)	PUNCT
ap-4423	69	21	=	=	SYM
ap-4423	69	22	ey(x)ei(ωt−βz	ey(x)ei(ωt−βz	PROPN
ap-4423	69	23	)	)	PUNCT
ap-4423	69	24	(	(	PUNCT
ap-4423	69	25	1	1	X
ap-4423	69	26	)	)	PUNCT
ap-4423	69	27	with	with	ADP
ap-4423	69	28	k	k	PROPN
ap-4423	69	29	=	=	PUNCT
ap-4423	69	30	2π	2π	NOUN
ap-4423	69	31	/	/	SYM
ap-4423	69	32	λ	λ	NOUN
ap-4423	69	33	and	and	CCONJ
ap-4423	69	34	the	the	DET
ap-4423	69	35	propagation	propagation	NOUN
ap-4423	69	36	constant	constant	ADJ
ap-4423	69	37	β	β	X
ap-4423	69	38	can	can	AUX
ap-4423	69	39	be	be	AUX
ap-4423	69	40	applied	apply	VERB
ap-4423	69	41	,	,	PUNCT
ap-4423	69	42	and	and	CCONJ
ap-4423	69	43	leads	lead	VERB
ap-4423	69	44	to	to	ADP
ap-4423	69	45	the	the	DET
ap-4423	69	46	wave	wave	NOUN
ap-4423	69	47	equation	equation	NOUN
ap-4423	69	48	(	(	PUNCT
ap-4423	69	49	∂2	∂2	NUM
ap-4423	69	50	∂x2	∂x2	NOUN
ap-4423	69	51	+	+	CCONJ
ap-4423	69	52	k2n(x)2	k2n(x)2	NOUN
ap-4423	69	53	)	)	PUNCT
ap-4423	69	54	ey(x	ey(x	PUNCT
ap-4423	69	55	)	)	PUNCT
ap-4423	69	56	=	=	SYM
ap-4423	69	57	β2ey(x	β2ey(x	PROPN
ap-4423	69	58	)	)	PUNCT
ap-4423	69	59	,	,	PUNCT
ap-4423	69	60	(	(	PUNCT
ap-4423	69	61	2	2	X
ap-4423	69	62	)	)	PUNCT
ap-4423	69	63	which	which	PRON
ap-4423	69	64	is	be	AUX
ap-4423	69	65	formally	formally	ADV
ap-4423	69	66	equivalent	equivalent	ADJ
ap-4423	69	67	to	to	ADP
ap-4423	69	68	the	the	DET
ap-4423	69	69	one	one	NUM
ap-4423	69	70	-	-	PUNCT
ap-4423	69	71	dimensional	dimensional	ADJ
ap-4423	69	72	schrödinger	schrödinger	ADJ
ap-4423	69	73	equation	equation	NOUN
ap-4423	69	74	(	(	PUNCT
ap-4423	69	75	−1	−1	NOUN
ap-4423	69	76	2	2	NUM
ap-4423	69	77	∂2	∂2	NOUN
ap-4423	69	78	∂x2	∂x2	NOUN
ap-4423	69	79	+	+	CCONJ
ap-4423	69	80	v	v	ADJ
ap-4423	69	81	(	(	PUNCT
ap-4423	69	82	x	x	NOUN
ap-4423	69	83	)	)	PUNCT
ap-4423	69	84	)	)	PUNCT
ap-4423	70	1	︸	︸	X
ap-4423	70	2	︷︷	︷︷	NOUN
ap-4423	70	3	︸	︸	NOUN
ap-4423	70	4	=	=	NUM
ap-4423	70	5	hsys	hsy	NOUN
ap-4423	70	6	ψ(x	ψ(x	NOUN
ap-4423	70	7	)	)	PUNCT
ap-4423	70	8	=	=	SYM
ap-4423	70	9	eψ(x	eψ(x	X
ap-4423	70	10	)	)	PUNCT
ap-4423	70	11	(	(	PUNCT
ap-4423	70	12	3	3	X
ap-4423	70	13	)	)	PUNCT
ap-4423	70	14	with	with	ADP
ap-4423	70	15	the	the	DET
ap-4423	70	16	relations	relation	NOUN
ap-4423	70	17	v	v	NOUN
ap-4423	70	18	(	(	PUNCT
ap-4423	70	19	x	x	NOUN
ap-4423	70	20	)	)	PUNCT
ap-4423	70	21	=	=	SYM
ap-4423	70	22	−1	−1	NOUN
ap-4423	70	23	2k	2k	NOUN
ap-4423	70	24	2n(x)2	2n(x)2	PUNCT
ap-4423	70	25	,	,	PUNCT
ap-4423	70	26	e	e	X
ap-4423	70	27	=	=	SYM
ap-4423	70	28	−1	−1	NOUN
ap-4423	70	29	2β	2β	NOUN
ap-4423	70	30	2	2	NUM
ap-4423	70	31	.	.	PUNCT
ap-4423	70	32	(	(	PUNCT
ap-4423	70	33	4	4	NUM
ap-4423	70	34	)	)	PUNCT
ap-4423	70	35	thus	thus	ADV
ap-4423	70	36	,	,	PUNCT
ap-4423	70	37	the	the	DET
ap-4423	70	38	formalism	formalism	NOUN
ap-4423	70	39	of	of	ADP
ap-4423	70	40	pt	pt	X
ap-4423	70	41	-symmetric	-symmetric	ADJ
ap-4423	70	42	quantum	quantum	NOUN
ap-4423	70	43	mechanics	mechanic	NOUN
ap-4423	70	44	can	can	AUX
ap-4423	70	45	be	be	AUX
ap-4423	70	46	used	use	VERB
ap-4423	70	47	for	for	ADP
ap-4423	70	48	the	the	DET
ap-4423	70	49	setup	setup	NOUN
ap-4423	70	50	.	.	PUNCT
ap-4423	71	1	eq	eq	ADJ
ap-4423	71	2	.	.	PUNCT
ap-4423	72	1	(	(	PUNCT
ap-4423	72	2	2	2	X
ap-4423	72	3	)	)	PUNCT
ap-4423	72	4	was	be	AUX
ap-4423	72	5	solved	solve	VERB
ap-4423	72	6	numerically	numerically	ADV
ap-4423	72	7	in	in	ADP
ap-4423	72	8	[	[	X
ap-4423	72	9	63	63	NUM
ap-4423	72	10	]	]	PUNCT
ap-4423	72	11	.	.	PUNCT
ap-4423	73	1	in	in	ADP
ap-4423	73	2	this	this	DET
ap-4423	73	3	work	work	NOUN
ap-4423	73	4	we	we	PRON
ap-4423	73	5	introduce	introduce	VERB
ap-4423	73	6	approximations	approximation	NOUN
ap-4423	73	7	preserving	preserve	VERB
ap-4423	73	8	the	the	DET
ap-4423	73	9	main	main	ADJ
ap-4423	73	10	properties	property	NOUN
ap-4423	73	11	.	.	PUNCT
ap-4423	74	1	3	3	X
ap-4423	74	2	.	.	X
ap-4423	74	3	mapping	map	VERB
ap-4423	74	4	onto	onto	ADP
ap-4423	74	5	a	a	DET
ap-4423	74	6	matrix	matrix	NOUN
ap-4423	74	7	model	model	NOUN
ap-4423	74	8	in	in	ADP
ap-4423	74	9	the	the	DET
ap-4423	74	10	first	first	ADJ
ap-4423	74	11	approximation	approximation	NOUN
ap-4423	74	12	we	we	PRON
ap-4423	74	13	map	map	VERB
ap-4423	74	14	the	the	DET
ap-4423	74	15	full	full	ADJ
ap-4423	74	16	hamiltonian	hamiltonian	NOUN
ap-4423	74	17	of	of	ADP
ap-4423	74	18	the	the	DET
ap-4423	74	19	setup	setup	NOUN
ap-4423	74	20	shown	show	VERB
ap-4423	74	21	in	in	ADP
ap-4423	74	22	figure	figure	NOUN
ap-4423	74	23	1	1	NUM
ap-4423	74	24	to	to	ADP
ap-4423	74	25	a	a	DET
ap-4423	74	26	three	three	NUM
ap-4423	74	27	-	-	PUNCT
ap-4423	74	28	mode	mode	NOUN
ap-4423	74	29	matrix	matrix	NOUN
ap-4423	74	30	model	model	NOUN
ap-4423	74	31	.	.	PUNCT
ap-4423	75	1	by	by	ADP
ap-4423	75	2	this	this	DET
ap-4423	75	3	approach	approach	NOUN
ap-4423	75	4	we	we	PRON
ap-4423	75	5	check	check	VERB
ap-4423	75	6	whether	whether	SCONJ
ap-4423	75	7	the	the	DET
ap-4423	75	8	system	system	NOUN
ap-4423	75	9	can	can	AUX
ap-4423	75	10	give	give	VERB
ap-4423	75	11	rise	rise	NOUN
ap-4423	75	12	to	to	ADP
ap-4423	75	13	a	a	DET
ap-4423	75	14	third	third	ADJ
ap-4423	75	15	-	-	PUNCT
ap-4423	75	16	order	order	NOUN
ap-4423	75	17	branch	branch	NOUN
ap-4423	75	18	point	point	NOUN
ap-4423	75	19	in	in	ADP
ap-4423	75	20	a	a	DET
ap-4423	75	21	simple	simple	ADJ
ap-4423	75	22	manner	manner	NOUN
ap-4423	75	23	.	.	PUNCT
ap-4423	76	1	this	this	PRON
ap-4423	76	2	is	be	AUX
ap-4423	76	3	clearly	clearly	ADV
ap-4423	76	4	the	the	DET
ap-4423	76	5	case	case	NOUN
ap-4423	76	6	if	if	SCONJ
ap-4423	76	7	the	the	DET
ap-4423	76	8	resulting	result	VERB
ap-4423	76	9	hamiltonian	hamiltonian	NOUN
ap-4423	76	10	is	be	AUX
ap-4423	76	11	of	of	ADP
ap-4423	76	12	the	the	DET
ap-4423	76	13	form	form	NOUN
ap-4423	76	14	proposed	propose	VERB
ap-4423	76	15	in	in	ADP
ap-4423	76	16	[	[	X
ap-4423	76	17	29	29	NUM
ap-4423	76	18	]	]	PUNCT
ap-4423	76	19	,	,	PUNCT
ap-4423	76	20	viz	viz	PROPN
ap-4423	76	21	.	.	PUNCT
ap-4423	76	22	ĥmath	ĥmath	NOUN
ap-4423	77	1	=	=	PUNCT
ap-4423	77	2	a−	a−	NOUN
ap-4423	77	3	2iγ	2iγ	ADJ
ap-4423	77	4	√	√	NUM
ap-4423	77	5	2v	2v	NUM
ap-4423	77	6	0√	0√	PROPN
ap-4423	77	7	2v	2v	PROPN
ap-4423	77	8	0	0	PUNCT
ap-4423	78	1	√	√	PROPN
ap-4423	78	2	2v	2v	PROPN
ap-4423	78	3	0	0	PUNCT
ap-4423	79	1	√	√	PROPN
ap-4423	79	2	2v	2v	PROPN
ap-4423	79	3	b+	b+	ADP
ap-4423	79	4	2iγ	2iγ	ADJ
ap-4423	79	5			PROPN
ap-4423	79	6	(	(	PUNCT
ap-4423	79	7	5	5	NUM
ap-4423	79	8	)	)	PUNCT
ap-4423	79	9	with	with	ADP
ap-4423	79	10	γ	γ	PROPN
ap-4423	79	11	,	,	PUNCT
ap-4423	79	12	v	v	NOUN
ap-4423	79	13	∈	∈	NOUN
ap-4423	79	14	r	r	NOUN
ap-4423	79	15	and	and	CCONJ
ap-4423	79	16	a	a	DET
ap-4423	79	17	,	,	PUNCT
ap-4423	79	18	b	b	PROPN
ap-4423	79	19	∈	∈	PROPN
ap-4423	79	20	c.	c.	NOUN
ap-4423	79	21	the	the	DET
ap-4423	79	22	real	real	ADJ
ap-4423	79	23	and	and	CCONJ
ap-4423	79	24	imaginary	imaginary	ADJ
ap-4423	79	25	parts	part	NOUN
ap-4423	79	26	of	of	ADP
ap-4423	79	27	the	the	DET
ap-4423	79	28	diagonal	diagonal	ADJ
ap-4423	79	29	elements	element	NOUN
ap-4423	79	30	simulate	simulate	VERB
ap-4423	79	31	the	the	DET
ap-4423	79	32	refractive	refractive	ADJ
ap-4423	79	33	index	index	NOUN
ap-4423	79	34	as	as	ADV
ap-4423	79	35	well	well	ADV
ap-4423	79	36	as	as	ADP
ap-4423	79	37	the	the	DET
ap-4423	79	38	gain	gain	NOUN
ap-4423	79	39	(	(	PUNCT
ap-4423	79	40	loss	loss	NOUN
ap-4423	79	41	)	)	PUNCT
ap-4423	79	42	behaviour	behaviour	NOUN
ap-4423	79	43	in	in	ADP
ap-4423	79	44	the	the	DET
ap-4423	79	45	wave	wave	NOUN
ap-4423	79	46	guides	guide	NOUN
ap-4423	79	47	.	.	PUNCT
ap-4423	80	1	the	the	DET
ap-4423	80	2	parameter	parameter	NOUN
ap-4423	80	3	v	v	PROPN
ap-4423	80	4	represents	represent	VERB
ap-4423	80	5	a	a	DET
ap-4423	80	6	coupling	coupling	NOUN
ap-4423	80	7	between	between	ADP
ap-4423	80	8	neighbouring	neighbouring	ADJ
ap-4423	80	9	wave	wave	NOUN
ap-4423	80	10	guides	guide	NOUN
ap-4423	80	11	via	via	ADP
ap-4423	80	12	evanescent	evanescent	NOUN
ap-4423	80	13	fields	field	NOUN
ap-4423	80	14	,	,	PUNCT
ap-4423	80	15	and	and	CCONJ
ap-4423	80	16	is	be	AUX
ap-4423	80	17	thus	thus	ADV
ap-4423	80	18	related	relate	VERB
ap-4423	80	19	to	to	ADP
ap-4423	80	20	the	the	DET
ap-4423	80	21	distance	distance	NOUN
ap-4423	80	22	between	between	ADP
ap-4423	80	23	them	they	PRON
ap-4423	80	24	.	.	PUNCT
ap-4423	81	1	all	all	PRON
ap-4423	81	2	in	in	ADP
ap-4423	81	3	all	all	DET
ap-4423	81	4	ĥmath	ĥmath	NOUN
ap-4423	81	5	reflects	reflect	VERB
ap-4423	81	6	a	a	DET
ap-4423	81	7	situation	situation	NOUN
ap-4423	81	8	in	in	ADP
ap-4423	81	9	which	which	PRON
ap-4423	81	10	each	each	DET
ap-4423	81	11	wave	wave	NOUN
ap-4423	81	12	guide	guide	NOUN
ap-4423	81	13	supports	support	VERB
ap-4423	81	14	a	a	DET
ap-4423	81	15	single	single	ADJ
ap-4423	81	16	mode	mode	NOUN
ap-4423	81	17	.	.	PUNCT
ap-4423	82	1	however	however	ADV
ap-4423	82	2	,	,	PUNCT
ap-4423	82	3	this	this	DET
ap-4423	82	4	matrix	matrix	NOUN
ap-4423	82	5	is	be	AUX
ap-4423	82	6	merely	merely	ADV
ap-4423	82	7	an	an	DET
ap-4423	82	8	abstract	abstract	ADJ
ap-4423	82	9	mathematical	mathematical	ADJ
ap-4423	82	10	model	model	NOUN
ap-4423	82	11	without	without	ADP
ap-4423	82	12	direct	direct	ADJ
ap-4423	82	13	connection	connection	NOUN
ap-4423	82	14	to	to	ADP
ap-4423	82	15	an	an	DET
ap-4423	82	16	experimental	experimental	ADJ
ap-4423	82	17	realisation	realisation	NOUN
ap-4423	82	18	.	.	PUNCT
ap-4423	83	1	to	to	PART
ap-4423	83	2	establish	establish	VERB
ap-4423	83	3	such	such	ADJ
ap-4423	83	4	connection	connection	NOUN
ap-4423	83	5	455	455	NUM
ap-4423	83	6	j.	j.	PROPN
ap-4423	83	7	schnabel	schnabel	PROPN
ap-4423	83	8	,	,	PUNCT
ap-4423	83	9	h.	h.	PROPN
ap-4423	83	10	cartarius	cartarius	PROPN
ap-4423	83	11	,	,	PUNCT
ap-4423	84	1	j.	j.	PROPN
ap-4423	84	2	main	main	PROPN
ap-4423	84	3	et	et	PROPN
ap-4423	84	4	al	al	PROPN
ap-4423	84	5	.	.	PROPN
ap-4423	85	1	acta	acta	PROPN
ap-4423	85	2	polytechnica	polytechnica	PROPN
ap-4423	85	3	we	we	PRON
ap-4423	85	4	use	use	VERB
ap-4423	85	5	the	the	DET
ap-4423	85	6	formal	formal	ADJ
ap-4423	85	7	analogy	analogy	NOUN
ap-4423	85	8	between	between	ADP
ap-4423	85	9	the	the	DET
ap-4423	85	10	wave	wave	NOUN
ap-4423	85	11	equation	equation	NOUN
ap-4423	85	12	(	(	PUNCT
ap-4423	85	13	2	2	NUM
ap-4423	85	14	)	)	PUNCT
ap-4423	85	15	and	and	CCONJ
ap-4423	85	16	the	the	DET
ap-4423	85	17	one	one	NUM
ap-4423	85	18	-	-	PUNCT
ap-4423	85	19	dimensional	dimensional	ADJ
ap-4423	85	20	schrödinger	schrödinger	ADJ
ap-4423	85	21	equation	equation	NOUN
ap-4423	85	22	(	(	PUNCT
ap-4423	85	23	3	3	NUM
ap-4423	85	24	)	)	PUNCT
ap-4423	85	25	and	and	CCONJ
ap-4423	85	26	calculate	calculate	VERB
ap-4423	85	27	a	a	DET
ap-4423	85	28	matrix	matrix	NOUN
ap-4423	85	29	representation	representation	NOUN
ap-4423	85	30	of	of	ADP
ap-4423	85	31	our	our	PRON
ap-4423	85	32	system	system	NOUN
ap-4423	85	33	in	in	ADP
ap-4423	85	34	terms	term	NOUN
ap-4423	85	35	of	of	ADP
ap-4423	85	36	ĥ	ĥ	X
ap-4423	86	1	′	′	NUM
ap-4423	86	2	=	=	PUNCT
ap-4423	87	1	〈	〈	NOUN
ap-4423	87	2	ψi|hsys|ψj	ψi|hsys|ψj	VERB
ap-4423	87	3	〉	〉	NUM
ap-4423	87	4	.	.	PUNCT
ap-4423	88	1	(	(	PUNCT
ap-4423	88	2	6	6	NUM
ap-4423	88	3	)	)	PUNCT
ap-4423	88	4	for	for	ADP
ap-4423	88	5	this	this	DET
ap-4423	88	6	purpose	purpose	NOUN
ap-4423	88	7	we	we	PRON
ap-4423	88	8	assume	assume	VERB
ap-4423	88	9	the	the	DET
ap-4423	88	10	same	same	ADJ
ap-4423	88	11	real	real	ADJ
ap-4423	88	12	index	index	NOUN
ap-4423	88	13	difference	difference	NOUN
ap-4423	89	1	∆n	∆n	NOUN
ap-4423	89	2	=	=	SYM
ap-4423	89	3	1.3	1.3	NUM
ap-4423	89	4	×	×	NOUN
ap-4423	89	5	10−3	10−3	NUM
ap-4423	89	6	(	(	PUNCT
ap-4423	89	7	and	and	CCONJ
ap-4423	89	8	nm	nm	ADJ
ap-4423	89	9	=	=	NOUN
ap-4423	89	10	0	0	NUM
ap-4423	89	11	)	)	PUNCT
ap-4423	89	12	as	as	ADV
ap-4423	89	13	well	well	ADV
ap-4423	89	14	as	as	ADP
ap-4423	89	15	the	the	DET
ap-4423	89	16	same	same	ADJ
ap-4423	89	17	width	width	NOUN
ap-4423	89	18	w	w	NOUN
ap-4423	89	19	=	=	SYM
ap-4423	89	20	2a	2a	NUM
ap-4423	89	21	=	=	SYM
ap-4423	89	22	5.0	5.0	NUM
ap-4423	89	23	µm	µm	NOUN
ap-4423	89	24	for	for	ADP
ap-4423	89	25	all	all	DET
ap-4423	89	26	three	three	NUM
ap-4423	89	27	wave	wave	NOUN
ap-4423	89	28	guides	guide	NOUN
ap-4423	89	29	and	and	CCONJ
ap-4423	89	30	use	use	VERB
ap-4423	89	31	the	the	DET
ap-4423	89	32	ground	ground	NOUN
ap-4423	89	33	state	state	NOUN
ap-4423	89	34	modes	mode	NOUN
ap-4423	89	35	of	of	ADP
ap-4423	89	36	each	each	DET
ap-4423	89	37	single	single	ADJ
ap-4423	89	38	potential	potential	NOUN
ap-4423	89	39	well	well	ADV
ap-4423	89	40	with	with	ADP
ap-4423	89	41	corresponding	corresponding	ADJ
ap-4423	89	42	basis	basis	NOUN
ap-4423	89	43	functions	function	NOUN
ap-4423	89	44	ψi	ψi	ADV
ap-4423	89	45	,	,	PUNCT
ap-4423	89	46	ψj	ψj	ADV
ap-4423	89	47	.	.	PUNCT
ap-4423	90	1	this	this	PRON
ap-4423	90	2	results	result	VERB
ap-4423	90	3	in	in	ADP
ap-4423	90	4	a	a	DET
ap-4423	90	5	matrix	matrix	NOUN
ap-4423	90	6	of	of	ADP
ap-4423	90	7	the	the	DET
ap-4423	90	8	form	form	NOUN
ap-4423	90	9	ĥ	ĥ	X
ap-4423	90	10	′	′	NUM
ap-4423	91	1	=	=	SYM
ap-4423	91	2	α+	α+	PROPN
ap-4423	91	3	iη	iη	ADJ
ap-4423	91	4	σ′	σ′	PROPN
ap-4423	91	5	ξ	ξ	PROPN
ap-4423	91	6	σ′	σ′	PROPN
ap-4423	91	7	α	α	NOUN
ap-4423	91	8	σ′	σ′	NUM
ap-4423	91	9	ξ	ξ	PROPN
ap-4423	91	10	σ′	σ′	PROPN
ap-4423	91	11	α−	α−	ADP
ap-4423	91	12	iη	iη	ADJ
ap-4423	91	13			PROPN
ap-4423	91	14	(	(	PUNCT
ap-4423	91	15	7	7	NUM
ap-4423	91	16	)	)	PUNCT
ap-4423	91	17	with	with	ADP
ap-4423	91	18	α	α	PROPN
ap-4423	91	19	,	,	PUNCT
ap-4423	91	20	η	η	PROPN
ap-4423	91	21	,	,	PUNCT
ap-4423	91	22	ξ	ξ	PROPN
ap-4423	91	23	∈	∈	PROPN
ap-4423	91	24	r	r	NOUN
ap-4423	91	25	and	and	CCONJ
ap-4423	91	26	σ′	σ′	PROPN
ap-4423	91	27	∈	∈	PROPN
ap-4423	91	28	c.	c.	NOUN
ap-4423	91	29	the	the	DET
ap-4423	91	30	use	use	NOUN
ap-4423	91	31	of	of	ADP
ap-4423	91	32	a	a	DET
ap-4423	91	33	common	common	ADJ
ap-4423	91	34	width	width	NOUN
ap-4423	91	35	is	be	AUX
ap-4423	91	36	compatible	compatible	ADJ
ap-4423	91	37	only	only	ADV
ap-4423	91	38	with	with	ADP
ap-4423	91	39	sm	sm	PROPN
ap-4423	91	40	=	=	SYM
ap-4423	91	41	1.0	1.0	NUM
ap-4423	91	42	and	and	CCONJ
ap-4423	91	43	s2	s2	VERB
ap-4423	91	44	−	−	PRON
ap-4423	91	45	s1	s1	NOUN
ap-4423	91	46	=	=	PUNCT
ap-4423	91	47	2.0	2.0	NUM
ap-4423	91	48	,	,	PUNCT
ap-4423	91	49	which	which	PRON
ap-4423	91	50	implies	imply	VERB
ap-4423	91	51	that	that	SCONJ
ap-4423	91	52	the	the	DET
ap-4423	91	53	matrix	matrix	NOUN
ap-4423	91	54	elements	element	NOUN
ap-4423	91	55	still	still	ADV
ap-4423	91	56	depend	depend	VERB
ap-4423	91	57	on	on	ADP
ap-4423	91	58	the	the	DET
ap-4423	91	59	doublet	doublet	NOUN
ap-4423	91	60	(	(	PUNCT
ap-4423	91	61	γ	γ	X
ap-4423	91	62	,	,	PUNCT
ap-4423	91	63	s1	s1	NOUN
ap-4423	91	64	)	)	PUNCT
ap-4423	91	65	,	,	PUNCT
ap-4423	91	66	and	and	CCONJ
ap-4423	91	67	thus	thus	ADV
ap-4423	91	68	on	on	ADP
ap-4423	91	69	the	the	DET
ap-4423	91	70	distance	distance	NOUN
ap-4423	91	71	s1	s1	NOUN
ap-4423	91	72	−	−	PROPN
ap-4423	91	73	sm	sm	INTJ
ap-4423	91	74	between	between	ADP
ap-4423	91	75	the	the	DET
ap-4423	91	76	wave	wave	NOUN
ap-4423	91	77	guides	guide	NOUN
ap-4423	91	78	.	.	PUNCT
ap-4423	92	1	eq	eq	ADJ
ap-4423	92	2	.	.	PUNCT
ap-4423	93	1	(	(	PUNCT
ap-4423	93	2	7	7	X
ap-4423	93	3	)	)	PUNCT
ap-4423	93	4	does	do	AUX
ap-4423	93	5	not	not	PART
ap-4423	93	6	show	show	VERB
ap-4423	93	7	the	the	DET
ap-4423	93	8	form	form	NOUN
ap-4423	93	9	predicted	predict	VERB
ap-4423	93	10	for	for	ADP
ap-4423	93	11	the	the	DET
ap-4423	93	12	appearance	appearance	NOUN
ap-4423	93	13	of	of	ADP
ap-4423	93	14	an	an	DET
ap-4423	93	15	ep3	ep3	NOUN
ap-4423	93	16	from	from	ADP
ap-4423	93	17	eq	eq	PROPN
ap-4423	93	18	.	.	PUNCT
ap-4423	94	1	(	(	PUNCT
ap-4423	94	2	5	5	NUM
ap-4423	94	3	)	)	PUNCT
ap-4423	94	4	as	as	ADP
ap-4423	94	5	ξ	ξ	X
ap-4423	94	6	6=	6=	ADP
ap-4423	94	7	0	0	NUM
ap-4423	94	8	and	and	CCONJ
ap-4423	94	9	σ′	σ′	PROPN
ap-4423	94	10	∈	∈	PROPN
ap-4423	94	11	c.	c.	NOUN
ap-4423	94	12	this	this	PRON
ap-4423	94	13	corresponds	correspond	VERB
ap-4423	94	14	to	to	ADP
ap-4423	94	15	a	a	DET
ap-4423	94	16	situation	situation	NOUN
ap-4423	94	17	in	in	ADP
ap-4423	94	18	which	which	PRON
ap-4423	94	19	also	also	ADV
ap-4423	94	20	the	the	DET
ap-4423	94	21	two	two	NUM
ap-4423	94	22	outer	outer	ADJ
ap-4423	94	23	wave	wave	NOUN
ap-4423	94	24	guides	guide	NOUN
ap-4423	94	25	are	be	AUX
ap-4423	94	26	connected	connect	VERB
ap-4423	94	27	by	by	ADP
ap-4423	94	28	a	a	DET
ap-4423	94	29	coupling	coupling	NOUN
ap-4423	94	30	of	of	ADP
ap-4423	94	31	their	their	PRON
ap-4423	94	32	waves	wave	NOUN
ap-4423	94	33	.	.	PUNCT
ap-4423	95	1	this	this	PRON
ap-4423	95	2	can	can	AUX
ap-4423	95	3	happen	happen	VERB
ap-4423	95	4	due	due	ADP
ap-4423	95	5	to	to	ADP
ap-4423	95	6	a	a	DET
ap-4423	95	7	too	too	ADV
ap-4423	95	8	small	small	ADJ
ap-4423	95	9	separation	separation	NOUN
ap-4423	95	10	between	between	ADP
ap-4423	95	11	the	the	DET
ap-4423	95	12	wave	wave	NOUN
ap-4423	95	13	guides	guide	NOUN
ap-4423	95	14	.	.	PUNCT
ap-4423	96	1	however	however	ADV
ap-4423	96	2	,	,	PUNCT
ap-4423	96	3	for	for	ADP
ap-4423	96	4	a	a	DET
ap-4423	96	5	sufficiently	sufficiently	ADV
ap-4423	96	6	large	large	ADJ
ap-4423	96	7	separation	separation	NOUN
ap-4423	96	8	s1	s1	NOUN
ap-4423	96	9	−	−	PROPN
ap-4423	96	10	sm	sm	VERB
ap-4423	96	11	the	the	DET
ap-4423	96	12	hamiltonian	hamiltonian	NOUN
ap-4423	96	13	ĥ	ĥ	X
ap-4423	96	14	′	′	NUM
ap-4423	96	15	reduces	reduce	VERB
ap-4423	96	16	to	to	ADP
ap-4423	96	17	the	the	DET
ap-4423	96	18	form	form	NOUN
ap-4423	96	19	ˆ̄h	ˆ̄h	NOUN
ap-4423	96	20	=	=	SYM
ap-4423	96	21	α+	α+	PUNCT
ap-4423	96	22	iη	iη	PROPN
ap-4423	97	1	σ	σ	PROPN
ap-4423	97	2	0	0	PUNCT
ap-4423	97	3	σ	σ	PROPN
ap-4423	97	4	α	α	PROPN
ap-4423	97	5	σ	σ	PROPN
ap-4423	97	6	0	0	PUNCT
ap-4423	97	7	σ	σ	NOUN
ap-4423	97	8	α−	α−	ADP
ap-4423	97	9	iη	iη	PRON
ap-4423	97	10			PROPN
ap-4423	97	11	(	(	PUNCT
ap-4423	97	12	8)	8)	NUM
ap-4423	97	13	with	with	ADP
ap-4423	97	14	α	α	PROPN
ap-4423	97	15	,	,	PUNCT
ap-4423	97	16	η	η	PROPN
ap-4423	97	17	,	,	PUNCT
ap-4423	97	18	σ	σ	PROPN
ap-4423	97	19	∈	∈	PROPN
ap-4423	97	20	r	r	NOUN
ap-4423	97	21	,	,	PUNCT
ap-4423	97	22	which	which	PRON
ap-4423	97	23	resembles	resemble	VERB
ap-4423	97	24	the	the	DET
ap-4423	97	25	desired	desire	VERB
ap-4423	97	26	form	form	NOUN
ap-4423	97	27	of	of	ADP
ap-4423	97	28	eq	eq	PROPN
ap-4423	97	29	.	.	PUNCT
ap-4423	97	30	(	(	PUNCT
ap-4423	97	31	5	5	NUM
ap-4423	97	32	)	)	PUNCT
ap-4423	97	33	for	for	ADP
ap-4423	97	34	a	a	DET
ap-4423	97	35	=	=	SYM
ap-4423	97	36	b	b	NOUN
ap-4423	97	37	=	=	SYM
ap-4423	97	38	0	0	NUM
ap-4423	97	39	up	up	ADP
ap-4423	97	40	to	to	ADP
ap-4423	97	41	a	a	DET
ap-4423	97	42	constant	constant	ADJ
ap-4423	97	43	shift	shift	NOUN
ap-4423	97	44	α	α	NOUN
ap-4423	97	45	.	.	PUNCT
ap-4423	98	1	the	the	DET
ap-4423	98	2	transition	transition	NOUN
ap-4423	98	3	ĥ	ĥ	X
ap-4423	98	4	′	′	NUM
ap-4423	98	5	→	→	PUNCT
ap-4423	98	6	ˆ̄h	ˆ̄h	NOUN
ap-4423	98	7	can	can	AUX
ap-4423	98	8	be	be	AUX
ap-4423	98	9	observed	observe	VERB
ap-4423	98	10	in	in	ADP
ap-4423	98	11	figure	figure	NOUN
ap-4423	98	12	2	2	NUM
ap-4423	98	13	,	,	PUNCT
ap-4423	98	14	where	where	SCONJ
ap-4423	98	15	the	the	DET
ap-4423	98	16	real	real	ADJ
ap-4423	98	17	eigenenergies	eigenenergie	NOUN
ap-4423	98	18	of	of	ADP
ap-4423	98	19	eq	eq	NOUN
ap-4423	98	20	.	.	PUNCT
ap-4423	99	1	(	(	PUNCT
ap-4423	99	2	7	7	X
ap-4423	99	3	)	)	PUNCT
ap-4423	99	4	are	be	AUX
ap-4423	99	5	shown	show	VERB
ap-4423	99	6	as	as	ADP
ap-4423	99	7	a	a	DET
ap-4423	99	8	function	function	NOUN
ap-4423	99	9	of	of	ADP
ap-4423	99	10	the	the	DET
ap-4423	99	11	wave	wave	NOUN
ap-4423	99	12	guides	guide	NOUN
ap-4423	99	13	’	'	PUNCT
ap-4423	99	14	distances	distance	NOUN
ap-4423	99	15	.	.	PUNCT
ap-4423	100	1	for	for	ADP
ap-4423	100	2	comparatively	comparatively	ADV
ap-4423	100	3	small	small	ADJ
ap-4423	100	4	distances	distance	NOUN
ap-4423	100	5	the	the	DET
ap-4423	100	6	energies	energy	NOUN
ap-4423	100	7	are	be	AUX
ap-4423	100	8	far	far	ADV
ap-4423	100	9	apart	apart	ADV
ap-4423	100	10	from	from	ADP
ap-4423	100	11	each	each	DET
ap-4423	100	12	other	other	ADJ
ap-4423	100	13	due	due	ADP
ap-4423	100	14	to	to	ADP
ap-4423	100	15	a	a	DET
ap-4423	100	16	stronger	strong	ADJ
ap-4423	100	17	coupling	coupling	NOUN
ap-4423	100	18	between	between	ADP
ap-4423	100	19	the	the	DET
ap-4423	100	20	modes	mode	NOUN
ap-4423	100	21	.	.	PUNCT
ap-4423	101	1	in	in	ADP
ap-4423	101	2	this	this	DET
ap-4423	101	3	range	range	NOUN
ap-4423	101	4	only	only	ADV
ap-4423	101	5	ĥ	ĥ	X
ap-4423	101	6	′	′	NOUN
ap-4423	101	7	describes	describe	VERB
ap-4423	101	8	the	the	DET
ap-4423	101	9	full	full	ADJ
ap-4423	101	10	system	system	NOUN
ap-4423	101	11	correctly	correctly	ADV
ap-4423	101	12	.	.	PUNCT
ap-4423	102	1	for	for	ADP
ap-4423	102	2	larger	large	ADJ
ap-4423	102	3	distances	distance	NOUN
ap-4423	102	4	the	the	DET
ap-4423	102	5	energies	energy	NOUN
ap-4423	102	6	approach	approach	VERB
ap-4423	102	7	each	each	DET
ap-4423	102	8	other	other	ADJ
ap-4423	102	9	,	,	PUNCT
ap-4423	102	10	which	which	PRON
ap-4423	102	11	means	mean	VERB
ap-4423	102	12	that	that	SCONJ
ap-4423	102	13	we	we	PRON
ap-4423	102	14	likewise	likewise	ADV
ap-4423	102	15	obtain	obtain	VERB
ap-4423	102	16	an	an	DET
ap-4423	102	17	accurate	accurate	ADJ
ap-4423	102	18	description	description	NOUN
ap-4423	102	19	of	of	ADP
ap-4423	102	20	the	the	DET
ap-4423	102	21	system	system	NOUN
ap-4423	102	22	in	in	ADP
ap-4423	102	23	terms	term	NOUN
ap-4423	102	24	of	of	ADP
ap-4423	102	25	the	the	DET
ap-4423	102	26	hamiltonian	hamiltonian	ADJ
ap-4423	102	27	ˆ̄h	ˆ̄h	PROPN
ap-4423	102	28	.	.	PUNCT
ap-4423	103	1	this	this	PRON
ap-4423	103	2	is	be	AUX
ap-4423	103	3	the	the	DET
ap-4423	103	4	regime	regime	NOUN
ap-4423	103	5	,	,	PUNCT
ap-4423	103	6	in	in	ADP
ap-4423	103	7	which	which	PRON
ap-4423	103	8	a	a	DET
ap-4423	103	9	search	search	NOUN
ap-4423	103	10	for	for	ADP
ap-4423	103	11	an	an	DET
ap-4423	103	12	ep3	ep3	NOUN
ap-4423	103	13	is	be	AUX
ap-4423	103	14	most	most	ADV
ap-4423	103	15	promising	promising	ADJ
ap-4423	103	16	.	.	PUNCT
ap-4423	104	1	the	the	DET
ap-4423	104	2	small	small	ADJ
ap-4423	104	3	separation	separation	NOUN
ap-4423	104	4	between	between	ADP
ap-4423	104	5	the	the	DET
ap-4423	104	6	modes	mode	NOUN
ap-4423	104	7	also	also	ADV
ap-4423	104	8	ensures	ensure	VERB
ap-4423	104	9	that	that	SCONJ
ap-4423	104	10	they	they	PRON
ap-4423	104	11	are	be	AUX
ap-4423	104	12	well	well	ADV
ap-4423	104	13	separated	separate	VERB
ap-4423	104	14	from	from	ADP
ap-4423	104	15	further	further	ADJ
ap-4423	104	16	states	state	NOUN
ap-4423	104	17	,	,	PUNCT
ap-4423	104	18	and	and	CCONJ
ap-4423	104	19	thus	thus	ADV
ap-4423	104	20	the	the	DET
ap-4423	104	21	reduction	reduction	NOUN
ap-4423	104	22	to	to	ADP
ap-4423	104	23	three	three	NUM
ap-4423	104	24	modes	mode	NOUN
ap-4423	104	25	is	be	AUX
ap-4423	104	26	justified	justify	VERB
ap-4423	104	27	.	.	PUNCT
ap-4423	105	1	knowing	know	VERB
ap-4423	105	2	the	the	DET
ap-4423	105	3	shape	shape	NOUN
ap-4423	105	4	of	of	ADP
ap-4423	105	5	an	an	DET
ap-4423	105	6	appropriate	appropriate	ADJ
ap-4423	105	7	wave	wave	NOUN
ap-4423	105	8	guide	guide	NOUN
ap-4423	105	9	we	we	PRON
ap-4423	105	10	now	now	ADV
ap-4423	105	11	focus	focus	VERB
ap-4423	105	12	on	on	ADP
ap-4423	105	13	a	a	DET
ap-4423	105	14	large	large	ADJ
ap-4423	105	15	separation	separation	NOUN
ap-4423	105	16	between	between	ADP
ap-4423	105	17	the	the	DET
ap-4423	105	18	wave	wave	NOUN
ap-4423	105	19	guides	guide	VERB
ap-4423	105	20	with	with	ADP
ap-4423	105	21	sm	sm	PROPN
ap-4423	105	22	=	=	SYM
ap-4423	105	23	1.0	1.0	NUM
ap-4423	105	24	,	,	PUNCT
ap-4423	105	25	s1	s1	NOUN
ap-4423	105	26	=	=	SYM
ap-4423	105	27	28.0	28.0	NUM
ap-4423	105	28	and	and	CCONJ
ap-4423	105	29	s2	s2	VERB
ap-4423	105	30	=	=	PUNCT
ap-4423	105	31	30.0	30.0	NUM
ap-4423	105	32	and	and	CCONJ
ap-4423	105	33	verify	verify	VERB
ap-4423	105	34	the	the	DET
ap-4423	105	35	existence	existence	NOUN
ap-4423	105	36	of	of	ADP
ap-4423	105	37	the	the	DET
ap-4423	105	38	ep3	ep3	NOUN
ap-4423	105	39	.	.	PUNCT
ap-4423	106	1	we	we	PRON
ap-4423	106	2	find	find	VERB
ap-4423	106	3	it	it	PRON
ap-4423	106	4	in	in	ADP
ap-4423	106	5	the	the	DET
ap-4423	106	6	spectra	spectra	NOUN
ap-4423	106	7	by	by	ADP
ap-4423	106	8	varying	vary	VERB
ap-4423	106	9	the	the	DET
ap-4423	106	10	gain	gain	NOUN
ap-4423	106	11	-	-	PUNCT
ap-4423	106	12	loss	loss	NOUN
ap-4423	106	13	coefficient	coefficient	NOUN
ap-4423	106	14	γ	γ	X
ap-4423	106	15	.	.	PROPN
ap-4423	106	16	as	as	ADP
ap-4423	106	17	in	in	ADP
ap-4423	106	18	the	the	DET
ap-4423	106	19	case	case	NOUN
ap-4423	106	20	of	of	ADP
ap-4423	106	21	the	the	DET
ap-4423	106	22	numerical	numerical	ADJ
ap-4423	106	23	solution	solution	NOUN
ap-4423	106	24	of	of	ADP
ap-4423	106	25	eq	eq	PROPN
ap-4423	106	26	.	.	PUNCT
ap-4423	107	1	(	(	PUNCT
ap-4423	107	2	2	2	X
ap-4423	107	3	)	)	PUNCT
ap-4423	107	4	carried	carry	VERB
ap-4423	107	5	out	out	ADP
ap-4423	107	6	in	in	ADP
ap-4423	107	7	[	[	X
ap-4423	107	8	63	63	NUM
ap-4423	107	9	]	]	PUNCT
ap-4423	107	10	the	the	DET
ap-4423	107	11	ep3	ep3	NOUN
ap-4423	107	12	can	can	AUX
ap-4423	107	13	be	be	AUX
ap-4423	107	14	reached	reach	VERB
ap-4423	107	15	by	by	ADP
ap-4423	107	16	varying	vary	VERB
ap-4423	107	17	only	only	ADV
ap-4423	107	18	one	one	NUM
ap-4423	107	19	parameter	parameter	NOUN
ap-4423	107	20	.	.	PUNCT
ap-4423	108	1	the	the	DET
ap-4423	108	2	result	result	NOUN
ap-4423	108	3	is	be	AUX
ap-4423	108	4	depicted	depict	VERB
ap-4423	108	5	in	in	ADP
ap-4423	108	6	figure	figure	NOUN
ap-4423	108	7	3a	3a	NUM
ap-4423	108	8	.	.	PUNCT
ap-4423	109	1	obviously	obviously	ADV
ap-4423	109	2	we	we	PRON
ap-4423	109	3	obtain	obtain	VERB
ap-4423	109	4	the	the	DET
ap-4423	109	5	coalescence	coalescence	NOUN
ap-4423	109	6	of	of	ADP
ap-4423	109	7	all	all	DET
ap-4423	109	8	three	three	NUM
ap-4423	109	9	real	real	ADJ
ap-4423	109	10	eigenenergies	eigenenergie	NOUN
ap-4423	109	11	for	for	ADP
ap-4423	109	12	γmep3	γmep3	NOUN
ap-4423	109	13	=	=	SYM
ap-4423	109	14	0.0636	0.0636	NUM
ap-4423	109	15	cm−1	cm−1	NOUN
ap-4423	109	16	in	in	ADP
ap-4423	109	17	a	a	DET
ap-4423	109	18	cubic	cubic	ADJ
ap-4423	109	19	root	root	NOUN
ap-4423	109	20	−91.5	−91.5	NOUN
ap-4423	109	21	−91	−91	NOUN
ap-4423	109	22	−90.5	−90.5	NUM
ap-4423	109	23	−90	−90	PRON
ap-4423	109	24	−89.5	−89.5	NOUN
ap-4423	109	25	−89	−89	VERB
ap-4423	109	26	−88.5	−88.5	ADP
ap-4423	109	27	−88	−88	NOUN
ap-4423	109	28	9	9	NUM
ap-4423	109	29	12	12	NUM
ap-4423	109	30	15	15	NUM
ap-4423	109	31	18	18	NUM
ap-4423	109	32	21	21	NUM
ap-4423	109	33	24	24	NUM
ap-4423	109	34	27	27	NUM
ap-4423	109	35	r	r	NOUN
ap-4423	109	36	e	e	NOUN
ap-4423	109	37	(	(	PUNCT
ap-4423	109	38	e	e	NOUN
ap-4423	109	39	)	)	PUNCT
ap-4423	109	40	[	[	PUNCT
ap-4423	109	41	µ	µ	X
ap-4423	109	42	m	m	VERB
ap-4423	109	43	−	−	NOUN
ap-4423	109	44	2	2	NUM
ap-4423	109	45	]	]	PUNCT
ap-4423	109	46	(	(	PUNCT
ap-4423	109	47	s1	s1	PROPN
ap-4423	109	48	−	−	PROPN
ap-4423	109	49	sm	sm	PROPN
ap-4423	109	50	)	)	PUNCT
ap-4423	110	1	[	[	X
ap-4423	110	2	1	1	X
ap-4423	110	3	]	]	PUNCT
ap-4423	110	4	ĥ	ĥ	X
ap-4423	110	5	′	′	NUM
ap-4423	110	6	ˆ̄h	ˆ̄h	NOUN
ap-4423	110	7	−89.504	−89.504	ADJ
ap-4423	110	8	−89.5035	−89.5035	PROPN
ap-4423	110	9	−89.503	−89.503	NOUN
ap-4423	110	10	25	25	NUM
ap-4423	110	11	26	26	NUM
ap-4423	110	12	27	27	NUM
ap-4423	110	13	figure	figure	NOUN
ap-4423	110	14	2	2	NUM
ap-4423	110	15	.	.	PUNCT
ap-4423	111	1	real	real	ADJ
ap-4423	111	2	eigenenergies	eigenenergie	NOUN
ap-4423	111	3	e	e	X
ap-4423	111	4	=	=	SYM
ap-4423	111	5	−β2/2	−β2/2	VERB
ap-4423	111	6	of	of	ADP
ap-4423	111	7	the	the	DET
ap-4423	111	8	hamiltonian	hamiltonian	ADJ
ap-4423	111	9	ĥ	ĥ	X
ap-4423	111	10	′	′	NUM
ap-4423	111	11	as	as	ADP
ap-4423	111	12	a	a	DET
ap-4423	111	13	function	function	NOUN
ap-4423	111	14	of	of	ADP
ap-4423	111	15	the	the	DET
ap-4423	111	16	scaled	scale	VERB
ap-4423	111	17	distance	distance	NOUN
ap-4423	111	18	s1	s1	NOUN
ap-4423	111	19	−	−	PROPN
ap-4423	111	20	sm	sm	INTJ
ap-4423	111	21	between	between	ADP
ap-4423	111	22	the	the	DET
ap-4423	111	23	middle	middle	ADJ
ap-4423	111	24	wave	wave	NOUN
ap-4423	111	25	guide	guide	NOUN
ap-4423	111	26	and	and	CCONJ
ap-4423	111	27	the	the	DET
ap-4423	111	28	outer	outer	ADJ
ap-4423	111	29	ones	one	NOUN
ap-4423	111	30	.	.	PUNCT
ap-4423	112	1	as	as	SCONJ
ap-4423	112	2	there	there	PRON
ap-4423	112	3	is	be	VERB
ap-4423	112	4	a	a	DET
ap-4423	112	5	small	small	ADJ
ap-4423	112	6	separation	separation	NOUN
ap-4423	112	7	between	between	ADP
ap-4423	112	8	the	the	DET
ap-4423	112	9	wave	wave	NOUN
ap-4423	112	10	guides	guide	NOUN
ap-4423	112	11	there	there	PRON
ap-4423	112	12	is	be	VERB
ap-4423	112	13	comparatively	comparatively	ADV
ap-4423	112	14	strong	strong	ADJ
ap-4423	112	15	coupling	coupling	NOUN
ap-4423	112	16	among	among	ADP
ap-4423	112	17	the	the	DET
ap-4423	112	18	modes	mode	NOUN
ap-4423	112	19	(	(	PUNCT
ap-4423	112	20	grey	grey	ADJ
ap-4423	112	21	area	area	NOUN
ap-4423	112	22	)	)	PUNCT
ap-4423	112	23	.	.	PUNCT
ap-4423	113	1	with	with	ADP
ap-4423	113	2	increasing	increase	VERB
ap-4423	113	3	distance	distance	NOUN
ap-4423	113	4	the	the	DET
ap-4423	113	5	coupling	coupling	NOUN
ap-4423	113	6	becomes	become	VERB
ap-4423	113	7	negligible	negligible	ADJ
ap-4423	113	8	and	and	CCONJ
ap-4423	113	9	the	the	DET
ap-4423	113	10	system	system	NOUN
ap-4423	113	11	is	be	AUX
ap-4423	113	12	well	well	ADV
ap-4423	113	13	described	describe	VERB
ap-4423	113	14	by	by	ADP
ap-4423	113	15	the	the	DET
ap-4423	113	16	new	new	ADJ
ap-4423	113	17	hamiltonian	hamiltonian	ADJ
ap-4423	113	18	ˆ̄h	ˆ̄h	PROPN
ap-4423	113	19	from	from	ADP
ap-4423	113	20	eq	eq	PROPN
ap-4423	113	21	.	.	PUNCT
ap-4423	114	1	(	(	PUNCT
ap-4423	114	2	8)	8)	NUM
ap-4423	114	3	.	.	PUNCT
ap-4423	114	4	branch	branch	NOUN
ap-4423	114	5	point	point	NOUN
ap-4423	114	6	singularity	singularity	NOUN
ap-4423	114	7	.	.	PUNCT
ap-4423	115	1	beyond	beyond	ADP
ap-4423	115	2	this	this	DET
ap-4423	115	3	point	point	NOUN
ap-4423	115	4	the	the	DET
ap-4423	115	5	spectrum	spectrum	NOUN
ap-4423	115	6	becomes	become	VERB
ap-4423	115	7	complex	complex	ADJ
ap-4423	115	8	with	with	ADP
ap-4423	115	9	two	two	NUM
ap-4423	115	10	complex	complex	ADJ
ap-4423	115	11	conjugate	conjugate	ADJ
ap-4423	115	12	energies	energy	NOUN
ap-4423	115	13	and	and	CCONJ
ap-4423	115	14	one	one	NUM
ap-4423	115	15	with	with	ADP
ap-4423	115	16	vanishing	vanish	VERB
ap-4423	115	17	imaginary	imaginary	ADJ
ap-4423	115	18	part	part	NOUN
ap-4423	115	19	.	.	PUNCT
ap-4423	116	1	note	note	VERB
ap-4423	116	2	that	that	SCONJ
ap-4423	116	3	the	the	DET
ap-4423	116	4	middle	middle	ADJ
ap-4423	116	5	state	state	NOUN
ap-4423	116	6	stays	stay	VERB
ap-4423	116	7	widely	widely	ADV
ap-4423	116	8	unaffected	unaffected	ADJ
ap-4423	116	9	by	by	ADP
ap-4423	116	10	an	an	DET
ap-4423	116	11	increase	increase	NOUN
ap-4423	116	12	of	of	ADP
ap-4423	116	13	the	the	DET
ap-4423	116	14	non	non	ADJ
ap-4423	116	15	-	-	ADJ
ap-4423	116	16	hermiticity	hermiticity	ADJ
ap-4423	116	17	parameter	parameter	NOUN
ap-4423	116	18	,	,	PUNCT
ap-4423	116	19	which	which	PRON
ap-4423	116	20	is	be	AUX
ap-4423	116	21	also	also	ADV
ap-4423	116	22	found	find	VERB
ap-4423	116	23	in	in	ADP
ap-4423	116	24	the	the	DET
ap-4423	116	25	more	more	ADV
ap-4423	116	26	realistic	realistic	ADJ
ap-4423	116	27	descriptions	description	NOUN
ap-4423	117	1	[	[	X
ap-4423	117	2	30	30	NUM
ap-4423	117	3	,	,	PUNCT
ap-4423	117	4	63	63	NUM
ap-4423	117	5	]	]	PUNCT
ap-4423	117	6	as	as	ADV
ap-4423	117	7	well	well	ADV
ap-4423	117	8	as	as	ADP
ap-4423	117	9	flat	flat	ADJ
ap-4423	117	10	band	band	NOUN
ap-4423	117	11	systems	system	NOUN
ap-4423	118	1	[	[	X
ap-4423	118	2	64	64	NUM
ap-4423	118	3	,	,	PUNCT
ap-4423	118	4	65	65	NUM
ap-4423	118	5	]	]	PUNCT
ap-4423	118	6	.	.	PUNCT
ap-4423	119	1	to	to	PART
ap-4423	119	2	ascertain	ascertain	VERB
ap-4423	119	3	that	that	SCONJ
ap-4423	119	4	this	this	PRON
ap-4423	119	5	is	be	AUX
ap-4423	119	6	indeed	indeed	ADV
ap-4423	119	7	an	an	DET
ap-4423	119	8	ep3	ep3	NOUN
ap-4423	119	9	we	we	PRON
ap-4423	119	10	follow	follow	VERB
ap-4423	119	11	a	a	DET
ap-4423	119	12	standard	standard	ADJ
ap-4423	119	13	procedure	procedure	NOUN
ap-4423	119	14	and	and	CCONJ
ap-4423	119	15	perform	perform	VERB
ap-4423	119	16	a	a	DET
ap-4423	119	17	closed	closed	ADJ
ap-4423	119	18	loop	loop	NOUN
ap-4423	119	19	in	in	ADP
ap-4423	119	20	a	a	DET
ap-4423	119	21	suitable	suitable	ADJ
ap-4423	119	22	parameter	parameter	NOUN
ap-4423	119	23	space	space	NOUN
ap-4423	119	24	around	around	ADP
ap-4423	119	25	the	the	DET
ap-4423	119	26	supposed	suppose	VERB
ap-4423	119	27	branch	branch	NOUN
ap-4423	119	28	point	point	NOUN
ap-4423	119	29	singularity	singularity	NOUN
ap-4423	119	30	.	.	PUNCT
ap-4423	120	1	to	to	PART
ap-4423	120	2	do	do	VERB
ap-4423	120	3	so	so	ADV
ap-4423	120	4	we	we	PRON
ap-4423	120	5	have	have	VERB
ap-4423	120	6	to	to	PART
ap-4423	120	7	introduce	introduce	VERB
ap-4423	120	8	the	the	DET
ap-4423	120	9	complex	complex	ADJ
ap-4423	120	10	parameters	parameter	NOUN
ap-4423	120	11	a	a	PRON
ap-4423	120	12	,	,	PUNCT
ap-4423	120	13	b	b	PROPN
ap-4423	120	14	from	from	ADP
ap-4423	120	15	eq	eq	PROPN
ap-4423	120	16	.	.	PUNCT
ap-4423	121	1	(	(	PUNCT
ap-4423	121	2	5	5	X
ap-4423	121	3	)	)	PUNCT
ap-4423	121	4	breaking	break	VERB
ap-4423	121	5	the	the	DET
ap-4423	121	6	underlying	underlie	VERB
ap-4423	121	7	pt	pt	NOUN
ap-4423	121	8	symmetry	symmetry	NOUN
ap-4423	121	9	.	.	PUNCT
ap-4423	122	1	we	we	PRON
ap-4423	122	2	restrict	restrict	VERB
ap-4423	122	3	ourselves	ourselves	PRON
ap-4423	122	4	to	to	ADP
ap-4423	122	5	the	the	DET
ap-4423	122	6	specific	specific	ADJ
ap-4423	122	7	choice	choice	NOUN
ap-4423	122	8	a	a	DET
ap-4423	122	9	=	=	SYM
ap-4423	122	10	b	b	NOUN
ap-4423	122	11	=	=	SYM
ap-4423	122	12	ar	ar	PROPN
ap-4423	122	13	+	+	NOUN
ap-4423	122	14	iai	iai	VERB
ap-4423	122	15	and	and	CCONJ
ap-4423	122	16	add	add	VERB
ap-4423	122	17	this	this	PRON
ap-4423	122	18	to	to	ADP
ap-4423	122	19	ˆ̄h	ˆ̄h	NOUN
ap-4423	122	20	,	,	PUNCT
ap-4423	122	21	ending	end	VERB
ap-4423	122	22	up	up	ADP
ap-4423	122	23	with	with	ADP
ap-4423	122	24	ĥa	ĥa	NOUN
ap-4423	122	25	=	=	VERB
ap-4423	122	26	ˆ̄h	ˆ̄h	NOUN
ap-4423	122	27	+	+	CCONJ
ap-4423	122	28	a	a	DET
ap-4423	122	29	1	1	NUM
ap-4423	122	30	0	0	NUM
ap-4423	122	31	0	0	NUM
ap-4423	122	32	0	0	NUM
ap-4423	122	33	0	0	NUM
ap-4423	122	34	0	0	NUM
ap-4423	122	35	0	0	NUM
ap-4423	122	36	0	0	NUM
ap-4423	122	37	1	1	NUM
ap-4423	122	38			PROPN
ap-4423	122	39	.	.	PUNCT
ap-4423	123	1	(	(	PUNCT
ap-4423	123	2	9	9	X
ap-4423	123	3	)	)	PUNCT
ap-4423	123	4	using	use	VERB
ap-4423	123	5	this	this	DET
ap-4423	123	6	form	form	NOUN
ap-4423	123	7	the	the	DET
ap-4423	123	8	circle	circle	NOUN
ap-4423	123	9	is	be	AUX
ap-4423	123	10	performed	perform	VERB
ap-4423	123	11	in	in	ADP
ap-4423	123	12	the	the	DET
ap-4423	123	13	complex	complex	ADJ
ap-4423	123	14	plane	plane	NOUN
ap-4423	123	15	of	of	ADP
ap-4423	123	16	a	a	PRON
ap-4423	123	17	along	along	ADP
ap-4423	123	18	an	an	DET
ap-4423	123	19	ellipse	ellipse	NOUN
ap-4423	123	20	with	with	ADP
ap-4423	123	21	the	the	DET
ap-4423	123	22	parametrization	parametrization	NOUN
ap-4423	124	1	[	[	X
ap-4423	124	2	0	0	NUM
ap-4423	124	3	,	,	PUNCT
ap-4423	124	4	2π]→	2π]→	NUM
ap-4423	124	5	r2	r2	NOUN
ap-4423	124	6	,	,	PUNCT
ap-4423	124	7	ϕ	ϕ	PROPN
ap-4423	124	8	7→	7→	NUM
ap-4423	124	9	(	(	PUNCT
ap-4423	124	10	ar	ar	NOUN
ap-4423	124	11	ai	ai	PROPN
ap-4423	124	12	)	)	PUNCT
ap-4423	124	13	=	=	PRON
ap-4423	124	14	(	(	PUNCT
ap-4423	124	15	10−5	10−5	NUM
ap-4423	124	16	cosϕ	cosϕ	NOUN
ap-4423	124	17	10−6	10−6	NUM
ap-4423	124	18	sinϕ	sinϕ	NOUN
ap-4423	124	19	)	)	PUNCT
ap-4423	124	20	(	(	PUNCT
ap-4423	124	21	10	10	NUM
ap-4423	124	22	)	)	PUNCT
ap-4423	124	23	as	as	SCONJ
ap-4423	124	24	illustrated	illustrate	VERB
ap-4423	124	25	in	in	ADP
ap-4423	124	26	figure	figure	NOUN
ap-4423	124	27	3c	3c	NUM
ap-4423	124	28	.	.	PUNCT
ap-4423	125	1	the	the	DET
ap-4423	125	2	corresponding	correspond	VERB
ap-4423	125	3	state	state	NOUN
ap-4423	125	4	permutation	permutation	NOUN
ap-4423	125	5	is	be	AUX
ap-4423	125	6	depicted	depict	VERB
ap-4423	125	7	in	in	ADP
ap-4423	125	8	figure	figure	NOUN
ap-4423	125	9	3b	3b	NOUN
ap-4423	125	10	and	and	CCONJ
ap-4423	125	11	clearly	clearly	ADV
ap-4423	125	12	exhibits	exhibit	VERB
ap-4423	125	13	the	the	DET
ap-4423	125	14	threefold	threefold	ADJ
ap-4423	125	15	exchange	exchange	NOUN
ap-4423	125	16	behaviour	behaviour	NOUN
ap-4423	125	17	of	of	ADP
ap-4423	125	18	an	an	DET
ap-4423	125	19	ep3	ep3	NOUN
ap-4423	125	20	.	.	PROPN
ap-4423	126	1	4	4	NUM
ap-4423	126	2	.	.	X
ap-4423	126	3	continuously	continuously	ADV
ap-4423	126	4	distributed	distribute	VERB
ap-4423	126	5	exceptional	exceptional	ADJ
ap-4423	126	6	points	point	NOUN
ap-4423	126	7	around	around	ADP
ap-4423	126	8	the	the	DET
ap-4423	126	9	ep3	ep3	NOUN
ap-4423	126	10	the	the	DET
ap-4423	126	11	third	third	ADJ
ap-4423	126	12	-	-	PUNCT
ap-4423	126	13	order	order	NOUN
ap-4423	126	14	exceptional	exceptional	ADJ
ap-4423	126	15	point	point	NOUN
ap-4423	126	16	investigated	investigate	VERB
ap-4423	126	17	in	in	ADP
ap-4423	126	18	section	section	NOUN
ap-4423	126	19	3	3	NUM
ap-4423	126	20	was	be	AUX
ap-4423	126	21	verified	verify	VERB
ap-4423	126	22	with	with	ADP
ap-4423	126	23	a	a	DET
ap-4423	126	24	parameter	parameter	NOUN
ap-4423	126	25	space	space	NOUN
ap-4423	126	26	circle	circle	NOUN
ap-4423	126	27	and	and	CCONJ
ap-4423	126	28	its	its	PRON
ap-4423	126	29	typical	typical	ADJ
ap-4423	126	30	threefold	threefold	ADJ
ap-4423	126	31	permutation	permutation	NOUN
ap-4423	126	32	behaviour	behaviour	NOUN
ap-4423	126	33	.	.	PUNCT
ap-4423	127	1	as	as	SCONJ
ap-4423	127	2	was	be	AUX
ap-4423	127	3	found	find	VERB
ap-4423	127	4	in	in	ADP
ap-4423	127	5	[	[	X
ap-4423	127	6	63	63	NUM
ap-4423	127	7	]	]	PUNCT
ap-4423	127	8	this	this	PRON
ap-4423	127	9	can	can	AUX
ap-4423	127	10	become	become	VERB
ap-4423	127	11	a	a	DET
ap-4423	127	12	difficult	difficult	ADJ
ap-4423	127	13	task	task	NOUN
ap-4423	127	14	in	in	ADP
ap-4423	127	15	a	a	DET
ap-4423	127	16	realistic	realistic	ADJ
ap-4423	127	17	setup	setup	NOUN
ap-4423	127	18	.	.	PUNCT
ap-4423	128	1	on	on	ADP
ap-4423	128	2	the	the	DET
ap-4423	128	3	one	one	NUM
ap-4423	128	4	hand	hand	NOUN
ap-4423	128	5	,	,	PUNCT
ap-4423	128	6	not	not	PART
ap-4423	128	7	every	every	DET
ap-4423	128	8	parameter	parameter	NOUN
ap-4423	128	9	space	space	NOUN
ap-4423	128	10	circle	circle	NOUN
ap-4423	128	11	leads	lead	VERB
ap-4423	128	12	to	to	ADP
ap-4423	128	13	the	the	DET
ap-4423	128	14	threefold	threefold	ADJ
ap-4423	128	15	permutation	permutation	NOUN
ap-4423	128	16	.	.	PUNCT
ap-4423	129	1	a	a	DET
ap-4423	129	2	twofold	twofold	NOUN
ap-4423	129	3	456	456	NUM
ap-4423	129	4	vol	vol	NOUN
ap-4423	129	5	.	.	PUNCT
ap-4423	130	1	57	57	NUM
ap-4423	130	2	no	no	NOUN
ap-4423	130	3	.	.	PUNCT
ap-4423	131	1	6/2017	6/2017	NUM
ap-4423	131	2	simple	simple	ADJ
ap-4423	131	3	models	model	NOUN
ap-4423	131	4	of	of	ADP
ap-4423	131	5	three	three	NUM
ap-4423	131	6	coupled	couple	VERB
ap-4423	131	7	pt	pt	NOUN
ap-4423	131	8	-symmetric	-symmetric	ADJ
ap-4423	131	9	wave	wave	NOUN
ap-4423	131	10	guides	guide	NOUN
ap-4423	131	11	-89.50356	-89.50356	PUNCT
ap-4423	131	12	-89.50353	-89.50353	PUNCT
ap-4423	131	13	-89.50350	-89.50350	NUM
ap-4423	131	14	-89.50347	-89.50347	PUNCT
ap-4423	131	15	-89.50344	-89.50344	PUNCT
ap-4423	131	16	-89.50341	-89.50341	PUNCT
ap-4423	131	17	0.0	0.0	NUM
ap-4423	131	18	000	000	NUM
ap-4423	131	19	00	00	NUM
ap-4423	131	20	0.0	0.0	NUM
ap-4423	131	21	150	150	NUM
ap-4423	131	22	00	00	NUM
ap-4423	131	23	0.0	0.0	NUM
ap-4423	131	24	300	300	NUM
ap-4423	131	25	00	00	NUM
ap-4423	131	26	0.0	0.0	NUM
ap-4423	131	27	450	450	NUM
ap-4423	131	28	00	00	NUM
ap-4423	131	29	0.0	0.0	NUM
ap-4423	131	30	600	600	NUM
ap-4423	131	31	00	00	NUM
ap-4423	131	32	0.0	0.0	NUM
ap-4423	131	33	750	750	NUM
ap-4423	131	34	00	00	NUM
ap-4423	132	1	r	r	NOUN
ap-4423	132	2	e	e	NOUN
ap-4423	132	3	(	(	PUNCT
ap-4423	132	4	e	e	NOUN
ap-4423	132	5	)	)	PUNCT
ap-4423	132	6	[	[	PUNCT
ap-4423	132	7	µ	µ	X
ap-4423	132	8	m	m	VERB
ap-4423	132	9	−	−	NOUN
ap-4423	132	10	2	2	NUM
ap-4423	132	11	]	]	PUNCT
ap-4423	132	12	γ	γ	X
ap-4423	132	13	[	[	PUNCT
ap-4423	132	14	cm−1	cm−1	NOUN
ap-4423	132	15	]	]	PUNCT
ap-4423	132	16	a	a	X
ap-4423	132	17	)	)	PUNCT
ap-4423	132	18	γmep3	γmep3	NUM
ap-4423	133	1	-3.000000	-3.000000	X
ap-4423	133	2	-1.500000	-1.500000	X
ap-4423	134	1	0.000000	0.000000	NUM
ap-4423	134	2	1.500000	1.500000	NUM
ap-4423	134	3	3.000000	3.000000	NUM
ap-4423	134	4	-89	-89	PUNCT
ap-4423	134	5	.50	.50	NUM
ap-4423	134	6	352	352	NUM
ap-4423	134	7	0	0	NUM
ap-4423	134	8	-89	-89	SYM
ap-4423	134	9	.50	.50	NUM
ap-4423	134	10	350	350	NUM
ap-4423	134	11	0	0	NUM
ap-4423	134	12	-89	-89	SYM
ap-4423	134	13	.50	.50	NUM
ap-4423	135	1	348	348	NUM
ap-4423	135	2	0	0	NUM
ap-4423	135	3	-89	-89	SYM
ap-4423	135	4	.50	.50	NUM
ap-4423	136	1	346	346	NUM
ap-4423	136	2	0	0	NUM
ap-4423	137	1	i	i	PRON
ap-4423	137	2	m	m	VERB
ap-4423	137	3	(	(	PUNCT
ap-4423	137	4	e	e	NOUN
ap-4423	137	5	)	)	PUNCT
ap-4423	138	1	[	[	X
ap-4423	138	2	a	a	DET
ap-4423	138	3	.u	.u	NOUN
ap-4423	138	4	.	.	PUNCT
ap-4423	138	5	]	]	PUNCT
ap-4423	139	1	re(e	re(e	X
ap-4423	139	2	)	)	PUNCT
ap-4423	139	3	[	[	PUNCT
ap-4423	139	4	µm−2	µm−2	ADP
ap-4423	139	5	]	]	PUNCT
ap-4423	139	6	b	b	X
ap-4423	139	7	)	)	PUNCT
ap-4423	139	8	×10−5	×10−5	PROPN
ap-4423	139	9	ep3	ep3	PROPN
ap-4423	139	10	-1.000000	-1.000000	X
ap-4423	139	11	-0.500000	-0.500000	NUM
ap-4423	140	1	0.000000	0.000000	NUM
ap-4423	140	2	0.500000	0.500000	NUM
ap-4423	140	3	1.000000	1.000000	NUM
ap-4423	140	4	-1.0	-1.0	PROPN
ap-4423	140	5	000	000	NUM
ap-4423	140	6	00	00	NUM
ap-4423	140	7	-0.5	-0.5	NUM
ap-4423	140	8	000	000	NUM
ap-4423	140	9	00	00	NUM
ap-4423	140	10	0.0	0.0	NUM
ap-4423	140	11	000	000	NUM
ap-4423	140	12	00	00	NUM
ap-4423	140	13	0.5	0.5	NUM
ap-4423	140	14	000	000	NUM
ap-4423	140	15	00	00	NUM
ap-4423	140	16	1.0	1.0	NUM
ap-4423	140	17	000	000	NUM
ap-4423	140	18	00	00	NUM
ap-4423	141	1	a	a	DET
ap-4423	141	2	i	i	PRON
ap-4423	142	1	[	[	X
ap-4423	142	2	a	a	DET
ap-4423	142	3	.u	.u	NOUN
ap-4423	142	4	.	.	PUNCT
ap-4423	142	5	]	]	PUNCT
ap-4423	143	1	ar	ar	PROPN
ap-4423	143	2	[	[	X
ap-4423	143	3	a.u	a.u	PROPN
ap-4423	143	4	.	.	NOUN
ap-4423	143	5	]	]	PUNCT
ap-4423	144	1	c)×10−6	c)×10−6	PUNCT
ap-4423	144	2	×10−5	×10−5	PROPN
ap-4423	144	3	ep3	ep3	PROPN
ap-4423	144	4	e1	e1	PROPN
ap-4423	144	5	e2	e2	PROPN
ap-4423	144	6	e3	e3	NOUN
ap-4423	144	7	figure	figure	NOUN
ap-4423	144	8	3	3	NUM
ap-4423	144	9	.	.	NOUN
ap-4423	144	10	evidence	evidence	NOUN
ap-4423	144	11	of	of	ADP
ap-4423	144	12	a	a	DET
ap-4423	144	13	third	third	ADJ
ap-4423	144	14	-	-	PUNCT
ap-4423	144	15	order	order	NOUN
ap-4423	144	16	exceptional	exceptional	ADJ
ap-4423	144	17	point	point	NOUN
ap-4423	144	18	in	in	ADP
ap-4423	144	19	the	the	DET
ap-4423	144	20	matrix	matrix	NOUN
ap-4423	144	21	model	model	NOUN
ap-4423	144	22	for	for	ADP
ap-4423	144	23	a	a	DET
ap-4423	144	24	large	large	ADJ
ap-4423	144	25	separation	separation	NOUN
ap-4423	144	26	between	between	ADP
ap-4423	144	27	the	the	DET
ap-4423	144	28	wave	wave	NOUN
ap-4423	144	29	guides	guide	NOUN
ap-4423	144	30	(	(	PUNCT
ap-4423	144	31	sm	sm	X
ap-4423	144	32	=	=	SYM
ap-4423	144	33	1.0	1.0	NUM
ap-4423	144	34	,	,	PUNCT
ap-4423	144	35	s1	s1	NOUN
ap-4423	144	36	=	=	SYM
ap-4423	144	37	28.0	28.0	NUM
ap-4423	144	38	,	,	PUNCT
ap-4423	144	39	s2	s2	X
ap-4423	144	40	=	=	PUNCT
ap-4423	144	41	30.0	30.0	NUM
ap-4423	144	42	)	)	PUNCT
ap-4423	144	43	.	.	PUNCT
ap-4423	145	1	the	the	DET
ap-4423	145	2	real	real	ADJ
ap-4423	145	3	index	index	NOUN
ap-4423	145	4	difference	difference	NOUN
ap-4423	145	5	to	to	ADP
ap-4423	145	6	the	the	DET
ap-4423	145	7	background	background	NOUN
ap-4423	145	8	material	material	NOUN
ap-4423	145	9	(	(	PUNCT
ap-4423	145	10	∆n	∆n	NOUN
ap-4423	145	11	=	=	SYM
ap-4423	145	12	1.3	1.3	NUM
ap-4423	145	13	×	×	NOUN
ap-4423	145	14	10−3	10−3	NUM
ap-4423	145	15	)	)	PUNCT
ap-4423	145	16	was	be	AUX
ap-4423	145	17	set	set	VERB
ap-4423	145	18	to	to	PART
ap-4423	145	19	be	be	AUX
ap-4423	145	20	equal	equal	ADJ
ap-4423	145	21	for	for	ADP
ap-4423	145	22	all	all	DET
ap-4423	145	23	three	three	NUM
ap-4423	145	24	wave	wave	NOUN
ap-4423	145	25	guides	guide	NOUN
ap-4423	145	26	,	,	PUNCT
ap-4423	146	1	i.e.	i.e.	X
ap-4423	146	2	nm	nm	ADJ
ap-4423	146	3	=	=	NOUN
ap-4423	146	4	0	0	NUM
ap-4423	146	5	.	.	PUNCT
ap-4423	147	1	the	the	DET
ap-4423	147	2	coalescence	coalescence	NOUN
ap-4423	147	3	of	of	ADP
ap-4423	147	4	the	the	DET
ap-4423	147	5	three	three	NUM
ap-4423	147	6	eigenenergies	eigenenergie	NOUN
ap-4423	147	7	as	as	ADP
ap-4423	147	8	a	a	DET
ap-4423	147	9	function	function	NOUN
ap-4423	147	10	of	of	ADP
ap-4423	147	11	the	the	DET
ap-4423	147	12	non	non	ADJ
ap-4423	147	13	-	-	ADJ
ap-4423	147	14	hermiticity	hermiticity	ADJ
ap-4423	147	15	parameter	parameter	NOUN
ap-4423	147	16	γ	γ	PROPN
ap-4423	147	17	is	be	AUX
ap-4423	147	18	depicted	depict	VERB
ap-4423	147	19	in	in	ADP
ap-4423	147	20	a	a	PRON
ap-4423	147	21	)	)	PUNCT
ap-4423	147	22	and	and	CCONJ
ap-4423	147	23	appears	appear	VERB
ap-4423	147	24	at	at	ADP
ap-4423	147	25	γep3	γep3	PROPN
ap-4423	147	26	=	=	PROPN
ap-4423	147	27	0.0636	0.0636	NUM
ap-4423	147	28	cm−1	cm−1	NOUN
ap-4423	147	29	.	.	PUNCT
ap-4423	148	1	the	the	DET
ap-4423	148	2	lower	low	ADJ
ap-4423	148	3	panel	panel	NOUN
ap-4423	148	4	shows	show	VERB
ap-4423	148	5	the	the	DET
ap-4423	148	6	characteristic	characteristic	ADJ
ap-4423	148	7	state	state	NOUN
ap-4423	148	8	permutation	permutation	NOUN
ap-4423	148	9	of	of	ADP
ap-4423	148	10	an	an	DET
ap-4423	148	11	ep3	ep3	PROPN
ap-4423	148	12	b	b	NOUN
ap-4423	148	13	)	)	PUNCT
ap-4423	148	14	as	as	SCONJ
ap-4423	148	15	one	one	NUM
ap-4423	148	16	performs	perform	VERB
ap-4423	148	17	a	a	DET
ap-4423	148	18	closed	closed	ADJ
ap-4423	148	19	loop	loop	NOUN
ap-4423	148	20	around	around	ADP
ap-4423	148	21	it	it	PRON
ap-4423	148	22	in	in	ADP
ap-4423	148	23	a	a	DET
ap-4423	148	24	specific	specific	ADJ
ap-4423	148	25	parameter	parameter	NOUN
ap-4423	148	26	space	space	NOUN
ap-4423	148	27	c	c	NOUN
ap-4423	148	28	)	)	PUNCT
ap-4423	148	29	.	.	PUNCT
ap-4423	149	1	here	here	ADV
ap-4423	149	2	we	we	PRON
ap-4423	149	3	circle	circle	VERB
ap-4423	149	4	the	the	DET
ap-4423	149	5	ep3	ep3	PROPN
ap-4423	149	6	counter	counter	NOUN
ap-4423	149	7	clockwise	clockwise	NOUN
ap-4423	149	8	in	in	ADP
ap-4423	149	9	the	the	DET
ap-4423	149	10	complex	complex	ADJ
ap-4423	149	11	plane	plane	NOUN
ap-4423	149	12	of	of	ADP
ap-4423	149	13	the	the	DET
ap-4423	149	14	asymmetry	asymmetry	NOUN
ap-4423	149	15	parameter	parameter	NOUN
ap-4423	149	16	a	a	DET
ap-4423	149	17	=	=	X
ap-4423	149	18	ar	ar	PROPN
ap-4423	149	19	+	+	X
ap-4423	149	20	iai	iai	ADJ
ap-4423	149	21	,	,	PUNCT
ap-4423	149	22	where	where	SCONJ
ap-4423	149	23	the	the	DET
ap-4423	149	24	specific	specific	ADJ
ap-4423	149	25	symbols	symbol	NOUN
ap-4423	149	26	mark	mark	VERB
ap-4423	149	27	the	the	DET
ap-4423	149	28	starting	starting	NOUN
ap-4423	149	29	points	point	NOUN
ap-4423	149	30	of	of	ADP
ap-4423	149	31	the	the	DET
ap-4423	149	32	permutation	permutation	NOUN
ap-4423	149	33	and	and	CCONJ
ap-4423	149	34	the	the	DET
ap-4423	149	35	arrows	arrow	NOUN
ap-4423	149	36	the	the	DET
ap-4423	149	37	corresponding	corresponding	ADJ
ap-4423	149	38	direction	direction	NOUN
ap-4423	149	39	.	.	PUNCT
ap-4423	150	1	state	state	NOUN
ap-4423	150	2	exchange	exchange	PROPN
ap-4423	150	3	misleadingly	misleadingly	ADV
ap-4423	150	4	indicating	indicate	VERB
ap-4423	150	5	an	an	DET
ap-4423	150	6	ep2	ep2	PROPN
ap-4423	150	7	is	be	AUX
ap-4423	150	8	also	also	ADV
ap-4423	150	9	possible	possible	ADJ
ap-4423	150	10	for	for	ADP
ap-4423	150	11	certain	certain	ADJ
ap-4423	150	12	parameter	parameter	NOUN
ap-4423	150	13	choices	choice	NOUN
ap-4423	150	14	[	[	X
ap-4423	150	15	29	29	NUM
ap-4423	150	16	,	,	PUNCT
ap-4423	150	17	32	32	NUM
ap-4423	150	18	]	]	PUNCT
ap-4423	150	19	.	.	PUNCT
ap-4423	151	1	on	on	ADP
ap-4423	151	2	the	the	DET
ap-4423	151	3	other	other	ADJ
ap-4423	151	4	hand	hand	NOUN
ap-4423	151	5	,	,	PUNCT
ap-4423	151	6	additional	additional	ADJ
ap-4423	151	7	exceptional	exceptional	ADJ
ap-4423	151	8	points	point	NOUN
ap-4423	151	9	,	,	PUNCT
ap-4423	151	10	which	which	PRON
ap-4423	151	11	are	be	AUX
ap-4423	151	12	accidentally	accidentally	ADV
ap-4423	151	13	located	locate	VERB
ap-4423	151	14	within	within	ADP
ap-4423	151	15	the	the	DET
ap-4423	151	16	area	area	NOUN
ap-4423	151	17	enclosed	enclose	VERB
ap-4423	151	18	by	by	ADP
ap-4423	151	19	the	the	DET
ap-4423	151	20	parameter	parameter	PROPN
ap-4423	151	21	space	space	PROPN
ap-4423	151	22	loop	loop	PROPN
ap-4423	151	23	,	,	PUNCT
ap-4423	151	24	can	can	AUX
ap-4423	151	25	distort	distort	VERB
ap-4423	151	26	the	the	DET
ap-4423	151	27	signature	signature	NOUN
ap-4423	151	28	of	of	ADP
ap-4423	151	29	the	the	DET
ap-4423	151	30	ep3	ep3	PROPN
ap-4423	151	31	.	.	PUNCT
ap-4423	152	1	in	in	ADP
ap-4423	152	2	the	the	DET
ap-4423	152	3	spatially	spatially	ADV
ap-4423	152	4	extended	extended	ADJ
ap-4423	152	5	investigation	investigation	NOUN
ap-4423	152	6	of	of	ADP
ap-4423	152	7	[	[	X
ap-4423	152	8	63	63	NUM
ap-4423	152	9	]	]	PUNCT
ap-4423	152	10	it	it	PRON
ap-4423	152	11	turned	turn	VERB
ap-4423	152	12	out	out	ADP
ap-4423	152	13	that	that	SCONJ
ap-4423	152	14	the	the	DET
ap-4423	152	15	ep3	ep3	NOUN
ap-4423	152	16	is	be	AUX
ap-4423	152	17	accompanied	accompany	VERB
ap-4423	152	18	by	by	ADP
ap-4423	152	19	continuous	continuous	ADJ
ap-4423	152	20	distributions	distribution	NOUN
ap-4423	152	21	of	of	ADP
ap-4423	152	22	exceptional	exceptional	ADJ
ap-4423	152	23	points	point	NOUN
ap-4423	152	24	in	in	ADP
ap-4423	152	25	such	such	DET
ap-4423	152	26	a	a	DET
ap-4423	152	27	way	way	NOUN
ap-4423	152	28	that	that	PRON
ap-4423	152	29	it	it	PRON
ap-4423	152	30	is	be	AUX
ap-4423	152	31	very	very	ADV
ap-4423	152	32	hard	hard	ADJ
ap-4423	152	33	to	to	PART
ap-4423	152	34	find	find	VERB
ap-4423	152	35	a	a	DET
ap-4423	152	36	parameter	parameter	NOUN
ap-4423	152	37	plane	plane	NOUN
ap-4423	152	38	,	,	PUNCT
ap-4423	152	39	in	in	ADP
ap-4423	152	40	which	which	PRON
ap-4423	152	41	a	a	DET
ap-4423	152	42	circle	circle	NOUN
ap-4423	152	43	reveals	reveal	VERB
ap-4423	152	44	the	the	DET
ap-4423	152	45	pure	pure	ADJ
ap-4423	152	46	cubic	cubic	ADJ
ap-4423	152	47	-	-	PUNCT
ap-4423	152	48	root	root	NOUN
ap-4423	152	49	branch	branch	NOUN
ap-4423	152	50	point	point	NOUN
ap-4423	152	51	signature	signature	NOUN
ap-4423	152	52	of	of	ADP
ap-4423	152	53	the	the	DET
ap-4423	152	54	ep3	ep3	PROPN
ap-4423	152	55	.	.	PUNCT
ap-4423	153	1	here	here	ADV
ap-4423	153	2	we	we	PRON
ap-4423	153	3	show	show	VERB
ap-4423	153	4	that	that	SCONJ
ap-4423	153	5	this	this	PRON
ap-4423	153	6	is	be	AUX
ap-4423	153	7	not	not	PART
ap-4423	153	8	only	only	ADV
ap-4423	153	9	a	a	DET
ap-4423	153	10	property	property	NOUN
ap-4423	153	11	of	of	ADP
ap-4423	153	12	the	the	DET
ap-4423	153	13	special	special	ADJ
ap-4423	153	14	shape	shape	NOUN
ap-4423	153	15	of	of	ADP
ap-4423	153	16	the	the	DET
ap-4423	153	17	three	three	NUM
ap-4423	153	18	wave	wave	NOUN
ap-4423	153	19	guides	guide	NOUN
ap-4423	153	20	used	use	VERB
ap-4423	153	21	in	in	ADP
ap-4423	153	22	[	[	X
ap-4423	153	23	63	63	NUM
ap-4423	153	24	]	]	PUNCT
ap-4423	153	25	but	but	CCONJ
ap-4423	153	26	a	a	DET
ap-4423	153	27	generic	generic	ADJ
ap-4423	153	28	feature	feature	NOUN
ap-4423	153	29	of	of	ADP
ap-4423	153	30	three	three	NUM
ap-4423	153	31	coupled	couple	VERB
ap-4423	153	32	guiding	guide	VERB
ap-4423	153	33	profiles	profile	NOUN
ap-4423	153	34	.	.	PUNCT
ap-4423	154	1	to	to	PART
ap-4423	154	2	do	do	VERB
ap-4423	154	3	so	so	ADV
ap-4423	154	4	,	,	PUNCT
ap-4423	154	5	we	we	PRON
ap-4423	154	6	return	return	VERB
ap-4423	154	7	to	to	ADP
ap-4423	154	8	the	the	DET
ap-4423	154	9	delta	delta	NOUN
ap-4423	154	10	-	-	PUNCT
ap-4423	154	11	functions	function	NOUN
ap-4423	154	12	model	model	NOUN
ap-4423	154	13	from	from	ADP
ap-4423	154	14	[	[	X
ap-4423	154	15	30	30	NUM
ap-4423	154	16	]	]	PUNCT
ap-4423	154	17	.	.	PUNCT
ap-4423	155	1	the	the	DET
ap-4423	155	2	model	model	NOUN
ap-4423	155	3	is	be	AUX
ap-4423	155	4	given	give	VERB
ap-4423	155	5	by	by	ADP
ap-4423	155	6	an	an	DET
ap-4423	155	7	effective	effective	ADJ
ap-4423	155	8	schrödinger	schrödinger	ADJ
ap-4423	155	9	equation	equation	NOUN
ap-4423	155	10	of	of	ADP
ap-4423	155	11	the	the	DET
ap-4423	155	12	form	form	NOUN
ap-4423	155	13	−ψ′′(x)−	−ψ′′(x)−	PROPN
ap-4423	155	14	(	(	PUNCT
ap-4423	155	15	(	(	PUNCT
ap-4423	155	16	1	1	NUM
ap-4423	155	17	+	+	CCONJ
ap-4423	155	18	iγ)δ(x+	iγ)δ(x+	PROPN
ap-4423	155	19	b	b	NOUN
ap-4423	155	20	)	)	PUNCT
ap-4423	155	21	+	+	NUM
ap-4423	155	22	γδ(x	γδ(x	PUNCT
ap-4423	155	23	)	)	PUNCT
ap-4423	156	1	+	+	CCONJ
ap-4423	156	2	(	(	PUNCT
ap-4423	156	3	1−	1−	NUM
ap-4423	156	4	iγ)δ(x−	iγ)δ(x−	PROPN
ap-4423	156	5	b	b	PROPN
ap-4423	156	6	)	)	PUNCT
ap-4423	156	7	)	)	PUNCT
ap-4423	156	8	ψ(x	ψ(x	NOUN
ap-4423	156	9	)	)	PUNCT
ap-4423	157	1	=	=	SYM
ap-4423	157	2	−k2ψ(x	−k2ψ(x	NOUN
ap-4423	157	3	)	)	PUNCT
ap-4423	157	4	,	,	PUNCT
ap-4423	157	5	(	(	PUNCT
ap-4423	157	6	11	11	NUM
ap-4423	157	7	)	)	PUNCT
ap-4423	157	8	where	where	SCONJ
ap-4423	157	9	three	three	NUM
ap-4423	157	10	delta	delta	NOUN
ap-4423	157	11	-	-	PUNCT
ap-4423	157	12	function	function	NOUN
ap-4423	157	13	potential	potential	ADJ
ap-4423	157	14	wells	well	NOUN
ap-4423	157	15	are	be	AUX
ap-4423	157	16	located	locate	VERB
ap-4423	157	17	at	at	ADP
ap-4423	157	18	x	x	X
ap-4423	157	19	=	=	PUNCT
ap-4423	157	20	±b	±b	PROPN
ap-4423	157	21	and	and	CCONJ
ap-4423	157	22	x	x	SYM
ap-4423	157	23	=	=	SYM
ap-4423	157	24	0	0	X
ap-4423	157	25	.	.	PUNCT
ap-4423	158	1	loss	loss	NOUN
ap-4423	158	2	is	be	AUX
ap-4423	158	3	added	add	VERB
ap-4423	158	4	to	to	ADP
ap-4423	158	5	the	the	DET
ap-4423	158	6	left	left	NOUN
ap-4423	158	7	well	well	ADV
ap-4423	158	8	and	and	CCONJ
ap-4423	158	9	the	the	DET
ap-4423	158	10	same	same	ADJ
ap-4423	158	11	amount	amount	NOUN
ap-4423	158	12	of	of	ADP
ap-4423	158	13	gain	gain	NOUN
ap-4423	158	14	is	be	AUX
ap-4423	158	15	added	add	VERB
ap-4423	158	16	to	to	ADP
ap-4423	158	17	the	the	DET
ap-4423	158	18	right	right	ADJ
ap-4423	158	19	one	one	NOUN
ap-4423	158	20	via	via	ADP
ap-4423	158	21	the	the	DET
ap-4423	158	22	parameter	parameter	PROPN
ap-4423	158	23	γ	γ	PROPN
ap-4423	158	24	.	.	PUNCT
ap-4423	159	1	the	the	DET
ap-4423	159	2	units	unit	NOUN
ap-4423	159	3	are	be	AUX
ap-4423	159	4	chosen	choose	VERB
ap-4423	159	5	in	in	ADP
ap-4423	159	6	such	such	DET
ap-4423	159	7	a	a	DET
ap-4423	159	8	way	way	NOUN
ap-4423	159	9	that	that	PRON
ap-4423	159	10	the	the	DET
ap-4423	159	11	strength	strength	NOUN
ap-4423	159	12	of	of	ADP
ap-4423	159	13	the	the	DET
ap-4423	159	14	real	real	ADJ
ap-4423	159	15	and	and	CCONJ
ap-4423	159	16	imaginary	imaginary	ADJ
ap-4423	159	17	parts	part	NOUN
ap-4423	159	18	of	of	ADP
ap-4423	159	19	the	the	DET
ap-4423	159	20	two	two	NUM
ap-4423	159	21	outer	outer	ADJ
ap-4423	159	22	wells	well	NOUN
ap-4423	159	23	is	be	AUX
ap-4423	159	24	normalised	normalise	VERB
ap-4423	159	25	to	to	ADP
ap-4423	159	26	unity	unity	NOUN
ap-4423	159	27	,	,	PUNCT
ap-4423	159	28	while	while	SCONJ
ap-4423	159	29	in	in	ADP
ap-4423	159	30	the	the	DET
ap-4423	159	31	middle	middle	ADJ
ap-4423	159	32	well	well	INTJ
ap-4423	159	33	we	we	PRON
ap-4423	159	34	allow	allow	VERB
ap-4423	159	35	for	for	ADP
ap-4423	159	36	a	a	DET
ap-4423	159	37	different	different	ADJ
ap-4423	159	38	depth	depth	NOUN
ap-4423	159	39	given	give	VERB
ap-4423	159	40	by	by	ADP
ap-4423	159	41	the	the	DET
ap-4423	159	42	real	real	ADJ
ap-4423	159	43	parameter	parameter	NOUN
ap-4423	159	44	γ	γ	X
ap-4423	159	45	>	>	X
ap-4423	159	46	0	0	NUM
ap-4423	159	47	,	,	PUNCT
ap-4423	159	48	similarly	similarly	ADV
ap-4423	159	49	to	to	ADP
ap-4423	159	50	its	its	PRON
ap-4423	159	51	spatially	spatially	ADV
ap-4423	159	52	extended	extended	ADJ
ap-4423	159	53	counterpart	counterpart	NOUN
ap-4423	159	54	from	from	ADP
ap-4423	159	55	section	section	NOUN
ap-4423	159	56	2	2	NUM
ap-4423	159	57	.	.	PUNCT
ap-4423	159	58	as	as	SCONJ
ap-4423	159	59	the	the	DET
ap-4423	159	60	system	system	NOUN
ap-4423	159	61	is	be	AUX
ap-4423	159	62	non	non	ADJ
ap-4423	159	63	-	-	ADJ
ap-4423	159	64	hermitian	hermitian	ADJ
ap-4423	159	65	the	the	DET
ap-4423	159	66	eigenvalues	eigenvalues	PROPN
ap-4423	159	67	k	k	PROPN
ap-4423	159	68	are	be	AUX
ap-4423	159	69	complex	complex	ADJ
ap-4423	159	70	in	in	ADP
ap-4423	159	71	general	general	ADJ
ap-4423	159	72	with	with	ADP
ap-4423	159	73	re(k	re(k	NOUN
ap-4423	159	74	)	)	PUNCT
ap-4423	159	75	>	>	X
ap-4423	160	1	0	0	X
ap-4423	160	2	.	.	PUNCT
ap-4423	161	1	we	we	PRON
ap-4423	161	2	are	be	AUX
ap-4423	161	3	interested	interested	ADJ
ap-4423	161	4	in	in	ADP
ap-4423	161	5	bound	bind	VERB
ap-4423	161	6	state	state	NOUN
ap-4423	161	7	solutions	solution	NOUN
ap-4423	161	8	with	with	ADP
ap-4423	161	9	real	real	ADJ
ap-4423	161	10	eigenvalues	eigenvalue	NOUN
ap-4423	161	11	,	,	PUNCT
ap-4423	161	12	and	and	CCONJ
ap-4423	161	13	the	the	DET
ap-4423	161	14	bound	bind	VERB
ap-4423	161	15	state	state	NOUN
ap-4423	161	16	wave	wave	NOUN
ap-4423	161	17	functions	function	NOUN
ap-4423	161	18	have	have	VERB
ap-4423	161	19	the	the	DET
ap-4423	161	20	form	form	NOUN
ap-4423	161	21	ψ(x	ψ(x	NOUN
ap-4423	161	22	)	)	PUNCT
ap-4423	161	23	=	=	PUNCT
ap-4423	162	1			PROPN
ap-4423	162	2	aekx	aekx	VERB
ap-4423	162	3	,	,	PUNCT
ap-4423	162	4	x	x	X
ap-4423	162	5	<	<	X
ap-4423	162	6	−b	−b	PROPN
ap-4423	162	7	,	,	PUNCT
ap-4423	162	8	2(r	2(r	NUM
ap-4423	162	9	cosh(kx	cosh(kx	VERB
ap-4423	162	10	)	)	PUNCT
ap-4423	163	1	+	+	NUM
ap-4423	163	2	%	%	NOUN
ap-4423	163	3	1	1	NUM
ap-4423	163	4	sinh(kx	sinh(kx	NOUN
ap-4423	163	5	)	)	PUNCT
ap-4423	163	6	)	)	PUNCT
ap-4423	163	7	,	,	PUNCT
ap-4423	163	8	−b	−b	ADP
ap-4423	163	9	<	<	X
ap-4423	163	10	x	x	X
ap-4423	163	11	<	<	X
ap-4423	163	12	0	0	NUM
ap-4423	163	13	,	,	PUNCT
ap-4423	163	14	2(r	2(r	NUM
ap-4423	163	15	cosh(kx	cosh(kx	PROPN
ap-4423	163	16	)	)	PUNCT
ap-4423	164	1	+	+	NUM
ap-4423	164	2	%	%	NOUN
ap-4423	164	3	2	2	NUM
ap-4423	164	4	sinh(kx	sinh(kx	NOUN
ap-4423	164	5	)	)	PUNCT
ap-4423	164	6	)	)	PUNCT
ap-4423	164	7	,	,	PUNCT
ap-4423	165	1	0	0	PUNCT
ap-4423	165	2	<	<	X
ap-4423	165	3	x	x	X
ap-4423	165	4	<	<	X
ap-4423	165	5	b	b	PROPN
ap-4423	165	6	,	,	PUNCT
ap-4423	165	7	be−kx	be−kx	NOUN
ap-4423	165	8	,	,	PUNCT
ap-4423	165	9	x	x	PROPN
ap-4423	165	10	>	>	X
ap-4423	165	11	b.	b.	PROPN
ap-4423	165	12	(	(	PUNCT
ap-4423	165	13	12	12	NUM
ap-4423	165	14	)	)	PUNCT
ap-4423	165	15	as	as	ADP
ap-4423	165	16	the	the	DET
ap-4423	165	17	continuity	continuity	NOUN
ap-4423	165	18	conditions	condition	NOUN
ap-4423	165	19	and	and	CCONJ
ap-4423	165	20	the	the	DET
ap-4423	165	21	discontinuity	discontinuity	NOUN
ap-4423	165	22	con457	con457	PROPN
ap-4423	165	23	j.	j.	PROPN
ap-4423	165	24	schnabel	schnabel	PROPN
ap-4423	165	25	,	,	PUNCT
ap-4423	165	26	h.	h.	PROPN
ap-4423	165	27	cartarius	cartarius	PROPN
ap-4423	165	28	,	,	PUNCT
ap-4423	165	29	j.	j.	PROPN
ap-4423	165	30	main	main	PROPN
ap-4423	165	31	et	et	PROPN
ap-4423	165	32	al	al	PROPN
ap-4423	165	33	.	.	PROPN
ap-4423	166	1	acta	acta	PROPN
ap-4423	166	2	polytechnica	polytechnica	PROPN
ap-4423	166	3	ditions	dition	NOUN
ap-4423	166	4	for	for	ADP
ap-4423	166	5	the	the	DET
ap-4423	166	6	wave	wave	NOUN
ap-4423	166	7	functions	function	NOUN
ap-4423	166	8	and	and	CCONJ
ap-4423	166	9	their	their	PRON
ap-4423	166	10	first	first	ADJ
ap-4423	166	11	derivatives	derivative	NOUN
ap-4423	166	12	have	have	VERB
ap-4423	166	13	to	to	PART
ap-4423	166	14	be	be	AUX
ap-4423	166	15	fulfilled	fulfil	VERB
ap-4423	166	16	at	at	ADP
ap-4423	166	17	the	the	DET
ap-4423	166	18	delta	delta	NOUN
ap-4423	166	19	functions	function	NOUN
ap-4423	166	20	we	we	PRON
ap-4423	166	21	obtain	obtain	VERB
ap-4423	166	22	a	a	DET
ap-4423	166	23	system	system	NOUN
ap-4423	166	24	of	of	ADP
ap-4423	166	25	linear	linear	ADJ
ap-4423	166	26	equations	equation	NOUN
ap-4423	166	27	in	in	ADP
ap-4423	166	28	the	the	DET
ap-4423	166	29	form	form	NOUN
ap-4423	166	30	m	m	VERB
ap-4423	166	31			NOUN
ap-4423	166	32	r	r	NOUN
ap-4423	166	33	%	%	NOUN
ap-4423	166	34	1	1	NUM
ap-4423	166	35	%	%	NOUN
ap-4423	166	36	2	2	NUM
ap-4423	166	37			PROPN
ap-4423	166	38	=	=	SYM
ap-4423	166	39	0	0	NUM
ap-4423	166	40	,	,	PUNCT
ap-4423	166	41	(	(	PUNCT
ap-4423	166	42	13	13	NUM
ap-4423	166	43	)	)	PUNCT
ap-4423	166	44	for	for	ADP
ap-4423	166	45	which	which	PRON
ap-4423	166	46	nontrivial	nontrivial	ADJ
ap-4423	166	47	solutions	solution	NOUN
ap-4423	166	48	exist	exist	VERB
ap-4423	166	49	if	if	SCONJ
ap-4423	166	50	the	the	DET
ap-4423	166	51	corresponding	corresponding	ADJ
ap-4423	166	52	secular	secular	ADJ
ap-4423	166	53	equation	equation	NOUN
ap-4423	166	54	detm	detm	NOUN
ap-4423	166	55	=	=	PUNCT
ap-4423	166	56	γ	γ	X
ap-4423	166	57	(	(	PUNCT
ap-4423	166	58	e−4kb(1	e−4kb(1	PROPN
ap-4423	166	59	+	+	CCONJ
ap-4423	166	60	γ2)−	γ2)−	NUM
ap-4423	166	61	2e−2kb(γ2	2e−2kb(γ2	NUM
ap-4423	166	62	−	−	NOUN
ap-4423	166	63	2k	2k	NOUN
ap-4423	166	64	+	+	CCONJ
ap-4423	166	65	1	1	NUM
ap-4423	166	66	)	)	PUNCT
ap-4423	166	67	+	+	CCONJ
ap-4423	166	68	γ2	γ2	ADJ
ap-4423	166	69	+	+	CCONJ
ap-4423	166	70	(	(	PUNCT
ap-4423	166	71	2k	2k	NOUN
ap-4423	166	72	−	−	PROPN
ap-4423	166	73	1)2	1)2	NUM
ap-4423	166	74	)	)	PUNCT
ap-4423	167	1	+	+	NUM
ap-4423	167	2	2k	2k	NUM
ap-4423	167	3	(	(	PUNCT
ap-4423	167	4	e−4kb(1	e−4kb(1	X
ap-4423	168	1	+	+	CCONJ
ap-4423	168	2	γ2)−	γ2)−	ADJ
ap-4423	168	3	γ2	γ2	ADJ
ap-4423	168	4	−	−	PROPN
ap-4423	168	5	(	(	PUNCT
ap-4423	168	6	2k	2k	NOUN
ap-4423	168	7	−	−	PROPN
ap-4423	168	8	1)2	1)2	NUM
ap-4423	168	9	)	)	PUNCT
ap-4423	168	10	=	=	SYM
ap-4423	168	11	0	0	NUM
ap-4423	168	12	(	(	PUNCT
ap-4423	168	13	14	14	NUM
ap-4423	168	14	)	)	PUNCT
ap-4423	168	15	vanishes	vanish	VERB
ap-4423	168	16	.	.	PUNCT
ap-4423	169	1	hence	hence	ADV
ap-4423	169	2	we	we	PRON
ap-4423	169	3	obtain	obtain	VERB
ap-4423	169	4	the	the	DET
ap-4423	169	5	eigenvalues	eigenvalue	NOUN
ap-4423	169	6	k	k	PROPN
ap-4423	169	7	as	as	ADP
ap-4423	169	8	roots	root	NOUN
ap-4423	169	9	of	of	ADP
ap-4423	169	10	the	the	DET
ap-4423	169	11	determinant	determinant	ADJ
ap-4423	169	12	det[m](k	det[m](k	PROPN
ap-4423	169	13	)	)	PUNCT
ap-4423	169	14	≡	≡	PROPN
ap-4423	169	15	f(k	f(k	PROPN
ap-4423	169	16	)	)	PUNCT
ap-4423	169	17	depending	depend	VERB
ap-4423	169	18	on	on	ADP
ap-4423	169	19	the	the	DET
ap-4423	169	20	distance	distance	NOUN
ap-4423	169	21	b	b	NOUN
ap-4423	169	22	,	,	PUNCT
ap-4423	169	23	the	the	DET
ap-4423	169	24	non	non	ADJ
ap-4423	169	25	-	-	ADJ
ap-4423	169	26	hermiticity	hermiticity	ADJ
ap-4423	169	27	parameter	parameter	PROPN
ap-4423	169	28	γ	γ	PROPN
ap-4423	169	29	,	,	PUNCT
ap-4423	169	30	and	and	CCONJ
ap-4423	169	31	the	the	DET
ap-4423	169	32	parameter	parameter	NOUN
ap-4423	169	33	γ	γ	NOUN
ap-4423	169	34	of	of	ADP
ap-4423	169	35	the	the	DET
ap-4423	169	36	middle	middle	ADJ
ap-4423	169	37	well	well	NOUN
ap-4423	169	38	.	.	PUNCT
ap-4423	170	1	assuming	assume	VERB
ap-4423	170	2	k	k	PROPN
ap-4423	170	3	to	to	PART
ap-4423	170	4	be	be	AUX
ap-4423	170	5	purely	purely	ADV
ap-4423	170	6	real	real	ADJ
ap-4423	170	7	,	,	PUNCT
ap-4423	170	8	the	the	DET
ap-4423	170	9	position	position	NOUN
ap-4423	170	10	of	of	ADP
ap-4423	170	11	the	the	DET
ap-4423	170	12	third	third	ADJ
ap-4423	170	13	-	-	PUNCT
ap-4423	170	14	order	order	NOUN
ap-4423	170	15	branch	branch	NOUN
ap-4423	170	16	point	point	NOUN
ap-4423	170	17	singularity	singularity	NOUN
ap-4423	170	18	is	be	AUX
ap-4423	170	19	fixed	fix	VERB
ap-4423	170	20	by	by	ADP
ap-4423	170	21	f(k	f(k	NOUN
ap-4423	170	22	)	)	PUNCT
ap-4423	170	23	=	=	SYM
ap-4423	171	1	∂f	∂f	PROPN
ap-4423	171	2	∂k	∂k	NOUN
ap-4423	171	3	=	=	PUNCT
ap-4423	171	4	∂2f	∂2f	VERB
ap-4423	171	5	∂k2	∂k2	ADJ
ap-4423	171	6	=	=	NOUN
ap-4423	171	7	0	0	X
ap-4423	171	8	.	.	PUNCT
ap-4423	172	1	(	(	PUNCT
ap-4423	172	2	15	15	NUM
ap-4423	172	3	)	)	PUNCT
ap-4423	172	4	with	with	ADP
ap-4423	172	5	γep3	γep3	PROPN
ap-4423	172	6	=	=	PUNCT
ap-4423	173	1	1.002	1.002	NUM
ap-4423	173	2	the	the	DET
ap-4423	173	3	ep3	ep3	PROPN
ap-4423	173	4	appears	appear	VERB
ap-4423	173	5	at	at	ADP
ap-4423	173	6	γδep3	γδep3	NOUN
ap-4423	173	7	=	=	SYM
ap-4423	173	8	0.06527796794065678	0.06527796794065678	NUM
ap-4423	173	9	,	,	PUNCT
ap-4423	173	10	(	(	PUNCT
ap-4423	173	11	16a	16a	NOUN
ap-4423	173	12	)	)	PUNCT
ap-4423	173	13	bep3	bep3	NOUN
ap-4423	173	14	=	=	SYM
ap-4423	173	15	6.2012417361076206	6.2012417361076206	NUM
ap-4423	173	16	,	,	PUNCT
ap-4423	173	17	(	(	PUNCT
ap-4423	173	18	16b	16b	X
ap-4423	173	19	)	)	PUNCT
ap-4423	173	20	kep3	kep3	NOUN
ap-4423	173	21	=	=	SYM
ap-4423	173	22	0.49584858490334327	0.49584858490334327	PROPN
ap-4423	173	23	.	.	PUNCT
ap-4423	173	24	(	(	PUNCT
ap-4423	173	25	16c	16c	NOUN
ap-4423	173	26	)	)	PUNCT
ap-4423	173	27	this	this	PRON
ap-4423	173	28	can	can	AUX
ap-4423	173	29	be	be	AUX
ap-4423	173	30	verified	verify	VERB
ap-4423	173	31	by	by	ADP
ap-4423	173	32	circling	circle	VERB
ap-4423	173	33	this	this	DET
ap-4423	173	34	point	point	NOUN
ap-4423	173	35	in	in	ADP
ap-4423	173	36	the	the	DET
ap-4423	173	37	complex	complex	ADJ
ap-4423	173	38	plane	plane	NOUN
ap-4423	173	39	of	of	ADP
ap-4423	173	40	the	the	DET
ap-4423	173	41	distance	distance	NOUN
ap-4423	173	42	b	b	PROPN
ap-4423	173	43	(	(	PUNCT
ap-4423	173	44	as	as	SCONJ
ap-4423	173	45	it	it	PRON
ap-4423	173	46	was	be	AUX
ap-4423	173	47	done	do	VERB
ap-4423	173	48	in	in	ADP
ap-4423	173	49	[	[	X
ap-4423	173	50	30	30	NUM
ap-4423	173	51	]	]	PUNCT
ap-4423	173	52	)	)	PUNCT
ap-4423	173	53	or	or	CCONJ
ap-4423	173	54	by	by	ADP
ap-4423	173	55	introducing	introduce	VERB
ap-4423	173	56	asymmetry	asymmetry	NOUN
ap-4423	173	57	parameters	parameter	NOUN
ap-4423	173	58	breaking	break	VERB
ap-4423	173	59	the	the	DET
ap-4423	173	60	underlying	underlie	VERB
ap-4423	173	61	pt	pt	NOUN
ap-4423	173	62	symmetry	symmetry	NOUN
ap-4423	173	63	.	.	PUNCT
ap-4423	174	1	a	a	DET
ap-4423	174	2	verification	verification	NOUN
ap-4423	174	3	without	without	ADP
ap-4423	174	4	pt	pt	PROPN
ap-4423	174	5	symmetry	symmetry	NOUN
ap-4423	174	6	breaking	breaking	NOUN
ap-4423	174	7	,	,	PUNCT
ap-4423	174	8	i.e.	i.e.	X
ap-4423	174	9	a	a	DET
ap-4423	174	10	circle	circle	NOUN
ap-4423	174	11	around	around	ADP
ap-4423	174	12	the	the	DET
ap-4423	174	13	ep3	ep3	NOUN
ap-4423	174	14	in	in	ADP
ap-4423	174	15	the	the	DET
ap-4423	174	16	b	b	NOUN
ap-4423	174	17	-	-	PUNCT
ap-4423	174	18	γ	γ	NOUN
ap-4423	174	19	space	space	NOUN
ap-4423	174	20	turns	turn	VERB
ap-4423	174	21	out	out	ADP
ap-4423	174	22	to	to	PART
ap-4423	174	23	be	be	AUX
ap-4423	174	24	impossible	impossible	ADJ
ap-4423	174	25	in	in	ADP
ap-4423	174	26	this	this	DET
ap-4423	174	27	simplified	simplified	ADJ
ap-4423	174	28	model	model	NOUN
ap-4423	174	29	as	as	SCONJ
ap-4423	174	30	it	it	PRON
ap-4423	174	31	is	be	AUX
ap-4423	174	32	always	always	ADV
ap-4423	174	33	dominated	dominate	VERB
ap-4423	174	34	by	by	ADP
ap-4423	174	35	a	a	DET
ap-4423	174	36	signature	signature	NOUN
ap-4423	174	37	belonging	belong	VERB
ap-4423	174	38	to	to	ADP
ap-4423	174	39	an	an	DET
ap-4423	174	40	ep2	ep2	NOUN
ap-4423	174	41	.	.	PUNCT
ap-4423	175	1	this	this	PRON
ap-4423	175	2	suggests	suggest	VERB
ap-4423	175	3	the	the	DET
ap-4423	175	4	conclusion	conclusion	NOUN
ap-4423	175	5	that	that	SCONJ
ap-4423	175	6	in	in	ADP
ap-4423	175	7	analogy	analogy	NOUN
ap-4423	175	8	with	with	ADP
ap-4423	175	9	the	the	DET
ap-4423	175	10	spatially	spatially	ADV
ap-4423	175	11	extended	extend	VERB
ap-4423	175	12	model	model	NOUN
ap-4423	175	13	from	from	ADP
ap-4423	175	14	[	[	X
ap-4423	175	15	63	63	NUM
ap-4423	175	16	]	]	PUNCT
ap-4423	175	17	the	the	DET
ap-4423	175	18	ep3	ep3	NOUN
ap-4423	175	19	may	may	AUX
ap-4423	175	20	be	be	AUX
ap-4423	175	21	accompanied	accompany	VERB
ap-4423	175	22	by	by	ADP
ap-4423	175	23	ep2s	ep2	NOUN
ap-4423	175	24	,	,	PUNCT
ap-4423	175	25	which	which	PRON
ap-4423	175	26	disturb	disturb	VERB
ap-4423	175	27	the	the	DET
ap-4423	175	28	exchange	exchange	NOUN
ap-4423	175	29	behaviour	behaviour	NOUN
ap-4423	175	30	.	.	PUNCT
ap-4423	176	1	to	to	PART
ap-4423	176	2	expose	expose	VERB
ap-4423	176	3	this	this	DET
ap-4423	176	4	behaviour	behaviour	NOUN
ap-4423	176	5	we	we	PRON
ap-4423	176	6	attenuate	attenuate	VERB
ap-4423	176	7	the	the	DET
ap-4423	176	8	condition	condition	NOUN
ap-4423	176	9	of	of	ADP
ap-4423	176	10	eq	eq	PROPN
ap-4423	176	11	.	.	PUNCT
ap-4423	177	1	(	(	PUNCT
ap-4423	177	2	15	15	NUM
ap-4423	177	3	)	)	PUNCT
ap-4423	177	4	to	to	ADP
ap-4423	177	5	a	a	DET
ap-4423	177	6	twofold	twofold	NOUN
ap-4423	177	7	zero	zero	NUM
ap-4423	177	8	,	,	PUNCT
ap-4423	177	9	from	from	ADP
ap-4423	177	10	which	which	PRON
ap-4423	177	11	we	we	PRON
ap-4423	177	12	get	get	VERB
ap-4423	177	13	the	the	DET
ap-4423	177	14	pair	pair	NOUN
ap-4423	177	15	of	of	ADP
ap-4423	177	16	variables	variable	NOUN
ap-4423	177	17	(	(	PUNCT
ap-4423	177	18	k	k	X
ap-4423	177	19	,	,	PUNCT
ap-4423	177	20	γ	γ	NOUN
ap-4423	177	21	)	)	PUNCT
ap-4423	177	22	or	or	CCONJ
ap-4423	177	23	(	(	PUNCT
ap-4423	177	24	k	k	X
ap-4423	177	25	,	,	PUNCT
ap-4423	177	26	b	b	NOUN
ap-4423	177	27	)	)	PUNCT
ap-4423	177	28	and	and	CCONJ
ap-4423	177	29	therefore	therefore	ADV
ap-4423	177	30	the	the	DET
ap-4423	177	31	positions	position	NOUN
ap-4423	177	32	of	of	ADP
ap-4423	177	33	the	the	DET
ap-4423	177	34	ep2s	ep2	NOUN
ap-4423	177	35	via	via	ADP
ap-4423	177	36	a	a	DET
ap-4423	177	37	two	two	NUM
ap-4423	177	38	-	-	PUNCT
ap-4423	177	39	dimensional	dimensional	ADJ
ap-4423	177	40	root	root	NOUN
ap-4423	177	41	search	search	NOUN
ap-4423	177	42	.	.	PUNCT
ap-4423	178	1	the	the	DET
ap-4423	178	2	results	result	NOUN
ap-4423	178	3	are	be	AUX
ap-4423	178	4	shown	show	VERB
ap-4423	178	5	in	in	ADP
ap-4423	178	6	figure	figure	NOUN
ap-4423	178	7	4	4	NUM
ap-4423	178	8	(	(	PUNCT
ap-4423	178	9	top	top	NOUN
ap-4423	178	10	left	left	ADJ
ap-4423	178	11	)	)	PUNCT
ap-4423	178	12	.	.	PUNCT
ap-4423	179	1	it	it	PRON
ap-4423	179	2	can	can	AUX
ap-4423	179	3	be	be	AUX
ap-4423	179	4	seen	see	VERB
ap-4423	179	5	that	that	SCONJ
ap-4423	179	6	the	the	DET
ap-4423	179	7	ep2s	ep2	NOUN
ap-4423	179	8	are	be	AUX
ap-4423	179	9	distributed	distribute	VERB
ap-4423	179	10	continuously	continuously	ADV
ap-4423	179	11	around	around	ADP
ap-4423	179	12	the	the	DET
ap-4423	179	13	ep3	ep3	NOUN
ap-4423	179	14	in	in	ADP
ap-4423	179	15	the	the	DET
ap-4423	179	16	b	b	NOUN
ap-4423	179	17	-	-	PUNCT
ap-4423	179	18	γ	γ	NOUN
ap-4423	179	19	space	space	NOUN
ap-4423	179	20	.	.	PUNCT
ap-4423	180	1	the	the	DET
ap-4423	180	2	lines	line	NOUN
ap-4423	180	3	represent	represent	VERB
ap-4423	180	4	either	either	CCONJ
ap-4423	180	5	ep2s	ep2	NOUN
ap-4423	180	6	between	between	ADP
ap-4423	180	7	the	the	DET
ap-4423	180	8	ground	ground	NOUN
ap-4423	180	9	state	state	NOUN
ap-4423	180	10	and	and	CCONJ
ap-4423	180	11	the	the	DET
ap-4423	180	12	first	first	ADJ
ap-4423	180	13	excited	excited	ADJ
ap-4423	180	14	mode	mode	NOUN
ap-4423	180	15	or	or	CCONJ
ap-4423	180	16	between	between	ADP
ap-4423	180	17	both	both	DET
ap-4423	180	18	excited	excited	ADJ
ap-4423	180	19	modes	mode	NOUN
ap-4423	180	20	.	.	PUNCT
ap-4423	181	1	they	they	PRON
ap-4423	181	2	coalesce	coalesce	VERB
ap-4423	181	3	at	at	ADP
ap-4423	181	4	the	the	DET
ap-4423	181	5	position	position	NOUN
ap-4423	181	6	of	of	ADP
ap-4423	181	7	the	the	DET
ap-4423	181	8	ep3	ep3	NOUN
ap-4423	181	9	at	at	ADP
ap-4423	181	10	γδep3	γδep3	NOUN
ap-4423	181	11	leaving	leave	VERB
ap-4423	181	12	a	a	DET
ap-4423	181	13	knee	knee	NOUN
ap-4423	181	14	in	in	ADP
ap-4423	181	15	the	the	DET
ap-4423	181	16	parameter	parameter	NOUN
ap-4423	181	17	space	space	NOUN
ap-4423	181	18	.	.	PUNCT
ap-4423	182	1	moreover	moreover	ADV
ap-4423	182	2	there	there	PRON
ap-4423	182	3	appear	appear	VERB
ap-4423	182	4	more	more	ADJ
ap-4423	182	5	branches	branch	NOUN
ap-4423	182	6	at	at	ADP
ap-4423	182	7	γc1,2	γc1,2	NOUN
ap-4423	182	8	along	along	ADP
ap-4423	182	9	the	the	DET
ap-4423	182	10	blue	blue	ADJ
ap-4423	182	11	line	line	NOUN
ap-4423	182	12	,	,	PUNCT
ap-4423	182	13	which	which	PRON
ap-4423	182	14	can	can	AUX
ap-4423	182	15	not	not	PART
ap-4423	182	16	be	be	AUX
ap-4423	182	17	explained	explain	VERB
ap-4423	182	18	by	by	ADP
ap-4423	182	19	purely	purely	ADV
ap-4423	182	20	real	real	ADJ
ap-4423	182	21	parameters	parameter	NOUN
ap-4423	182	22	b	b	PROPN
ap-4423	182	23	and	and	CCONJ
ap-4423	182	24	γ	γ	PROPN
ap-4423	182	25	.	.	PROPN
ap-4423	182	26	hence	hence	ADV
ap-4423	182	27	we	we	PRON
ap-4423	182	28	either	either	CCONJ
ap-4423	182	29	continue	continue	VERB
ap-4423	182	30	b	b	NOUN
ap-4423	182	31	or	or	CCONJ
ap-4423	182	32	γ	γ	X
ap-4423	182	33	analytically	analytically	ADV
ap-4423	182	34	into	into	ADP
ap-4423	182	35	the	the	DET
ap-4423	182	36	complex	complex	ADJ
ap-4423	182	37	plane	plane	NOUN
ap-4423	182	38	and	and	CCONJ
ap-4423	182	39	allow	allow	VERB
ap-4423	182	40	for	for	ADP
ap-4423	182	41	k	k	PROPN
ap-4423	182	42	∈	∈	PROPN
ap-4423	182	43	c	c	PROPN
ap-4423	182	44	,	,	PUNCT
ap-4423	182	45	which	which	PRON
ap-4423	182	46	turns	turn	VERB
ap-4423	182	47	the	the	DET
ap-4423	182	48	two	two	NUM
ap-4423	182	49	-	-	PUNCT
ap-4423	182	50	dimensional	dimensional	ADJ
ap-4423	182	51	root	root	NOUN
ap-4423	182	52	search	search	NOUN
ap-4423	182	53	into	into	ADP
ap-4423	182	54	a	a	DET
ap-4423	182	55	four	four	NUM
ap-4423	182	56	-	-	PUNCT
ap-4423	182	57	dimensional	dimensional	ADJ
ap-4423	182	58	one	one	NOUN
ap-4423	182	59	.	.	PUNCT
ap-4423	183	1	the	the	DET
ap-4423	183	2	resulting	result	VERB
ap-4423	183	3	effects	effect	NOUN
ap-4423	183	4	on	on	ADP
ap-4423	183	5	the	the	DET
ap-4423	183	6	re(γ)–im(b	re(γ)–im(b	NOUN
ap-4423	183	7	)	)	PUNCT
ap-4423	183	8	space	space	NOUN
ap-4423	183	9	or	or	CCONJ
ap-4423	183	10	re(γ)–im(γ	re(γ)–im(γ	PROPN
ap-4423	183	11	)	)	PUNCT
ap-4423	183	12	space	space	NOUN
ap-4423	183	13	are	be	AUX
ap-4423	183	14	depicted	depict	VERB
ap-4423	183	15	on	on	ADP
ap-4423	183	16	the	the	DET
ap-4423	183	17	right	right	ADJ
ap-4423	183	18	-	-	PUNCT
ap-4423	183	19	hand	hand	NOUN
ap-4423	183	20	side	side	NOUN
ap-4423	183	21	of	of	ADP
ap-4423	183	22	figure	figure	NOUN
ap-4423	183	23	4	4	NUM
ap-4423	183	24	.	.	NOUN
ap-4423	183	25	5	5	NUM
ap-4423	183	26	.	.	X
ap-4423	183	27	conclusion	conclusion	NOUN
ap-4423	183	28	in	in	ADP
ap-4423	183	29	this	this	DET
ap-4423	183	30	paper	paper	NOUN
ap-4423	183	31	we	we	PRON
ap-4423	183	32	applied	apply	VERB
ap-4423	183	33	two	two	NUM
ap-4423	183	34	approximations	approximation	NOUN
ap-4423	183	35	to	to	ADP
ap-4423	183	36	the	the	DET
ap-4423	183	37	system	system	NOUN
ap-4423	183	38	of	of	ADP
ap-4423	183	39	three	three	NUM
ap-4423	183	40	coupled	couple	VERB
ap-4423	183	41	pt	pt	NOUN
ap-4423	183	42	-symmetric	-symmetric	ADJ
ap-4423	183	43	wave	wave	NOUN
ap-4423	183	44	guides	guide	NOUN
ap-4423	183	45	studied	study	VERB
ap-4423	183	46	in	in	ADP
ap-4423	183	47	[	[	X
ap-4423	183	48	63	63	NUM
ap-4423	183	49	]	]	PUNCT
ap-4423	183	50	.	.	PUNCT
ap-4423	184	1	in	in	ADP
ap-4423	184	2	a	a	DET
ap-4423	184	3	mapping	mapping	NOUN
ap-4423	184	4	of	of	ADP
ap-4423	184	5	the	the	DET
ap-4423	184	6	system	system	NOUN
ap-4423	184	7	to	to	ADP
ap-4423	184	8	a	a	DET
ap-4423	184	9	three	three	NUM
ap-4423	184	10	-	-	PUNCT
ap-4423	184	11	mode	mode	NOUN
ap-4423	184	12	matrix	matrix	NOUN
ap-4423	184	13	model	model	NOUN
ap-4423	184	14	we	we	PRON
ap-4423	184	15	could	could	AUX
ap-4423	184	16	show	show	VERB
ap-4423	184	17	that	that	SCONJ
ap-4423	184	18	the	the	DET
ap-4423	184	19	matrix	matrix	NOUN
ap-4423	184	20	can	can	AUX
ap-4423	184	21	serve	serve	VERB
ap-4423	184	22	as	as	ADP
ap-4423	184	23	an	an	DET
ap-4423	184	24	intuitive	intuitive	ADJ
ap-4423	184	25	guide	guide	NOUN
ap-4423	184	26	to	to	ADP
ap-4423	184	27	parameter	parameter	NOUN
ap-4423	184	28	regimes	regime	NOUN
ap-4423	184	29	,	,	PUNCT
ap-4423	184	30	in	in	ADP
ap-4423	184	31	which	which	PRON
ap-4423	184	32	the	the	DET
ap-4423	184	33	prospects	prospect	NOUN
ap-4423	184	34	of	of	ADP
ap-4423	184	35	finding	find	VERB
ap-4423	184	36	a	a	DET
ap-4423	184	37	third	third	ADJ
ap-4423	184	38	-	-	PUNCT
ap-4423	184	39	order	order	NOUN
ap-4423	184	40	exceptional	exceptional	ADJ
ap-4423	184	41	point	point	NOUN
ap-4423	184	42	are	be	AUX
ap-4423	184	43	best	good	ADJ
ap-4423	184	44	.	.	PUNCT
ap-4423	185	1	this	this	PRON
ap-4423	185	2	is	be	AUX
ap-4423	185	3	exactly	exactly	ADV
ap-4423	185	4	the	the	DET
ap-4423	185	5	case	case	NOUN
ap-4423	185	6	when	when	SCONJ
ap-4423	185	7	the	the	DET
ap-4423	185	8	correctly	correctly	ADV
ap-4423	185	9	mapped	map	VERB
ap-4423	185	10	matrix	matrix	NOUN
ap-4423	185	11	assumes	assume	NOUN
ap-4423	185	12	,	,	PUNCT
ap-4423	185	13	due	due	ADJ
ap-4423	185	14	to	to	PART
ap-4423	185	15	appropriately	appropriately	ADV
ap-4423	185	16	chosen	choose	VERB
ap-4423	185	17	physical	physical	ADJ
ap-4423	185	18	parameters	parameter	NOUN
ap-4423	185	19	,	,	PUNCT
ap-4423	185	20	the	the	DET
ap-4423	185	21	shape	shape	NOUN
ap-4423	185	22	proposed	propose	VERB
ap-4423	185	23	in	in	ADP
ap-4423	185	24	[	[	X
ap-4423	185	25	29	29	NUM
ap-4423	185	26	]	]	PUNCT
ap-4423	185	27	.	.	PUNCT
ap-4423	186	1	the	the	DET
ap-4423	186	2	continuous	continuous	ADJ
ap-4423	186	3	distributions	distribution	NOUN
ap-4423	186	4	of	of	ADP
ap-4423	186	5	ep2s	ep2	NOUN
ap-4423	186	6	around	around	ADP
ap-4423	186	7	the	the	DET
ap-4423	186	8	ep3	ep3	NOUN
ap-4423	186	9	of	of	ADP
ap-4423	186	10	interest	interest	NOUN
ap-4423	186	11	in	in	ADP
ap-4423	186	12	the	the	DET
ap-4423	186	13	space	space	NOUN
ap-4423	186	14	of	of	ADP
ap-4423	186	15	the	the	DET
ap-4423	186	16	accessible	accessible	ADJ
ap-4423	186	17	physical	physical	ADJ
ap-4423	186	18	parameters	parameter	NOUN
ap-4423	186	19	can	can	AUX
ap-4423	186	20	be	be	AUX
ap-4423	186	21	found	find	VERB
ap-4423	186	22	in	in	ADP
ap-4423	186	23	the	the	DET
ap-4423	186	24	much	much	ADV
ap-4423	186	25	simpler	simple	ADJ
ap-4423	186	26	deltafunctions	deltafunction	NOUN
ap-4423	186	27	model	model	NOUN
ap-4423	186	28	from	from	ADP
ap-4423	186	29	[	[	X
ap-4423	186	30	30	30	NUM
ap-4423	186	31	]	]	PUNCT
ap-4423	186	32	.	.	PUNCT
ap-4423	187	1	thus	thus	ADV
ap-4423	187	2	,	,	PUNCT
ap-4423	187	3	it	it	PRON
ap-4423	187	4	is	be	AUX
ap-4423	187	5	possible	possible	ADJ
ap-4423	187	6	to	to	PART
ap-4423	187	7	search	search	VERB
ap-4423	187	8	for	for	ADP
ap-4423	187	9	adequate	adequate	ADJ
ap-4423	187	10	physical	physical	ADJ
ap-4423	187	11	parameters	parameter	NOUN
ap-4423	187	12	allowing	allow	VERB
ap-4423	187	13	for	for	ADP
ap-4423	187	14	the	the	DET
ap-4423	187	15	identification	identification	NOUN
ap-4423	187	16	of	of	ADP
ap-4423	187	17	the	the	DET
ap-4423	187	18	ep3	ep3	NOUN
ap-4423	187	19	via	via	ADP
ap-4423	187	20	its	its	PRON
ap-4423	187	21	characteristic	characteristic	ADJ
ap-4423	187	22	threefold	threefold	ADJ
ap-4423	187	23	state	state	NOUN
ap-4423	187	24	permutation	permutation	NOUN
ap-4423	187	25	without	without	ADP
ap-4423	187	26	the	the	DET
ap-4423	187	27	need	need	NOUN
ap-4423	187	28	of	of	ADP
ap-4423	187	29	having	have	VERB
ap-4423	187	30	to	to	PART
ap-4423	187	31	solve	solve	VERB
ap-4423	187	32	the	the	DET
ap-4423	187	33	full	full	ADJ
ap-4423	187	34	problem	problem	NOUN
ap-4423	187	35	.	.	PUNCT
ap-4423	188	1	the	the	DET
ap-4423	188	2	appearance	appearance	NOUN
ap-4423	188	3	of	of	ADP
ap-4423	188	4	the	the	DET
ap-4423	188	5	ep3	ep3	NOUN
ap-4423	188	6	has	have	VERB
ap-4423	188	7	experimentally	experimentally	ADV
ap-4423	188	8	observable	observable	ADJ
ap-4423	188	9	effects	effect	NOUN
ap-4423	188	10	in	in	ADP
ap-4423	188	11	the	the	DET
ap-4423	188	12	wave	wave	NOUN
ap-4423	188	13	guide	guide	NOUN
ap-4423	188	14	system	system	NOUN
ap-4423	188	15	.	.	PUNCT
ap-4423	189	1	circles	circle	NOUN
ap-4423	189	2	in	in	ADP
ap-4423	189	3	parameter	parameter	NOUN
ap-4423	189	4	space	space	NOUN
ap-4423	189	5	as	as	SCONJ
ap-4423	189	6	those	those	PRON
ap-4423	189	7	performed	perform	VERB
ap-4423	189	8	in	in	ADP
ap-4423	189	9	section	section	NOUN
ap-4423	189	10	3	3	NUM
ap-4423	189	11	can	can	AUX
ap-4423	189	12	be	be	AUX
ap-4423	189	13	used	use	VERB
ap-4423	189	14	.	.	PUNCT
ap-4423	190	1	they	they	PRON
ap-4423	190	2	can	can	AUX
ap-4423	190	3	lead	lead	VERB
ap-4423	190	4	to	to	ADP
ap-4423	190	5	the	the	DET
ap-4423	190	6	unambiguous	unambiguous	ADJ
ap-4423	190	7	signal	signal	NOUN
ap-4423	190	8	of	of	ADP
ap-4423	190	9	a	a	DET
ap-4423	190	10	threefold	threefold	ADJ
ap-4423	190	11	state	state	NOUN
ap-4423	190	12	permutation	permutation	NOUN
ap-4423	190	13	.	.	PUNCT
ap-4423	191	1	due	due	ADP
ap-4423	191	2	to	to	ADP
ap-4423	191	3	the	the	DET
ap-4423	191	4	continuous	continuous	ADJ
ap-4423	191	5	distribution	distribution	NOUN
ap-4423	191	6	of	of	ADP
ap-4423	191	7	ep2s	ep2	NOUN
ap-4423	191	8	around	around	ADP
ap-4423	191	9	the	the	DET
ap-4423	191	10	ep3	ep3	NOUN
ap-4423	191	11	this	this	PRON
ap-4423	191	12	might	might	AUX
ap-4423	191	13	become	become	VERB
ap-4423	191	14	a	a	DET
ap-4423	191	15	difficult	difficult	ADJ
ap-4423	191	16	task	task	NOUN
ap-4423	191	17	.	.	PUNCT
ap-4423	192	1	thus	thus	ADV
ap-4423	192	2	,	,	PUNCT
ap-4423	192	3	a	a	DET
ap-4423	192	4	temporally	temporally	ADV
ap-4423	192	5	resolved	resolve	VERB
ap-4423	192	6	measurement	measurement	NOUN
ap-4423	192	7	of	of	ADP
ap-4423	192	8	the	the	DET
ap-4423	192	9	field	field	NOUN
ap-4423	192	10	intensity	intensity	NOUN
ap-4423	192	11	in	in	ADP
ap-4423	192	12	the	the	DET
ap-4423	192	13	three	three	NUM
ap-4423	192	14	wave	wave	NOUN
ap-4423	192	15	guides	guide	NOUN
ap-4423	192	16	as	as	SCONJ
ap-4423	192	17	proposed	propose	VERB
ap-4423	192	18	in	in	ADP
ap-4423	192	19	[	[	X
ap-4423	192	20	63	63	NUM
ap-4423	192	21	]	]	PUNCT
ap-4423	192	22	might	might	AUX
ap-4423	192	23	be	be	AUX
ap-4423	192	24	the	the	DET
ap-4423	192	25	best	good	ADJ
ap-4423	192	26	way	way	NOUN
ap-4423	192	27	of	of	ADP
ap-4423	192	28	obtaining	obtain	VERB
ap-4423	192	29	an	an	DET
ap-4423	192	30	observable	observable	ADJ
ap-4423	192	31	effect	effect	NOUN
ap-4423	192	32	.	.	PUNCT
ap-4423	193	1	close	close	ADJ
ap-4423	193	2	to	to	ADP
ap-4423	193	3	the	the	DET
ap-4423	193	4	ep3	ep3	NOUN
ap-4423	193	5	an	an	DET
ap-4423	193	6	increasing	increase	VERB
ap-4423	193	7	beat	beat	NOUN
ap-4423	193	8	length	length	NOUN
ap-4423	193	9	and	and	CCONJ
ap-4423	193	10	a	a	DET
ap-4423	193	11	simultaneous	simultaneous	ADJ
ap-4423	193	12	pulsating	pulsate	VERB
ap-4423	193	13	behaviour	behaviour	NOUN
ap-4423	193	14	in	in	ADP
ap-4423	193	15	all	all	DET
ap-4423	193	16	three	three	NUM
ap-4423	193	17	wave	wave	NOUN
ap-4423	193	18	guides	guide	NOUN
ap-4423	193	19	will	will	AUX
ap-4423	193	20	be	be	AUX
ap-4423	193	21	present	present	ADJ
ap-4423	193	22	.	.	PUNCT
ap-4423	194	1	in	in	ADP
ap-4423	194	2	principle	principle	NOUN
ap-4423	194	3	the	the	DET
ap-4423	194	4	approach	approach	NOUN
ap-4423	194	5	of	of	ADP
ap-4423	194	6	extending	extend	VERB
ap-4423	194	7	the	the	DET
ap-4423	194	8	system	system	NOUN
ap-4423	194	9	with	with	ADP
ap-4423	194	10	additional	additional	ADJ
ap-4423	194	11	wave	wave	NOUN
ap-4423	194	12	guides	guide	NOUN
ap-4423	194	13	to	to	PART
ap-4423	194	14	allow	allow	VERB
ap-4423	194	15	for	for	ADP
ap-4423	194	16	higher	high	ADJ
ap-4423	194	17	-	-	PUNCT
ap-4423	194	18	order	order	NOUN
ap-4423	194	19	exceptional	exceptional	ADJ
ap-4423	194	20	points	point	NOUN
ap-4423	194	21	can	can	AUX
ap-4423	194	22	be	be	AUX
ap-4423	194	23	continued	continue	VERB
ap-4423	194	24	.	.	PUNCT
ap-4423	195	1	with	with	ADP
ap-4423	195	2	four	four	NUM
ap-4423	195	3	wave	wave	NOUN
ap-4423	195	4	guides	guide	NOUN
ap-4423	195	5	it	it	PRON
ap-4423	195	6	should	should	AUX
ap-4423	195	7	for	for	ADP
ap-4423	195	8	example	example	NOUN
ap-4423	195	9	be	be	AUX
ap-4423	195	10	possible	possible	ADJ
ap-4423	195	11	to	to	PART
ap-4423	195	12	access	access	VERB
ap-4423	195	13	a	a	DET
ap-4423	195	14	fourth	fourth	ADJ
ap-4423	195	15	-	-	PUNCT
ap-4423	195	16	order	order	NOUN
ap-4423	195	17	exceptional	exceptional	ADJ
ap-4423	195	18	point	point	NOUN
ap-4423	195	19	.	.	PUNCT
ap-4423	196	1	the	the	DET
ap-4423	196	2	observations	observation	NOUN
ap-4423	196	3	made	make	VERB
ap-4423	196	4	in	in	ADP
ap-4423	196	5	this	this	DET
ap-4423	196	6	work	work	NOUN
ap-4423	196	7	suggest	suggest	VERB
ap-4423	196	8	that	that	SCONJ
ap-4423	196	9	all	all	DET
ap-4423	196	10	further	further	ADJ
ap-4423	196	11	extensions	extension	NOUN
ap-4423	196	12	should	should	AUX
ap-4423	196	13	first	first	ADV
ap-4423	196	14	be	be	AUX
ap-4423	196	15	studied	study	VERB
ap-4423	196	16	in	in	ADP
ap-4423	196	17	simple	simple	ADJ
ap-4423	196	18	approaches	approach	NOUN
ap-4423	196	19	before	before	SCONJ
ap-4423	196	20	a	a	DET
ap-4423	196	21	laborious	laborious	ADJ
ap-4423	196	22	modelling	modelling	NOUN
ap-4423	196	23	of	of	ADP
ap-4423	196	24	a	a	DET
ap-4423	196	25	realistic	realistic	ADJ
ap-4423	196	26	physical	physical	ADJ
ap-4423	196	27	setup	setup	NOUN
ap-4423	196	28	is	be	AUX
ap-4423	196	29	done	do	VERB
ap-4423	196	30	.	.	PUNCT
ap-4423	197	1	an	an	DET
ap-4423	197	2	n	n	CCONJ
ap-4423	197	3	-mode	-mode	NOUN
ap-4423	197	4	matrix	matrix	NOUN
ap-4423	197	5	model	model	NOUN
ap-4423	197	6	can	can	AUX
ap-4423	197	7	tell	tell	VERB
ap-4423	197	8	whether	whether	SCONJ
ap-4423	197	9	a	a	DET
ap-4423	197	10	promising	promising	ADJ
ap-4423	197	11	search	search	NOUN
ap-4423	197	12	for	for	ADP
ap-4423	197	13	an	an	DET
ap-4423	197	14	epn	epn	PROPN
ap-4423	197	15	in	in	ADP
ap-4423	197	16	a	a	DET
ap-4423	197	17	setup	setup	NOUN
ap-4423	197	18	with	with	ADP
ap-4423	197	19	n	n	DET
ap-4423	197	20	wave	wave	NOUN
ap-4423	197	21	guides	guide	NOUN
ap-4423	197	22	is	be	AUX
ap-4423	197	23	possible	possible	ADJ
ap-4423	197	24	.	.	PUNCT
ap-4423	198	1	if	if	SCONJ
ap-4423	198	2	this	this	PRON
ap-4423	198	3	is	be	AUX
ap-4423	198	4	the	the	DET
ap-4423	198	5	case	case	NOUN
ap-4423	198	6	,	,	PUNCT
ap-4423	198	7	it	it	PRON
ap-4423	198	8	can	can	AUX
ap-4423	198	9	provide	provide	VERB
ap-4423	198	10	rough	rough	ADJ
ap-4423	198	11	estimates	estimate	NOUN
ap-4423	198	12	for	for	ADP
ap-4423	198	13	suitable	suitable	ADJ
ap-4423	198	14	physical	physical	ADJ
ap-4423	198	15	parameters	parameter	NOUN
ap-4423	198	16	.	.	PUNCT
ap-4423	199	1	since	since	SCONJ
ap-4423	199	2	algorithms	algorithm	NOUN
ap-4423	199	3	for	for	ADP
ap-4423	199	4	the	the	DET
ap-4423	199	5	detection	detection	NOUN
ap-4423	199	6	of	of	ADP
ap-4423	199	7	higher	high	ADJ
ap-4423	199	8	-	-	PUNCT
ap-4423	199	9	order	order	NOUN
ap-4423	199	10	jordan	jordan	PROPN
ap-4423	199	11	blocks	block	NOUN
ap-4423	199	12	exist	exist	VERB
ap-4423	199	13	[	[	X
ap-4423	199	14	66	66	NUM
ap-4423	199	15	]	]	PUNCT
ap-4423	199	16	their	their	PRON
ap-4423	199	17	presence	presence	NOUN
ap-4423	199	18	can	can	AUX
ap-4423	199	19	quickly	quickly	ADV
ap-4423	199	20	be	be	AUX
ap-4423	199	21	investigated	investigate	VERB
ap-4423	199	22	.	.	PUNCT
ap-4423	200	1	the	the	DET
ap-4423	200	2	reduction	reduction	NOUN
ap-4423	200	3	of	of	ADP
ap-4423	200	4	the	the	DET
ap-4423	200	5	full	full	ADJ
ap-4423	200	6	system	system	NOUN
ap-4423	200	7	to	to	ADP
ap-4423	200	8	delta	delta	NOUN
ap-4423	200	9	functions	function	NOUN
ap-4423	200	10	leads	lead	VERB
ap-4423	200	11	to	to	ADP
ap-4423	200	12	much	much	ADV
ap-4423	200	13	simpler	simple	ADJ
ap-4423	200	14	equations	equation	NOUN
ap-4423	200	15	but	but	CCONJ
ap-4423	200	16	preserves	preserve	VERB
ap-4423	200	17	the	the	DET
ap-4423	200	18	whole	whole	ADJ
ap-4423	200	19	richness	richness	NOUN
ap-4423	200	20	of	of	ADP
ap-4423	200	21	effects	effect	NOUN
ap-4423	200	22	.	.	PUNCT
ap-4423	201	1	as	as	ADP
ap-4423	201	2	such	such	ADJ
ap-4423	201	3	it	it	PRON
ap-4423	201	4	can	can	AUX
ap-4423	201	5	be	be	AUX
ap-4423	201	6	used	use	VERB
ap-4423	201	7	as	as	ADP
ap-4423	201	8	a	a	DET
ap-4423	201	9	first	first	ADJ
ap-4423	201	10	access	access	NOUN
ap-4423	201	11	to	to	ADP
ap-4423	201	12	the	the	DET
ap-4423	201	13	structure	structure	NOUN
ap-4423	201	14	of	of	ADP
ap-4423	201	15	the	the	DET
ap-4423	201	16	eigenstates	eigenstate	NOUN
ap-4423	201	17	.	.	PUNCT
ap-4423	202	1	in	in	ADP
ap-4423	202	2	particular	particular	ADJ
ap-4423	202	3	,	,	PUNCT
ap-4423	202	4	it	it	PRON
ap-4423	202	5	can	can	AUX
ap-4423	202	6	be	be	AUX
ap-4423	202	7	used	use	VERB
ap-4423	202	8	to	to	PART
ap-4423	202	9	evaluate	evaluate	VERB
ap-4423	202	10	whether	whether	SCONJ
ap-4423	202	11	an	an	DET
ap-4423	202	12	identification	identification	NOUN
ap-4423	202	13	of	of	ADP
ap-4423	202	14	the	the	DET
ap-4423	202	15	epn	epn	PROPN
ap-4423	202	16	via	via	ADP
ap-4423	202	17	the	the	DET
ap-4423	202	18	n	n	ADV
ap-4423	202	19	-fold	-fold	ADJ
ap-4423	202	20	permutation	permutation	NOUN
ap-4423	202	21	of	of	ADP
ap-4423	202	22	the	the	DET
ap-4423	202	23	eigenstates	eigenstate	NOUN
ap-4423	202	24	seems	seem	VERB
ap-4423	202	25	to	to	PART
ap-4423	202	26	be	be	AUX
ap-4423	202	27	feasible	feasible	ADJ
ap-4423	202	28	.	.	PUNCT
ap-4423	203	1	this	this	PRON
ap-4423	203	2	can	can	AUX
ap-4423	203	3	give	give	VERB
ap-4423	203	4	valuable	valuable	ADJ
ap-4423	203	5	information	information	NOUN
ap-4423	203	6	before	before	SCONJ
ap-4423	203	7	costly	costly	ADJ
ap-4423	203	8	numerical	numerical	ADJ
ap-4423	203	9	calculations	calculation	NOUN
ap-4423	203	10	of	of	ADP
ap-4423	203	11	the	the	DET
ap-4423	203	12	full	full	ADJ
ap-4423	203	13	system	system	NOUN
ap-4423	203	14	are	be	AUX
ap-4423	203	15	done	do	VERB
ap-4423	203	16	.	.	PUNCT
ap-4423	204	1	acknowledgements	acknowledgement	NOUN
ap-4423	204	2	gw	gw	PROPN
ap-4423	204	3	and	and	CCONJ
ap-4423	204	4	wdh	wdh	PROPN
ap-4423	204	5	gratefully	gratefully	ADV
ap-4423	204	6	acknowledge	acknowledge	VERB
ap-4423	204	7	support	support	NOUN
ap-4423	204	8	from	from	ADP
ap-4423	204	9	the	the	DET
ap-4423	204	10	national	national	PROPN
ap-4423	204	11	institute	institute	PROPN
ap-4423	204	12	for	for	ADP
ap-4423	204	13	theoretical	theoretical	ADJ
ap-4423	204	14	physics	physics	NOUN
ap-4423	204	15	(	(	PUNCT
ap-4423	204	16	nithep	nithep	NOUN
ap-4423	204	17	)	)	PUNCT
ap-4423	204	18	,	,	PUNCT
ap-4423	204	19	west458	west458	PROPN
ap-4423	204	20	vol	vol	NOUN
ap-4423	204	21	.	.	PUNCT
ap-4423	205	1	57	57	NUM
ap-4423	205	2	no	no	NOUN
ap-4423	205	3	.	.	PUNCT
ap-4423	206	1	6/2017	6/2017	NUM
ap-4423	206	2	simple	simple	ADJ
ap-4423	206	3	models	model	NOUN
ap-4423	206	4	of	of	ADP
ap-4423	206	5	three	three	NUM
ap-4423	206	6	coupled	couple	VERB
ap-4423	206	7	pt	pt	NOUN
ap-4423	206	8	-symmetric	-symmetric	ADJ
ap-4423	206	9	wave	wave	NOUN
ap-4423	206	10	guides	guide	VERB
ap-4423	206	11	6.12	6.12	NUM
ap-4423	206	12	6.15	6.15	NUM
ap-4423	206	13	6.18	6.18	NUM
ap-4423	206	14	6.21	6.21	NUM
ap-4423	206	15	6.24	6.24	NUM
ap-4423	206	16	0.062	0.062	NUM
ap-4423	206	17	0.063	0.063	NUM
ap-4423	206	18	0.064	0.064	NUM
ap-4423	206	19	0.065	0.065	NUM
ap-4423	206	20	0.066	0.066	NUM
ap-4423	206	21	γc1γ	γc1γ	PROPN
ap-4423	206	22	c	c	NOUN
ap-4423	206	23	2	2	NUM
ap-4423	206	24	γδep3	γδep3	NOUN
ap-4423	206	25	r	r	NOUN
ap-4423	206	26	e	e	X
ap-4423	206	27	(	(	PUNCT
ap-4423	206	28	b	b	NOUN
ap-4423	206	29	)	)	PUNCT
ap-4423	207	1	[	[	X
ap-4423	207	2	1	1	NUM
ap-4423	207	3	]	]	PUNCT
ap-4423	207	4	re	re	X
ap-4423	207	5	(	(	PUNCT
ap-4423	207	6	γ	γ	X
ap-4423	207	7	)	)	PUNCT
ap-4423	207	8	[	[	X
ap-4423	207	9	1	1	X
ap-4423	207	10	]	]	PUNCT
ap-4423	207	11	−0.04	−0.04	NOUN
ap-4423	208	1	−0.02	−0.02	NOUN
ap-4423	208	2	0	0	NUM
ap-4423	208	3	0.02	0.02	NUM
ap-4423	208	4	0.04	0.04	NUM
ap-4423	208	5	0.062	0.062	NUM
ap-4423	208	6	0.064	0.064	NUM
ap-4423	208	7	0.066	0.066	NUM
ap-4423	208	8	0.068	0.068	NUM
ap-4423	208	9	0.07	0.07	NUM
ap-4423	208	10	i	i	PRON
ap-4423	208	11	m	m	VERB
ap-4423	208	12	(	(	PUNCT
ap-4423	208	13	b	b	NOUN
ap-4423	208	14	)	)	PUNCT
ap-4423	209	1	[	[	X
ap-4423	209	2	1	1	NUM
ap-4423	209	3	]	]	PUNCT
ap-4423	209	4	re	re	X
ap-4423	209	5	(	(	PUNCT
ap-4423	209	6	γ	γ	X
ap-4423	209	7	)	)	PUNCT
ap-4423	209	8	[	[	X
ap-4423	209	9	1	1	NUM
ap-4423	209	10	]	]	PUNCT
ap-4423	209	11	γδep3γc1	γδep3γc1	X
ap-4423	209	12	−0.0008	−0.0008	X
ap-4423	209	13	−0.0004	−0.0004	NOUN
ap-4423	209	14	0	0	NUM
ap-4423	209	15	0.0004	0.0004	NUM
ap-4423	209	16	0.0008	0.0008	NUM
ap-4423	209	17	0.063	0.063	NUM
ap-4423	209	18	0.064	0.064	NUM
ap-4423	209	19	0.065	0.065	NUM
ap-4423	209	20	0.066	0.066	NUM
ap-4423	209	21	i	i	PRON
ap-4423	209	22	m	m	VERB
ap-4423	209	23	(	(	PUNCT
ap-4423	209	24	γ	γ	X
ap-4423	209	25	)	)	PUNCT
ap-4423	210	1	[	[	X
ap-4423	210	2	1	1	NUM
ap-4423	210	3	]	]	PUNCT
ap-4423	210	4	re	re	X
ap-4423	210	5	(	(	PUNCT
ap-4423	210	6	γ	γ	X
ap-4423	210	7	)	)	PUNCT
ap-4423	210	8	[	[	X
ap-4423	210	9	1	1	NUM
ap-4423	210	10	]	]	PUNCT
ap-4423	210	11	γδep3γc2	γδep3γc2	ADP
ap-4423	210	12	ground/1	ground/1	X
ap-4423	210	13	ex	ex	X
ap-4423	210	14	1/2	1/2	NUM
ap-4423	210	15	ex	ex	NOUN
ap-4423	210	16	b	b	NOUN
ap-4423	210	17	complex	complex	ADJ
ap-4423	210	18	(	(	PUNCT
ap-4423	210	19	ground/1	ground/1	X
ap-4423	210	20	ex	ex	NOUN
ap-4423	210	21	)	)	PUNCT
ap-4423	210	22	γ	γ	PROPN
ap-4423	210	23	complex	complex	NOUN
ap-4423	210	24	(	(	PUNCT
ap-4423	210	25	ground/1	ground/1	X
ap-4423	210	26	ex	ex	NOUN
ap-4423	210	27	)	)	PUNCT
ap-4423	210	28	ep3	ep3	NOUN
ap-4423	210	29	figure	figure	NOUN
ap-4423	210	30	4	4	NUM
ap-4423	210	31	.	.	PUNCT
ap-4423	210	32	continuously	continuously	ADV
ap-4423	210	33	distributed	distribute	VERB
ap-4423	210	34	second	second	ADJ
ap-4423	210	35	-	-	PUNCT
ap-4423	210	36	order	order	NOUN
ap-4423	210	37	exceptional	exceptional	ADJ
ap-4423	210	38	points	point	NOUN
ap-4423	210	39	in	in	ADP
ap-4423	210	40	the	the	DET
ap-4423	210	41	b	b	NOUN
ap-4423	210	42	-	-	PUNCT
ap-4423	210	43	γ	γ	NOUN
ap-4423	210	44	space	space	NOUN
ap-4423	210	45	of	of	ADP
ap-4423	210	46	the	the	DET
ap-4423	210	47	idealised	idealised	ADJ
ap-4423	210	48	system	system	NOUN
ap-4423	210	49	made	make	VERB
ap-4423	210	50	up	up	ADP
ap-4423	210	51	of	of	ADP
ap-4423	210	52	three	three	NUM
ap-4423	210	53	delta	delta	NOUN
ap-4423	210	54	-	-	PUNCT
ap-4423	210	55	functions	function	NOUN
ap-4423	210	56	potentials	potential	NOUN
ap-4423	210	57	.	.	PUNCT
ap-4423	211	1	the	the	DET
ap-4423	211	2	system	system	NOUN
ap-4423	211	3	’s	’s	PART
ap-4423	211	4	ep3	ep3	NOUN
ap-4423	211	5	appears	appear	VERB
ap-4423	211	6	at	at	ADP
ap-4423	211	7	γδep3	γδep3	PROPN
ap-4423	211	8	,	,	PUNCT
ap-4423	211	9	from	from	ADP
ap-4423	211	10	which	which	PRON
ap-4423	211	11	several	several	ADJ
ap-4423	211	12	ep2s	ep2	NOUN
ap-4423	211	13	arise	arise	NOUN
ap-4423	211	14	(	(	PUNCT
ap-4423	211	15	top	top	ADJ
ap-4423	211	16	left	left	ADJ
ap-4423	211	17	,	,	PUNCT
ap-4423	211	18	solid	solid	ADJ
ap-4423	211	19	lines	line	NOUN
ap-4423	211	20	)	)	PUNCT
ap-4423	211	21	either	either	CCONJ
ap-4423	211	22	between	between	ADP
ap-4423	211	23	the	the	DET
ap-4423	211	24	ground	ground	NOUN
ap-4423	211	25	and	and	CCONJ
ap-4423	211	26	first	first	ADV
ap-4423	211	27	excited	excited	ADJ
ap-4423	211	28	(	(	PUNCT
ap-4423	211	29	1.ex	1.ex	NUM
ap-4423	211	30	)	)	PUNCT
ap-4423	211	31	or	or	CCONJ
ap-4423	211	32	between	between	ADP
ap-4423	211	33	the	the	DET
ap-4423	211	34	first	first	ADJ
ap-4423	211	35	and	and	CCONJ
ap-4423	211	36	second	second	ADV
ap-4423	211	37	excited	excited	ADJ
ap-4423	211	38	(	(	PUNCT
ap-4423	211	39	2.ex	2.ex	NUM
ap-4423	211	40	)	)	PUNCT
ap-4423	211	41	state	state	NOUN
ap-4423	211	42	.	.	PUNCT
ap-4423	212	1	they	they	PRON
ap-4423	212	2	reveal	reveal	VERB
ap-4423	212	3	an	an	DET
ap-4423	212	4	even	even	ADV
ap-4423	212	5	more	more	ADV
ap-4423	212	6	profound	profound	ADJ
ap-4423	212	7	branch	branch	NOUN
ap-4423	212	8	structure	structure	NOUN
ap-4423	212	9	at	at	ADP
ap-4423	212	10	the	the	DET
ap-4423	212	11	points	point	NOUN
ap-4423	212	12	γc1	γc1	ADJ
ap-4423	212	13	and	and	CCONJ
ap-4423	212	14	γc2	γc2	PROPN
ap-4423	212	15	,	,	PUNCT
ap-4423	212	16	which	which	PRON
ap-4423	212	17	can	can	AUX
ap-4423	212	18	be	be	AUX
ap-4423	212	19	explained	explain	VERB
ap-4423	212	20	in	in	ADP
ap-4423	212	21	terms	term	NOUN
ap-4423	212	22	of	of	ADP
ap-4423	212	23	an	an	DET
ap-4423	212	24	analytical	analytical	ADJ
ap-4423	212	25	continuation	continuation	NOUN
ap-4423	212	26	of	of	ADP
ap-4423	212	27	b	b	PROPN
ap-4423	212	28	or	or	CCONJ
ap-4423	212	29	γ	γ	X
ap-4423	212	30	(	(	PUNCT
ap-4423	212	31	top	top	ADJ
ap-4423	212	32	right	right	NOUN
ap-4423	212	33	and	and	CCONJ
ap-4423	212	34	bottom	bottom	ADJ
ap-4423	212	35	right	right	NOUN
ap-4423	212	36	)	)	PUNCT
ap-4423	212	37	.	.	PUNCT
ap-4423	213	1	ern	ern	PROPN
ap-4423	213	2	cape	cape	PROPN
ap-4423	213	3	,	,	PUNCT
ap-4423	213	4	south	south	PROPN
ap-4423	213	5	africa	africa	PROPN
ap-4423	213	6	.	.	PUNCT
ap-4423	214	1	gw	gw	PROPN
ap-4423	214	2	expresses	express	VERB
ap-4423	214	3	his	his	PRON
ap-4423	214	4	gratitude	gratitude	NOUN
ap-4423	214	5	to	to	ADP
ap-4423	214	6	the	the	DET
ap-4423	214	7	department	department	PROPN
ap-4423	214	8	of	of	ADP
ap-4423	214	9	physics	physics	PROPN
ap-4423	214	10	of	of	ADP
ap-4423	214	11	the	the	DET
ap-4423	214	12	university	university	PROPN
ap-4423	214	13	of	of	ADP
ap-4423	214	14	stellenbosch	stellenbosch	PROPN
ap-4423	214	15	where	where	SCONJ
ap-4423	214	16	parts	part	NOUN
ap-4423	214	17	of	of	ADP
ap-4423	214	18	this	this	DET
ap-4423	214	19	paper	paper	NOUN
ap-4423	214	20	were	be	AUX
ap-4423	214	21	developed	develop	VERB
ap-4423	214	22	.	.	PUNCT
ap-4423	215	1	references	reference	NOUN
ap-4423	215	2	[	[	X
ap-4423	215	3	1	1	X
ap-4423	215	4	]	]	PUNCT
ap-4423	215	5	t.	t.	PROPN
ap-4423	215	6	kato	kato	PROPN
ap-4423	215	7	.	.	PUNCT
ap-4423	216	1	perturbation	perturbation	NOUN
ap-4423	216	2	theory	theory	NOUN
ap-4423	216	3	for	for	ADP
ap-4423	216	4	linear	linear	PROPN
ap-4423	216	5	operators	operator	NOUN
ap-4423	216	6	.	.	PUNCT
ap-4423	217	1	springer	springer	NOUN
ap-4423	217	2	,	,	PUNCT
ap-4423	217	3	berlin	berlin	PROPN
ap-4423	217	4	,	,	PUNCT
ap-4423	217	5	1966	1966	NUM
ap-4423	217	6	.	.	PUNCT
ap-4423	218	1	[	[	X
ap-4423	218	2	2	2	X
ap-4423	218	3	]	]	PUNCT
ap-4423	218	4	w.	w.	PROPN
ap-4423	218	5	d.	d.	PROPN
ap-4423	218	6	heiss	heiss	PROPN
ap-4423	218	7	.	.	PUNCT
ap-4423	219	1	the	the	DET
ap-4423	219	2	physics	physics	NOUN
ap-4423	219	3	of	of	ADP
ap-4423	219	4	exceptional	exceptional	ADJ
ap-4423	219	5	points	point	NOUN
ap-4423	219	6	.	.	PUNCT
ap-4423	220	1	j	j	PROPN
ap-4423	220	2	phys	phy	NOUN
ap-4423	220	3	a	a	DET
ap-4423	220	4	45(44):444016	45(44):444016	NUM
ap-4423	220	5	,	,	PUNCT
ap-4423	220	6	2012	2012	NUM
ap-4423	220	7	.	.	PUNCT
ap-4423	221	1	doi:10.1088/1751	doi:10.1088/1751	VERB
ap-4423	221	2	-	-	PUNCT
ap-4423	221	3	8113/45/44/444016	8113/45/44/444016	NUM
ap-4423	221	4	.	.	PUNCT
ap-4423	222	1	[	[	X
ap-4423	222	2	3	3	NUM
ap-4423	222	3	]	]	X
ap-4423	222	4	n.	n.	PROPN
ap-4423	222	5	moiseyev	moiseyev	PROPN
ap-4423	222	6	.	.	PUNCT
ap-4423	223	1	non	non	ADJ
ap-4423	223	2	-	-	ADJ
ap-4423	223	3	hermitian	hermitian	ADJ
ap-4423	223	4	quantum	quantum	ADJ
ap-4423	223	5	mechanics	mechanic	NOUN
ap-4423	223	6	.	.	PUNCT
ap-4423	224	1	cambridge	cambridge	PROPN
ap-4423	224	2	university	university	PROPN
ap-4423	224	3	press	press	PROPN
ap-4423	224	4	,	,	PUNCT
ap-4423	224	5	cambridge	cambridge	PROPN
ap-4423	224	6	,	,	PUNCT
ap-4423	224	7	2011	2011	NUM
ap-4423	224	8	.	.	PUNCT
ap-4423	225	1	[	[	X
ap-4423	225	2	4	4	X
ap-4423	225	3	]	]	PUNCT
ap-4423	225	4	w.	w.	PROPN
ap-4423	225	5	d.	d.	PROPN
ap-4423	225	6	heiss	heiss	PROPN
ap-4423	225	7	,	,	PUNCT
ap-4423	225	8	a.	a.	PROPN
ap-4423	225	9	l.	l.	PROPN
ap-4423	225	10	sannino	sannino	PROPN
ap-4423	225	11	.	.	PUNCT
ap-4423	226	1	avoided	avoid	VERB
ap-4423	226	2	level	level	NOUN
ap-4423	226	3	crossing	crossing	NOUN
ap-4423	226	4	and	and	CCONJ
ap-4423	226	5	exceptional	exceptional	ADJ
ap-4423	226	6	points	point	NOUN
ap-4423	226	7	.	.	PUNCT
ap-4423	227	1	j	j	PROPN
ap-4423	227	2	phys	phy	NOUN
ap-4423	227	3	a	a	DET
ap-4423	227	4	23(7):1167	23(7):1167	NUM
ap-4423	227	5	,	,	PUNCT
ap-4423	227	6	1990	1990	NUM
ap-4423	227	7	.	.	PUNCT
ap-4423	228	1	doi:10.1088/0305	doi:10.1088/0305	NOUN
ap-4423	228	2	-	-	NOUN
ap-4423	228	3	4470/23/7/022	4470/23/7/022	NOUN
ap-4423	228	4	.	.	PUNCT
ap-4423	229	1	[	[	X
ap-4423	229	2	5	5	X
ap-4423	229	3	]	]	PUNCT
ap-4423	229	4	w.	w.	PROPN
ap-4423	229	5	d.	d.	PROPN
ap-4423	229	6	heiss	heiss	PROPN
ap-4423	229	7	.	.	PUNCT
ap-4423	230	1	repulsion	repulsion	NOUN
ap-4423	230	2	of	of	ADP
ap-4423	230	3	resonance	resonance	NOUN
ap-4423	230	4	states	state	NOUN
ap-4423	230	5	and	and	CCONJ
ap-4423	230	6	exceptional	exceptional	ADJ
ap-4423	230	7	points	point	NOUN
ap-4423	230	8	.	.	PUNCT
ap-4423	231	1	phys	phy	NOUN
ap-4423	231	2	rev	rev	VERB
ap-4423	231	3	e	e	PROPN
ap-4423	231	4	61:929–932	61:929–932	PROPN
ap-4423	231	5	,	,	PUNCT
ap-4423	231	6	2000	2000	NUM
ap-4423	231	7	.	.	PUNCT
ap-4423	232	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	232	2	/	/	SYM
ap-4423	232	3	physreve.61.929	physreve.61.929	PROPN
ap-4423	232	4	.	.	PUNCT
ap-4423	233	1	[	[	X
ap-4423	233	2	6	6	NUM
ap-4423	233	3	]	]	PUNCT
ap-4423	233	4	e.	e.	PROPN
ap-4423	233	5	hernández	hernández	PROPN
ap-4423	233	6	,	,	PUNCT
ap-4423	233	7	a.	a.	PROPN
ap-4423	233	8	jáuregui	jáuregui	PROPN
ap-4423	233	9	,	,	PUNCT
ap-4423	233	10	a.	a.	NOUN
ap-4423	233	11	mondragán	mondragán	NOUN
ap-4423	233	12	.	.	PUNCT
ap-4423	234	1	nonhermitian	nonhermitian	PROPN
ap-4423	234	2	degeneracy	degeneracy	NOUN
ap-4423	234	3	of	of	ADP
ap-4423	234	4	two	two	NUM
ap-4423	234	5	unbound	unbound	NOUN
ap-4423	234	6	states	state	NOUN
ap-4423	234	7	.	.	PUNCT
ap-4423	235	1	j	j	PROPN
ap-4423	235	2	phys	phy	NOUN
ap-4423	235	3	a	a	DET
ap-4423	235	4	39(32):10087	39(32):10087	NUM
ap-4423	235	5	,	,	PUNCT
ap-4423	235	6	2006	2006	NUM
ap-4423	235	7	.	.	PUNCT
ap-4423	236	1	doi:10.1088/0305	doi:10.1088/0305	ADJ
ap-4423	236	2	-	-	PUNCT
ap-4423	236	3	4470/39/32	4470/39/32	NOUN
ap-4423	236	4	/	/	SYM
ap-4423	236	5	s11	s11	NOUN
ap-4423	236	6	.	.	PUNCT
ap-4423	237	1	[	[	X
ap-4423	237	2	7	7	X
ap-4423	237	3	]	]	X
ap-4423	237	4	r.	r.	PROPN
ap-4423	237	5	lefebvre	lefebvre	PROPN
ap-4423	237	6	,	,	PUNCT
ap-4423	237	7	o.	o.	PROPN
ap-4423	237	8	atabek	atabek	PROPN
ap-4423	237	9	,	,	PUNCT
ap-4423	237	10	m.	m.	NOUN
ap-4423	237	11	šindelka	šindelka	NOUN
ap-4423	237	12	,	,	PUNCT
ap-4423	237	13	n.	n.	PROPN
ap-4423	237	14	moiseyev	moiseyev	PROPN
ap-4423	237	15	.	.	PUNCT
ap-4423	238	1	resonance	resonance	NOUN
ap-4423	238	2	coalescence	coalescence	NOUN
ap-4423	238	3	in	in	ADP
ap-4423	238	4	molecular	molecular	ADJ
ap-4423	238	5	photodissociation	photodissociation	NOUN
ap-4423	238	6	.	.	PUNCT
ap-4423	239	1	phys	phy	NOUN
ap-4423	239	2	rev	rev	VERB
ap-4423	239	3	lett	lett	PROPN
ap-4423	239	4	103:123003	103:123003	NUM
ap-4423	239	5	,	,	PUNCT
ap-4423	239	6	2009	2009	NUM
ap-4423	239	7	.	.	PUNCT
ap-4423	240	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	240	2	/	/	SYM
ap-4423	240	3	physrevlett.103.123003	physrevlett.103.123003	NOUN
ap-4423	240	4	.	.	PUNCT
ap-4423	241	1	[	[	X
ap-4423	241	2	8	8	NUM
ap-4423	241	3	]	]	X
ap-4423	241	4	h.	h.	NOUN
ap-4423	241	5	cartarius	cartarius	PROPN
ap-4423	241	6	,	,	PUNCT
ap-4423	241	7	j.	j.	PROPN
ap-4423	241	8	main	main	PROPN
ap-4423	241	9	,	,	PUNCT
ap-4423	241	10	g.	g.	PROPN
ap-4423	241	11	wunner	wunner	NOUN
ap-4423	241	12	.	.	PUNCT
ap-4423	242	1	exceptional	exceptional	ADJ
ap-4423	242	2	points	point	NOUN
ap-4423	242	3	in	in	ADP
ap-4423	242	4	the	the	DET
ap-4423	242	5	spectra	spectra	NOUN
ap-4423	242	6	of	of	ADP
ap-4423	242	7	atoms	atom	NOUN
ap-4423	242	8	in	in	ADP
ap-4423	242	9	external	external	ADJ
ap-4423	242	10	fields	field	NOUN
ap-4423	242	11	.	.	PUNCT
ap-4423	243	1	phys	phy	NOUN
ap-4423	243	2	rev	rev	VERB
ap-4423	243	3	a	a	DET
ap-4423	243	4	79:053408	79:053408	NUM
ap-4423	243	5	,	,	PUNCT
ap-4423	243	6	2009	2009	NUM
ap-4423	243	7	.	.	PUNCT
ap-4423	244	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	244	2	/	/	SYM
ap-4423	244	3	physreva.79.053408	physreva.79.053408	ADJ
ap-4423	244	4	.	.	PUNCT
ap-4423	245	1	[	[	X
ap-4423	245	2	9	9	NUM
ap-4423	245	3	]	]	X
ap-4423	245	4	s.-b	s.-b	PROPN
ap-4423	245	5	.	.	PROPN
ap-4423	245	6	lee	lee	PROPN
ap-4423	245	7	,	,	PUNCT
ap-4423	245	8	j.	j.	PROPN
ap-4423	245	9	yang	yang	PROPN
ap-4423	245	10	,	,	PUNCT
ap-4423	245	11	s.	s.	PROPN
ap-4423	245	12	moon	moon	PROPN
ap-4423	245	13	,	,	PUNCT
ap-4423	245	14	et	et	PROPN
ap-4423	245	15	al	al	PROPN
ap-4423	245	16	.	.	PUNCT
ap-4423	245	17	observation	observation	NOUN
ap-4423	245	18	of	of	ADP
ap-4423	245	19	an	an	DET
ap-4423	245	20	exceptional	exceptional	ADJ
ap-4423	245	21	point	point	NOUN
ap-4423	245	22	in	in	ADP
ap-4423	245	23	a	a	DET
ap-4423	245	24	chaotic	chaotic	ADJ
ap-4423	245	25	optical	optical	ADJ
ap-4423	245	26	microcavity	microcavity	NOUN
ap-4423	245	27	.	.	PUNCT
ap-4423	246	1	phys	phy	NOUN
ap-4423	246	2	rev	rev	VERB
ap-4423	246	3	lett	lett	PROPN
ap-4423	246	4	103:134101	103:134101	PROPN
ap-4423	246	5	,	,	PUNCT
ap-4423	246	6	2009	2009	NUM
ap-4423	246	7	.	.	PUNCT
ap-4423	247	1	doi:10.1103	doi:10.1103	PROPN
ap-4423	247	2	/	/	SYM
ap-4423	247	3	physrevlett.103.134101	physrevlett.103.134101	NOUN
ap-4423	247	4	.	.	PUNCT
ap-4423	248	1	[	[	X
ap-4423	248	2	10	10	NUM
ap-4423	248	3	]	]	X
ap-4423	248	4	s.	s.	PROPN
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ap-4423	250	7	.	.	PUNCT
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ap-4423	253	7	.	.	PUNCT
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ap-4423	257	7	.	.	PUNCT
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ap-4423	261	5	,	,	PUNCT
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ap-4423	261	7	.	.	PUNCT
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ap-4423	262	4	.	.	PUNCT
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ap-4423	264	24	.	.	PUNCT
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ap-4423	265	5	,	,	PUNCT
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ap-4423	265	7	.	.	PUNCT
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ap-4423	269	5	,	,	PUNCT
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ap-4423	278	4	/	/	SYM
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ap-4423	293	2	rev	rev	VERB
ap-4423	293	3	lett	lett	PROPN
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ap-4423	293	5	,	,	PUNCT
ap-4423	293	6	2003	2003	NUM
ap-4423	293	7	.	.	PUNCT
ap-4423	294	1	doi:10.1103	doi:10.1103	PROPN
ap-4423	294	2	/	/	SYM
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ap-4423	294	4	.	.	PUNCT
ap-4423	295	1	[	[	X
ap-4423	295	2	21	21	NUM
ap-4423	295	3	]	]	X
ap-4423	295	4	b.	b.	PROPN
ap-4423	295	5	dietz	dietz	PROPN
ap-4423	295	6	,	,	PUNCT
ap-4423	295	7	t.	t.	PROPN
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ap-4423	295	9	,	,	PUNCT
ap-4423	295	10	j.	j.	PROPN
ap-4423	295	11	metz	metz	PROPN
ap-4423	295	12	,	,	PUNCT
ap-4423	295	13	et	et	PROPN
ap-4423	295	14	al	al	PROPN
ap-4423	295	15	.	.	PUNCT
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ap-4423	296	2	oscillations	oscillation	NOUN
ap-4423	296	3	at	at	ADP
ap-4423	296	4	exceptional	exceptional	ADJ
ap-4423	296	5	points	point	NOUN
ap-4423	296	6	in	in	ADP
ap-4423	296	7	microwave	microwave	PROPN
ap-4423	296	8	billiards	billiard	NOUN
ap-4423	296	9	.	.	PUNCT
ap-4423	297	1	phys	phy	NOUN
ap-4423	297	2	rev	rev	VERB
ap-4423	297	3	e	e	PROPN
ap-4423	297	4	75:027201	75:027201	NUM
ap-4423	297	5	,	,	PUNCT
ap-4423	297	6	2007	2007	NUM
ap-4423	297	7	.	.	PUNCT
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ap-4423	298	2	/	/	SYM
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ap-4423	298	4	.	.	PUNCT
ap-4423	299	1	[	[	X
ap-4423	299	2	22	22	NUM
ap-4423	299	3	]	]	PUNCT
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ap-4423	299	6	,	,	PUNCT
ap-4423	299	7	w.	w.	PROPN
ap-4423	299	8	d.	d.	PROPN
ap-4423	299	9	heiss	heiss	PROPN
ap-4423	299	10	,	,	PUNCT
ap-4423	299	11	f.	f.	PROPN
ap-4423	299	12	g.	g.	PROPN
ap-4423	299	13	scholtz	scholtz	PROPN
ap-4423	299	14	.	.	PUNCT
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ap-4423	300	4	points	point	NOUN
ap-4423	300	5	in	in	ADP
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ap-4423	300	8	.	.	PUNCT
ap-4423	301	1	j	j	PROPN
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ap-4423	301	3	a	a	DET
ap-4423	301	4	37(31):7813	37(31):7813	NUM
ap-4423	301	5	,	,	PUNCT
ap-4423	301	6	2004	2004	NUM
ap-4423	301	7	.	.	PUNCT
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ap-4423	302	2	-	-	PUNCT
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ap-4423	302	4	.	.	PUNCT
ap-4423	303	1	[	[	X
ap-4423	303	2	23	23	NUM
ap-4423	303	3	]	]	X
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ap-4423	303	6	,	,	PUNCT
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ap-4423	303	9	,	,	PUNCT
ap-4423	303	10	x.	x.	PROPN
ap-4423	303	11	zhang	zhang	PROPN
ap-4423	303	12	,	,	PUNCT
ap-4423	303	13	et	et	PROPN
ap-4423	303	14	al	al	PROPN
ap-4423	303	15	.	.	PROPN
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ap-4423	303	17	of	of	ADP
ap-4423	303	18	pt	pt	NOUN
ap-4423	303	19	symmetry	symmetry	NOUN
ap-4423	303	20	breaking	break	VERB
ap-4423	303	21	in	in	ADP
ap-4423	303	22	polarization	polarization	NOUN
ap-4423	303	23	space	space	NOUN
ap-4423	303	24	with	with	ADP
ap-4423	303	25	terahertz	terahertz	NOUN
ap-4423	303	26	metasurfaces	metasurface	NOUN
ap-4423	303	27	.	.	PUNCT
ap-4423	304	1	phys	phy	NOUN
ap-4423	304	2	rev	rev	VERB
ap-4423	304	3	lett	lett	PROPN
ap-4423	304	4	113:093901	113:093901	NUM
ap-4423	304	5	,	,	PUNCT
ap-4423	304	6	2014	2014	NUM
ap-4423	304	7	.	.	PUNCT
ap-4423	305	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	305	2	/	/	SYM
ap-4423	305	3	physrevlett.113.093901	physrevlett.113.093901	NOUN
ap-4423	305	4	.	.	PUNCT
ap-4423	306	1	[	[	X
ap-4423	306	2	24	24	NUM
ap-4423	306	3	]	]	PUNCT
ap-4423	306	4	t.	t.	PROPN
ap-4423	306	5	gao	gao	PROPN
ap-4423	306	6	,	,	PUNCT
ap-4423	306	7	e.	e.	PROPN
ap-4423	306	8	estrecho	estrecho	PROPN
ap-4423	306	9	,	,	PUNCT
ap-4423	306	10	k.	k.	PROPN
ap-4423	306	11	y.	y.	PROPN
ap-4423	306	12	bliokh	bliokh	PROPN
ap-4423	306	13	,	,	PUNCT
ap-4423	306	14	et	et	PROPN
ap-4423	306	15	al	al	PROPN
ap-4423	306	16	.	.	PROPN
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ap-4423	306	18	of	of	ADP
ap-4423	306	19	non	non	ADJ
ap-4423	306	20	-	-	ADJ
ap-4423	306	21	hermitian	hermitian	ADJ
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ap-4423	306	23	in	in	ADP
ap-4423	306	24	a	a	DET
ap-4423	306	25	chaotic	chaotic	ADJ
ap-4423	306	26	exciton	exciton	NOUN
ap-4423	306	27	-	-	PUNCT
ap-4423	306	28	polariton	polariton	NOUN
ap-4423	306	29	billiard	billiard	NOUN
ap-4423	306	30	.	.	PUNCT
ap-4423	307	1	nature	nature	NOUN
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ap-4423	307	3	,	,	PUNCT
ap-4423	307	4	2015	2015	NUM
ap-4423	307	5	.	.	PUNCT
ap-4423	308	1	doi:10.1038	doi:10.1038	NOUN
ap-4423	308	2	/	/	PUNCT
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ap-4423	309	2	.	.	PUNCT
ap-4423	310	1	[	[	X
ap-4423	310	2	25	25	NUM
ap-4423	310	3	]	]	PUNCT
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ap-4423	310	6	,	,	PUNCT
ap-4423	310	7	a.	a.	PROPN
ap-4423	310	8	a.	a.	PROPN
ap-4423	310	9	mailybaev	mailybaev	PROPN
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ap-4423	310	18	encircling	encircle	VERB
ap-4423	310	19	an	an	DET
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ap-4423	310	21	point	point	NOUN
ap-4423	310	22	for	for	ADP
ap-4423	310	23	asymmetric	asymmetric	ADJ
ap-4423	310	24	mode	mode	NOUN
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ap-4423	310	26	.	.	PUNCT
ap-4423	311	1	nature	nature	NOUN
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ap-4423	311	3	,	,	PUNCT
ap-4423	311	4	2016	2016	NUM
ap-4423	311	5	.	.	PUNCT
ap-4423	312	1	doi:10.1038	doi:10.1038	NOUN
ap-4423	312	2	/	/	SYM
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ap-4423	312	4	.	.	PUNCT
ap-4423	313	1	[	[	X
ap-4423	313	2	26	26	NUM
ap-4423	313	3	]	]	X
ap-4423	313	4	h.	h.	PROPN
ap-4423	313	5	xu	xu	PROPN
ap-4423	313	6	,	,	PUNCT
ap-4423	313	7	d.	d.	PROPN
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ap-4423	313	9	,	,	PUNCT
ap-4423	313	10	l.	l.	PROPN
ap-4423	313	11	jiang	jiang	PROPN
ap-4423	313	12	,	,	PUNCT
ap-4423	313	13	j.	j.	PROPN
ap-4423	313	14	g.	g.	PROPN
ap-4423	313	15	e.	e.	PROPN
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ap-4423	313	17	.	.	PUNCT
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ap-4423	314	2	energy	energy	NOUN
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ap-4423	314	5	an	an	DET
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ap-4423	314	7	system	system	NOUN
ap-4423	314	8	with	with	ADP
ap-4423	314	9	exceptional	exceptional	ADJ
ap-4423	314	10	points	point	NOUN
ap-4423	314	11	.	.	PUNCT
ap-4423	315	1	nature	nature	NOUN
ap-4423	315	2	537(7618):80–83	537(7618):80–83	NUM
ap-4423	315	3	,	,	PUNCT
ap-4423	315	4	2016	2016	NUM
ap-4423	315	5	.	.	PUNCT
ap-4423	316	1	doi:10.1038	doi:10.1038	PROPN
ap-4423	316	2	/	/	SYM
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ap-4423	316	4	.	.	PUNCT
ap-4423	317	1	[	[	X
ap-4423	317	2	27	27	NUM
ap-4423	317	3	]	]	X
ap-4423	317	4	e.	e.	PROPN
ap-4423	317	5	m.	m.	PROPN
ap-4423	317	6	graefe	graefe	PROPN
ap-4423	317	7	,	,	PUNCT
ap-4423	317	8	u.	u.	PROPN
ap-4423	317	9	günther	günther	PROPN
ap-4423	317	10	,	,	PUNCT
ap-4423	317	11	h.	h.	PROPN
ap-4423	317	12	j.	j.	PROPN
ap-4423	317	13	korsch	korsch	PROPN
ap-4423	317	14	,	,	PUNCT
ap-4423	317	15	a.	a.	PROPN
ap-4423	317	16	e.	e.	PROPN
ap-4423	317	17	niederle	niederle	PROPN
ap-4423	317	18	.	.	PUNCT
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ap-4423	318	2	non	non	ADJ
ap-4423	318	3	-	-	ADJ
ap-4423	318	4	hermitian	hermitian	ADJ
ap-4423	318	5	pt	pt	PROPN
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ap-4423	318	9	:	:	PUNCT
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ap-4423	318	11	rings	ring	NOUN
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ap-4423	318	13	unfolding	unfold	VERB
ap-4423	318	14	higherorder	higherorder	NOUN
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ap-4423	318	16	points	point	NOUN
ap-4423	318	17	.	.	PUNCT
ap-4423	319	1	j	j	PROPN
ap-4423	319	2	phys	phy	NOUN
ap-4423	319	3	a	a	DET
ap-4423	319	4	41(25):255206	41(25):255206	NUM
ap-4423	319	5	,	,	PUNCT
ap-4423	319	6	2008	2008	NUM
ap-4423	319	7	.	.	PUNCT
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ap-4423	320	2	-	-	PUNCT
ap-4423	320	3	8113/41/25/255206	8113/41/25/255206	NUM
ap-4423	320	4	.	.	PUNCT
ap-4423	321	1	[	[	X
ap-4423	321	2	28	28	NUM
ap-4423	321	3	]	]	X
ap-4423	321	4	w.	w.	PROPN
ap-4423	321	5	d.	d.	PROPN
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ap-4423	321	7	.	.	PUNCT
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ap-4423	322	3	wavefunctions	wavefunction	NOUN
ap-4423	322	4	for	for	ADP
ap-4423	322	5	three	three	NUM
ap-4423	322	6	coalescing	coalescing	NOUN
ap-4423	322	7	levels	level	NOUN
ap-4423	322	8	.	.	PUNCT
ap-4423	323	1	j	j	PROPN
ap-4423	323	2	phys	phy	NOUN
ap-4423	323	3	a	a	DET
ap-4423	323	4	41(24):244010	41(24):244010	NUM
ap-4423	323	5	,	,	PUNCT
ap-4423	323	6	2008	2008	NUM
ap-4423	323	7	.	.	PUNCT
ap-4423	324	1	doi:10.1088/1751	doi:10.1088/1751	ADV
ap-4423	324	2	-	-	PUNCT
ap-4423	324	3	8113/41/24/244010	8113/41/24/244010	NUM
ap-4423	324	4	.	.	PUNCT
ap-4423	325	1	[	[	X
ap-4423	325	2	29	29	NUM
ap-4423	325	3	]	]	X
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ap-4423	325	5	demange	demange	PROPN
ap-4423	325	6	,	,	PUNCT
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ap-4423	325	8	.	.	PUNCT
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ap-4423	326	2	.	.	PUNCT
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ap-4423	327	2	of	of	ADP
ap-4423	327	3	three	three	NUM
ap-4423	327	4	coalescing	coalesce	VERB
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ap-4423	327	6	.	.	PUNCT
ap-4423	328	1	j	j	PROPN
ap-4423	328	2	phys	phy	NOUN
ap-4423	328	3	a	a	DET
ap-4423	328	4	45(2):025303	45(2):025303	NUM
ap-4423	328	5	,	,	PUNCT
ap-4423	328	6	2012	2012	NUM
ap-4423	328	7	.	.	PUNCT
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ap-4423	329	2	-	-	PUNCT
ap-4423	329	3	8113/45/2/025303	8113/45/2/025303	NUM
ap-4423	329	4	.	.	PUNCT
ap-4423	330	1	[	[	X
ap-4423	330	2	30	30	NUM
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ap-4423	330	5	d.	d.	PROPN
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ap-4423	330	10	.	.	PUNCT
ap-4423	331	1	a	a	DET
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ap-4423	331	5	coupled	couple	VERB
ap-4423	331	6	wave	wave	NOUN
ap-4423	331	7	guides	guide	NOUN
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ap-4423	331	10	order	order	NOUN
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ap-4423	331	12	points	point	NOUN
ap-4423	331	13	.	.	PUNCT
ap-4423	332	1	j	j	PROPN
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ap-4423	332	5	,	,	PUNCT
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ap-4423	332	7	.	.	PUNCT
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ap-4423	333	2	-	-	PUNCT
ap-4423	333	3	8113/49/49/495303	8113/49/49/495303	PROPN
ap-4423	333	4	.	.	PUNCT
ap-4423	334	1	[	[	X
ap-4423	334	2	31	31	NUM
ap-4423	334	3	]	]	X
ap-4423	334	4	u.	u.	NOUN
ap-4423	334	5	günther	günther	PROPN
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ap-4423	334	7	i.	i.	NOUN
ap-4423	334	8	rotter	rotter	PROPN
ap-4423	334	9	,	,	PUNCT
ap-4423	334	10	b.	b.	PROPN
ap-4423	334	11	f.	f.	PROPN
ap-4423	334	12	samsonov	samsonov	PROPN
ap-4423	334	13	.	.	PUNCT
ap-4423	335	1	projective	projective	PROPN
ap-4423	335	2	hilbert	hilbert	PROPN
ap-4423	335	3	space	space	NOUN
ap-4423	335	4	structures	structure	NOUN
ap-4423	335	5	at	at	ADP
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ap-4423	335	7	points	point	NOUN
ap-4423	335	8	.	.	PUNCT
ap-4423	336	1	j	j	PROPN
ap-4423	336	2	phys	phy	NOUN
ap-4423	336	3	a	a	DET
ap-4423	336	4	40(30):8815	40(30):8815	NOUN
ap-4423	336	5	,	,	PUNCT
ap-4423	336	6	2007	2007	NUM
ap-4423	336	7	.	.	PUNCT
ap-4423	337	1	doi:10.1088/1751	doi:10.1088/1751	NOUN
ap-4423	337	2	-	-	PUNCT
ap-4423	337	3	8113/40/30/014	8113/40/30/014	NOUN
ap-4423	337	4	.	.	PUNCT
ap-4423	338	1	[	[	X
ap-4423	338	2	32	32	NUM
ap-4423	338	3	]	]	PUNCT
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ap-4423	338	5	d.	d.	PROPN
ap-4423	338	6	heiss	heiss	PROPN
ap-4423	338	7	.	.	PUNCT
ap-4423	339	1	some	some	DET
ap-4423	339	2	features	feature	NOUN
ap-4423	339	3	of	of	ADP
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ap-4423	339	5	points	point	NOUN
ap-4423	339	6	.	.	PUNCT
ap-4423	340	1	in	in	ADP
ap-4423	340	2	f.	f.	PROPN
ap-4423	340	3	bagarello	bagarello	PROPN
ap-4423	340	4	,	,	PUNCT
ap-4423	340	5	r.	r.	PROPN
ap-4423	340	6	passante	passante	PROPN
ap-4423	340	7	,	,	PUNCT
ap-4423	340	8	c.	c.	PROPN
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ap-4423	340	10	(	(	PUNCT
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ap-4423	340	12	.	.	PUNCT
ap-4423	340	13	)	)	PUNCT
ap-4423	340	14	,	,	PUNCT
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ap-4423	340	16	-	-	ADJ
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ap-4423	340	18	hamiltonians	hamiltonian	NOUN
ap-4423	340	19	in	in	ADP
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ap-4423	340	21	physics	physics	NOUN
ap-4423	340	22	:	:	PUNCT
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ap-4423	340	24	contributions	contribution	NOUN
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ap-4423	340	26	the	the	DET
ap-4423	340	27	15th	15th	ADJ
ap-4423	340	28	international	international	ADJ
ap-4423	340	29	conference	conference	NOUN
ap-4423	340	30	on	on	ADP
ap-4423	340	31	non	non	ADJ
ap-4423	340	32	-	-	ADJ
ap-4423	340	33	hermitian	hermitian	ADJ
ap-4423	340	34	hamiltonians	hamiltonian	NOUN
ap-4423	340	35	in	in	ADP
ap-4423	340	36	quantum	quantum	ADJ
ap-4423	340	37	physics	physics	NOUN
ap-4423	340	38	,	,	PUNCT
ap-4423	340	39	palermo	palermo	PROPN
ap-4423	340	40	,	,	PUNCT
ap-4423	340	41	italy	italy	PROPN
ap-4423	340	42	,	,	PUNCT
ap-4423	340	43	18	18	NUM
ap-4423	340	44	-	-	SYM
ap-4423	340	45	23	23	NUM
ap-4423	340	46	may	may	PROPN
ap-4423	340	47	2015	2015	NUM
ap-4423	340	48	,	,	PUNCT
ap-4423	340	49	pp	pp	ADP
ap-4423	340	50	.	.	PUNCT
ap-4423	341	1	281–288	281–288	NUM
ap-4423	341	2	.	.	PUNCT
ap-4423	341	3	springer	springer	NOUN
ap-4423	341	4	international	international	ADJ
ap-4423	341	5	publishing	publishing	NOUN
ap-4423	341	6	,	,	PUNCT
ap-4423	341	7	cham	cham	NOUN
ap-4423	341	8	,	,	PUNCT
ap-4423	341	9	2016	2016	NUM
ap-4423	341	10	.	.	PUNCT
ap-4423	342	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-4423	342	2	-	-	PUNCT
ap-4423	342	3	3	3	NUM
ap-4423	342	4	-	-	NUM
ap-4423	342	5	319	319	NUM
ap-4423	342	6	-	-	PUNCT
ap-4423	342	7	31356	31356	NUM
ap-4423	342	8	-	-	PUNCT
ap-4423	342	9	6_18	6_18	NOUN
ap-4423	342	10	.	.	PUNCT
ap-4423	343	1	[	[	X
ap-4423	343	2	33	33	NUM
ap-4423	343	3	]	]	X
ap-4423	343	4	c.	c.	PROPN
ap-4423	343	5	m.	m.	PROPN
ap-4423	343	6	bender	bender	PROPN
ap-4423	343	7	,	,	PUNCT
ap-4423	343	8	s.	s.	PROPN
ap-4423	343	9	boettcher	boettcher	PROPN
ap-4423	343	10	.	.	PUNCT
ap-4423	344	1	real	real	ADJ
ap-4423	344	2	spectra	spectra	NOUN
ap-4423	344	3	in	in	ADP
ap-4423	344	4	non	non	ADJ
ap-4423	344	5	-	-	ADJ
ap-4423	344	6	hermitian	hermitian	ADJ
ap-4423	344	7	hamiltonians	hamiltonian	NOUN
ap-4423	344	8	having	have	VERB
ap-4423	344	9	pt	pt	PRON
ap-4423	344	10	symmetry	symmetry	NOUN
ap-4423	344	11	.	.	PUNCT
ap-4423	345	1	phys	phy	NOUN
ap-4423	345	2	rev	rev	VERB
ap-4423	345	3	lett	lett	PROPN
ap-4423	345	4	80:5243–5246	80:5243–5246	PROPN
ap-4423	345	5	,	,	PUNCT
ap-4423	345	6	1998	1998	NUM
ap-4423	345	7	.	.	PUNCT
ap-4423	346	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	346	2	/	/	SYM
ap-4423	346	3	physrevlett.80.5243	physrevlett.80.5243	NOUN
ap-4423	346	4	.	.	PUNCT
ap-4423	347	1	[	[	X
ap-4423	347	2	34	34	NUM
ap-4423	347	3	]	]	X
ap-4423	347	4	c.	c.	PROPN
ap-4423	347	5	m.	m.	PROPN
ap-4423	347	6	bender	bender	PROPN
ap-4423	347	7	,	,	PUNCT
ap-4423	347	8	s.	s.	PROPN
ap-4423	347	9	boettcher	boettcher	PROPN
ap-4423	347	10	,	,	PUNCT
ap-4423	347	11	p.	p.	PROPN
ap-4423	347	12	n.	n.	NOUN
ap-4423	347	13	meisinger	meisinger	NOUN
ap-4423	347	14	.	.	PUNCT
ap-4423	348	1	pt	pt	X
ap-4423	348	2	-symmetric	-symmetric	ADJ
ap-4423	348	3	quantum	quantum	NOUN
ap-4423	348	4	mechanics	mechanic	NOUN
ap-4423	348	5	.	.	PUNCT
ap-4423	349	1	j	j	PROPN
ap-4423	349	2	math	math	PROPN
ap-4423	349	3	phys	phy	NOUN
ap-4423	349	4	40(5):2201	40(5):2201	NUM
ap-4423	349	5	,	,	PUNCT
ap-4423	349	6	1999	1999	NUM
ap-4423	349	7	.	.	PUNCT
ap-4423	350	1	doi:10.1063/1.532860	doi:10.1063/1.532860	NOUN
ap-4423	350	2	.	.	PUNCT
ap-4423	351	1	[	[	X
ap-4423	351	2	35	35	NUM
ap-4423	351	3	]	]	PUNCT
ap-4423	351	4	m.	m.	NOUN
ap-4423	351	5	znojil	znojil	PROPN
ap-4423	351	6	.	.	PUNCT
ap-4423	352	1	exact	exact	ADJ
ap-4423	352	2	solution	solution	NOUN
ap-4423	352	3	for	for	ADP
ap-4423	352	4	morse	morse	ADJ
ap-4423	352	5	oscillator	oscillator	NOUN
ap-4423	352	6	in	in	ADP
ap-4423	352	7	pt	pt	X
ap-4423	352	8	-symmetric	-symmetric	ADJ
ap-4423	352	9	quantum	quantum	NOUN
ap-4423	352	10	mechanics	mechanic	NOUN
ap-4423	352	11	.	.	PUNCT
ap-4423	353	1	phys	phy	NOUN
ap-4423	353	2	lett	lett	PROPN
ap-4423	353	3	a	a	DET
ap-4423	353	4	264(23):108	264(23):108	NUM
ap-4423	353	5	,	,	PUNCT
ap-4423	353	6	1999	1999	NUM
ap-4423	353	7	.	.	PUNCT
ap-4423	354	1	doi:10.1016	doi:10.1016	PROPN
ap-4423	354	2	/	/	SYM
ap-4423	354	3	s0375	s0375	PROPN
ap-4423	354	4	-	-	PUNCT
ap-4423	354	5	9601(99)00805	9601(99)00805	NUM
ap-4423	354	6	-	-	PUNCT
ap-4423	354	7	1	1	NUM
ap-4423	354	8	.	.	PUNCT
ap-4423	355	1	[	[	X
ap-4423	355	2	36	36	NUM
ap-4423	355	3	]	]	X
ap-4423	355	4	v.	v.	CCONJ
ap-4423	355	5	jakubský	jakubský	PROPN
ap-4423	355	6	,	,	PUNCT
ap-4423	355	7	m.	m.	NOUN
ap-4423	355	8	znojil	znojil	PROPN
ap-4423	355	9	.	.	PUNCT
ap-4423	356	1	an	an	DET
ap-4423	356	2	explicitly	explicitly	ADV
ap-4423	356	3	solvable	solvable	ADJ
ap-4423	356	4	model	model	NOUN
ap-4423	356	5	of	of	ADP
ap-4423	356	6	the	the	DET
ap-4423	356	7	spontaneous	spontaneous	ADJ
ap-4423	356	8	pt	pt	PROPN
ap-4423	356	9	-symmetry	-symmetry	NOUN
ap-4423	356	10	breaking	breaking	NOUN
ap-4423	356	11	.	.	PUNCT
ap-4423	357	1	czech	czech	PROPN
ap-4423	357	2	j	j	PROPN
ap-4423	357	3	phys	phy	NOUN
ap-4423	357	4	55:1113–1116	55:1113–1116	NUM
ap-4423	357	5	,	,	PUNCT
ap-4423	357	6	2005	2005	NUM
ap-4423	357	7	.	.	PUNCT
ap-4423	358	1	doi:10.1007	doi:10.1007	VERB
ap-4423	358	2	/	/	SYM
ap-4423	358	3	s10582	s10582	VERB
ap-4423	358	4	-	-	PUNCT
ap-4423	358	5	005	005	NUM
ap-4423	358	6	-	-	PUNCT
ap-4423	358	7	0115	0115	NUM
ap-4423	358	8	-	-	PUNCT
ap-4423	358	9	x.	x.	NOUN
ap-4423	359	1	[	[	X
ap-4423	359	2	37	37	NUM
ap-4423	359	3	]	]	X
ap-4423	359	4	h.	h.	PROPN
ap-4423	359	5	f.	f.	PROPN
ap-4423	359	6	jones	jones	PROPN
ap-4423	359	7	.	.	PROPN
ap-4423	360	1	interface	interface	PROPN
ap-4423	360	2	between	between	ADP
ap-4423	360	3	hermitian	hermitian	PROPN
ap-4423	360	4	and	and	CCONJ
ap-4423	360	5	nonhermitian	nonhermitian	ADJ
ap-4423	360	6	hamiltonians	hamiltonian	NOUN
ap-4423	360	7	in	in	ADP
ap-4423	360	8	a	a	DET
ap-4423	360	9	model	model	NOUN
ap-4423	360	10	calculation	calculation	NOUN
ap-4423	360	11	.	.	PUNCT
ap-4423	361	1	phys	phy	NOUN
ap-4423	361	2	rev	rev	VERB
ap-4423	361	3	d	d	PROPN
ap-4423	361	4	78:065032	78:065032	NUM
ap-4423	361	5	,	,	PUNCT
ap-4423	361	6	2008	2008	NUM
ap-4423	361	7	.	.	PUNCT
ap-4423	362	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	362	2	/	/	SYM
ap-4423	362	3	physrevd.78.065032	physrevd.78.065032	NOUN
ap-4423	362	4	.	.	PUNCT
ap-4423	363	1	[	[	X
ap-4423	363	2	38	38	NUM
ap-4423	363	3	]	]	PUNCT
ap-4423	363	4	h.	h.	PROPN
ap-4423	363	5	mehri	mehri	PROPN
ap-4423	363	6	-	-	PUNCT
ap-4423	363	7	dehnavi	dehnavi	ADV
ap-4423	363	8	,	,	PUNCT
ap-4423	363	9	a.	a.	NOUN
ap-4423	363	10	mostafazadeh	mostafazadeh	PROPN
ap-4423	363	11	,	,	PUNCT
ap-4423	363	12	a.	a.	PROPN
ap-4423	363	13	batal	batal	PROPN
ap-4423	363	14	.	.	PUNCT
ap-4423	364	1	application	application	NOUN
ap-4423	364	2	of	of	ADP
ap-4423	364	3	pseudo	pseudo	NOUN
ap-4423	364	4	-	-	ADJ
ap-4423	364	5	hermitian	hermitian	ADJ
ap-4423	364	6	quantum	quantum	ADJ
ap-4423	364	7	mechanics	mechanic	NOUN
ap-4423	364	8	to	to	ADP
ap-4423	364	9	a	a	DET
ap-4423	364	10	complex	complex	ADJ
ap-4423	364	11	scattering	scattering	ADJ
ap-4423	364	12	potential	potential	NOUN
ap-4423	364	13	with	with	ADP
ap-4423	364	14	point	point	NOUN
ap-4423	364	15	interactions	interaction	NOUN
ap-4423	364	16	.	.	PUNCT
ap-4423	365	1	j	j	PROPN
ap-4423	365	2	phys	phy	NOUN
ap-4423	365	3	a	a	DET
ap-4423	365	4	43:145301	43:145301	NUM
ap-4423	365	5	,	,	PUNCT
ap-4423	365	6	2010	2010	NUM
ap-4423	365	7	.	.	PUNCT
ap-4423	366	1	doi:10.1088/1751	doi:10.1088/1751	ADV
ap-4423	366	2	-	-	PUNCT
ap-4423	366	3	8113/43/14/145301	8113/43/14/145301	NUM
ap-4423	366	4	.	.	PUNCT
ap-4423	367	1	[	[	X
ap-4423	367	2	39	39	NUM
ap-4423	367	3	]	]	PUNCT
ap-4423	367	4	h.	h.	PROPN
ap-4423	367	5	f.	f.	PROPN
ap-4423	367	6	jones	jones	PROPN
ap-4423	367	7	,	,	PUNCT
ap-4423	367	8	e.	e.	PROPN
ap-4423	367	9	s.	s.	PROPN
ap-4423	367	10	moreira	moreira	PROPN
ap-4423	367	11	,	,	PUNCT
ap-4423	367	12	jr	jr	PROPN
ap-4423	367	13	.	.	PROPN
ap-4423	367	14	quantum	quantum	ADJ
ap-4423	367	15	and	and	CCONJ
ap-4423	367	16	classical	classical	ADJ
ap-4423	367	17	statistical	statistical	ADJ
ap-4423	367	18	mechanics	mechanic	NOUN
ap-4423	367	19	of	of	ADP
ap-4423	367	20	a	a	DET
ap-4423	367	21	class	class	NOUN
ap-4423	367	22	of	of	ADP
ap-4423	367	23	non	non	ADJ
ap-4423	367	24	-	-	ADJ
ap-4423	367	25	hermitian	hermitian	ADJ
ap-4423	367	26	hamiltonians	hamiltonian	NOUN
ap-4423	367	27	.	.	PUNCT
ap-4423	368	1	j	j	PROPN
ap-4423	368	2	phys	phy	NOUN
ap-4423	368	3	a	a	DET
ap-4423	368	4	43(5):055307	43(5):055307	NUM
ap-4423	368	5	,	,	PUNCT
ap-4423	368	6	2010	2010	NUM
ap-4423	368	7	.	.	PUNCT
ap-4423	369	1	doi:10.1088/1751	doi:10.1088/1751	ADV
ap-4423	369	2	-	-	PUNCT
ap-4423	369	3	8113/43/5/055307	8113/43/5/055307	NUM
ap-4423	369	4	.	.	PUNCT
ap-4423	370	1	[	[	X
ap-4423	370	2	40	40	NUM
ap-4423	370	3	]	]	PUNCT
ap-4423	370	4	e.-m	e.-m	NOUN
ap-4423	370	5	.	.	PUNCT
ap-4423	371	1	graefe	graefe	PROPN
ap-4423	371	2	.	.	PUNCT
ap-4423	372	1	stationary	stationary	ADJ
ap-4423	372	2	states	state	NOUN
ap-4423	372	3	of	of	ADP
ap-4423	372	4	a	a	DET
ap-4423	372	5	pt	pt	NOUN
ap-4423	372	6	symmetric	symmetric	ADJ
ap-4423	372	7	two	two	NUM
ap-4423	372	8	-	-	PUNCT
ap-4423	372	9	mode	mode	NOUN
ap-4423	372	10	bose	bose	NOUN
ap-4423	372	11	-	-	PUNCT
ap-4423	372	12	einstein	einstein	NOUN
ap-4423	372	13	condensate	condensate	NOUN
ap-4423	372	14	.	.	PUNCT
ap-4423	373	1	j	j	PROPN
ap-4423	373	2	phys	phy	NOUN
ap-4423	373	3	a	a	DET
ap-4423	373	4	45(44):444015	45(44):444015	NUM
ap-4423	373	5	,	,	PUNCT
ap-4423	373	6	2012	2012	NUM
ap-4423	373	7	.	.	PUNCT
ap-4423	374	1	doi:10.1088/1751	doi:10.1088/1751	NOUN
ap-4423	374	2	-	-	PUNCT
ap-4423	374	3	8113/45/44/444015	8113/45/44/444015	NUM
ap-4423	374	4	.	.	PUNCT
ap-4423	375	1	[	[	X
ap-4423	375	2	41	41	NUM
ap-4423	375	3	]	]	X
ap-4423	375	4	w.	w.	PROPN
ap-4423	375	5	d.	d.	PROPN
ap-4423	375	6	heiss	heiss	PROPN
ap-4423	375	7	,	,	PUNCT
ap-4423	375	8	h.	h.	PROPN
ap-4423	375	9	cartarius	cartarius	PROPN
ap-4423	375	10	,	,	PUNCT
ap-4423	375	11	g.	g.	PROPN
ap-4423	375	12	wunner	wunner	PROPN
ap-4423	375	13	,	,	PUNCT
ap-4423	375	14	j.	j.	PROPN
ap-4423	375	15	main	main	PROPN
ap-4423	375	16	.	.	PUNCT
ap-4423	376	1	spectral	spectral	ADJ
ap-4423	376	2	singularities	singularity	NOUN
ap-4423	376	3	in	in	ADP
ap-4423	376	4	pt	pt	X
ap-4423	376	5	-symmetric	-symmetric	ADJ
ap-4423	376	6	bose	bose	NOUN
ap-4423	376	7	-	-	PUNCT
ap-4423	376	8	einstein	einstein	NOUN
ap-4423	376	9	condensates	condensate	NOUN
ap-4423	376	10	.	.	PUNCT
ap-4423	377	1	j	j	PROPN
ap-4423	377	2	phys	phy	NOUN
ap-4423	377	3	a	a	DET
ap-4423	377	4	46(27):275307	46(27):275307	NUM
ap-4423	377	5	,	,	PUNCT
ap-4423	377	6	2013	2013	NUM
ap-4423	377	7	.	.	PUNCT
ap-4423	378	1	doi:10.1088/1751	doi:10.1088/1751	ADV
ap-4423	378	2	-	-	PUNCT
ap-4423	378	3	8113/46/27/275307	8113/46/27/275307	NUM
ap-4423	378	4	.	.	PUNCT
ap-4423	379	1	[	[	X
ap-4423	379	2	42	42	NUM
ap-4423	379	3	]	]	X
ap-4423	379	4	d.	d.	PROPN
ap-4423	379	5	dast	dast	PROPN
ap-4423	379	6	,	,	PUNCT
ap-4423	379	7	d.	d.	PROPN
ap-4423	379	8	haag	haag	PROPN
ap-4423	379	9	,	,	PUNCT
ap-4423	379	10	h.	h.	PROPN
ap-4423	379	11	cartarius	cartarius	PROPN
ap-4423	379	12	,	,	PUNCT
ap-4423	379	13	g.	g.	PROPN
ap-4423	379	14	wunner	wunner	NOUN
ap-4423	379	15	.	.	PUNCT
ap-4423	379	16	quantum	quantum	ADJ
ap-4423	379	17	master	master	NOUN
ap-4423	379	18	equation	equation	NOUN
ap-4423	379	19	with	with	ADP
ap-4423	379	20	balanced	balanced	ADJ
ap-4423	379	21	gain	gain	NOUN
ap-4423	379	22	and	and	CCONJ
ap-4423	379	23	loss	loss	NOUN
ap-4423	379	24	.	.	PUNCT
ap-4423	380	1	phys	phy	NOUN
ap-4423	380	2	rev	rev	VERB
ap-4423	380	3	a	a	DET
ap-4423	380	4	90:052120	90:052120	NUM
ap-4423	380	5	,	,	PUNCT
ap-4423	380	6	2014	2014	NUM
ap-4423	380	7	.	.	PUNCT
ap-4423	381	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	381	2	/	/	SYM
ap-4423	381	3	physreva.90.052120	physreva.90.052120	NOUN
ap-4423	381	4	.	.	PUNCT
ap-4423	382	1	[	[	X
ap-4423	382	2	43	43	NUM
ap-4423	382	3	]	]	X
ap-4423	382	4	n.	n.	PROPN
ap-4423	382	5	abt	abt	PROPN
ap-4423	382	6	,	,	PUNCT
ap-4423	382	7	h.	h.	PROPN
ap-4423	382	8	cartarius	cartarius	PROPN
ap-4423	382	9	,	,	PUNCT
ap-4423	382	10	g.	g.	PROPN
ap-4423	382	11	wunner	wunner	PROPN
ap-4423	382	12	.	.	PUNCT
ap-4423	383	1	supersymmetric	supersymmetric	ADJ
ap-4423	383	2	model	model	NOUN
ap-4423	383	3	of	of	ADP
ap-4423	383	4	a	a	DET
ap-4423	383	5	bose	bose	NOUN
ap-4423	383	6	-	-	PUNCT
ap-4423	383	7	einstein	einstein	NOUN
ap-4423	383	8	condensate	condensate	NOUN
ap-4423	383	9	in	in	ADP
ap-4423	383	10	a	a	DET
ap-4423	383	11	pt	pt	NOUN
ap-4423	383	12	-symmetric	-symmetric	ADJ
ap-4423	383	13	double	double	ADJ
ap-4423	383	14	-	-	PUNCT
ap-4423	383	15	delta	delta	NOUN
ap-4423	383	16	trap	trap	NOUN
ap-4423	383	17	.	.	PUNCT
ap-4423	384	1	int	int	PROPN
ap-4423	385	1	j	j	PROPN
ap-4423	385	2	theor	theor	PROPN
ap-4423	385	3	phys	phys	PROPN
ap-4423	385	4	54(11):4054–4067	54(11):4054–4067	PROPN
ap-4423	385	5	,	,	PUNCT
ap-4423	385	6	2015	2015	NUM
ap-4423	385	7	.	.	PUNCT
ap-4423	386	1	doi:10.1007	doi:10.1007	VERB
ap-4423	386	2	/	/	SYM
ap-4423	386	3	s10773	s10773	NUM
ap-4423	386	4	-	-	PUNCT
ap-4423	386	5	014	014	NUM
ap-4423	386	6	-	-	PUNCT
ap-4423	386	7	2467	2467	NUM
ap-4423	386	8	-	-	SYM
ap-4423	386	9	0	0	NUM
ap-4423	386	10	.	.	PUNCT
ap-4423	387	1	[	[	X
ap-4423	387	2	44	44	NUM
ap-4423	387	3	]	]	PUNCT
ap-4423	387	4	r.	r.	PROPN
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ap-4423	405	7	.	.	PUNCT
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ap-4423	408	7	.	.	PUNCT
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ap-4423	423	4	,	,	PUNCT
ap-4423	423	5	2007	2007	NUM
ap-4423	423	6	.	.	PUNCT
ap-4423	424	1	doi:10.1364	doi:10.1364	PROPN
ap-4423	424	2	/	/	SYM
ap-4423	424	3	ol.32.002632	ol.32.002632	NOUN
ap-4423	424	4	.	.	PUNCT
ap-4423	425	1	[	[	X
ap-4423	425	2	53	53	NUM
ap-4423	425	3	]	]	PUNCT
ap-4423	425	4	k.	k.	PROPN
ap-4423	425	5	g.	g.	PROPN
ap-4423	425	6	makris	makris	PROPN
ap-4423	425	7	,	,	PUNCT
ap-4423	425	8	r.	r.	PROPN
ap-4423	425	9	el	el	PROPN
ap-4423	425	10	-	-	PUNCT
ap-4423	425	11	ganainy	ganainy	PROPN
ap-4423	425	12	,	,	PUNCT
ap-4423	425	13	d.	d.	PROPN
ap-4423	425	14	n.	n.	PROPN
ap-4423	425	15	christodoulides	christodoulides	PROPN
ap-4423	425	16	,	,	PUNCT
ap-4423	425	17	z.	z.	PROPN
ap-4423	425	18	h.	h.	PROPN
ap-4423	425	19	musslimani	musslimani	PROPN
ap-4423	425	20	.	.	PUNCT
ap-4423	426	1	beam	beam	NOUN
ap-4423	426	2	dynamics	dynamic	NOUN
ap-4423	426	3	in	in	ADP
ap-4423	426	4	pt	pt	PROPN
ap-4423	426	5	symmetric	symmetric	ADJ
ap-4423	426	6	optical	optical	ADJ
ap-4423	426	7	lattices	lattice	NOUN
ap-4423	426	8	.	.	PUNCT
ap-4423	427	1	phys	phy	NOUN
ap-4423	427	2	rev	rev	VERB
ap-4423	427	3	lett	lett	PROPN
ap-4423	427	4	100:103904	100:103904	NUM
ap-4423	427	5	,	,	PUNCT
ap-4423	427	6	2008	2008	NUM
ap-4423	427	7	.	.	PUNCT
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ap-4423	428	2	/	/	SYM
ap-4423	428	3	physrevlett.100.103904	physrevlett.100.103904	VERB
ap-4423	428	4	.	.	PUNCT
ap-4423	429	1	[	[	X
ap-4423	429	2	54	54	NUM
ap-4423	429	3	]	]	PUNCT
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ap-4423	429	6	,	,	PUNCT
ap-4423	429	7	h.	h.	PROPN
ap-4423	429	8	mehri	mehri	PROPN
ap-4423	429	9	-	-	PUNCT
ap-4423	429	10	dehnavi	dehnavi	ADJ
ap-4423	429	11	.	.	PUNCT
ap-4423	430	1	spectral	spectral	ADJ
ap-4423	430	2	singularities	singularity	NOUN
ap-4423	430	3	,	,	PUNCT
ap-4423	430	4	biorthonormal	biorthonormal	ADJ
ap-4423	430	5	systems	system	NOUN
ap-4423	430	6	and	and	CCONJ
ap-4423	430	7	a	a	DET
ap-4423	430	8	twoparameter	twoparameter	ADJ
ap-4423	430	9	family	family	NOUN
ap-4423	430	10	of	of	ADP
ap-4423	430	11	complex	complex	ADJ
ap-4423	430	12	point	point	NOUN
ap-4423	430	13	interactions	interaction	NOUN
ap-4423	430	14	.	.	PUNCT
ap-4423	431	1	j	j	PROPN
ap-4423	431	2	phys	phy	NOUN
ap-4423	431	3	a	a	DET
ap-4423	431	4	42:125303	42:125303	NOUN
ap-4423	431	5	,	,	PUNCT
ap-4423	431	6	2009	2009	NUM
ap-4423	431	7	.	.	PUNCT
ap-4423	432	1	doi:10.1088/1751	doi:10.1088/1751	PROPN
ap-4423	432	2	-	-	PUNCT
ap-4423	432	3	8113/42/12/125303	8113/42/12/125303	NUM
ap-4423	432	4	.	.	PUNCT
ap-4423	433	1	[	[	X
ap-4423	433	2	55	55	NUM
ap-4423	433	3	]	]	X
ap-4423	433	4	c.	c.	PROPN
ap-4423	433	5	m.	m.	PROPN
ap-4423	433	6	bender	bender	PROPN
ap-4423	433	7	,	,	PUNCT
ap-4423	433	8	m.	m.	NOUN
ap-4423	433	9	gianfreda	gianfreda	PROPN
ap-4423	433	10	,	,	PUNCT
ap-4423	433	11	ş	ş	PROPN
ap-4423	433	12	.	.	PUNCT
ap-4423	433	13	k.	k.	PROPN
ap-4423	433	14	özdemir	özdemir	PROPN
ap-4423	433	15	,	,	PUNCT
ap-4423	433	16	et	et	PROPN
ap-4423	433	17	al	al	PROPN
ap-4423	433	18	.	.	PROPN
ap-4423	433	19	twofold	twofold	PROPN
ap-4423	433	20	transition	transition	PROPN
ap-4423	433	21	in	in	ADP
ap-4423	433	22	pt	pt	X
ap-4423	433	23	-symmetric	-symmetric	NOUN
ap-4423	433	24	coupled	couple	VERB
ap-4423	433	25	oscillators	oscillator	NOUN
ap-4423	433	26	.	.	PUNCT
ap-4423	434	1	phys	phy	NOUN
ap-4423	434	2	rev	rev	VERB
ap-4423	434	3	a	a	DET
ap-4423	434	4	88:062111	88:062111	PROPN
ap-4423	434	5	,	,	PUNCT
ap-4423	434	6	2013	2013	NUM
ap-4423	434	7	.	.	PUNCT
ap-4423	435	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	435	2	/	/	SYM
ap-4423	435	3	physreva.88.062111	physreva.88.062111	ADJ
ap-4423	435	4	.	.	PUNCT
ap-4423	436	1	[	[	X
ap-4423	436	2	56	56	NUM
ap-4423	436	3	]	]	X
ap-4423	436	4	s.	s.	PROPN
ap-4423	436	5	bittner	bittner	PROPN
ap-4423	436	6	,	,	PUNCT
ap-4423	436	7	b.	b.	PROPN
ap-4423	436	8	dietz	dietz	PROPN
ap-4423	436	9	,	,	PUNCT
ap-4423	436	10	h.	h.	PROPN
ap-4423	436	11	l.	l.	PROPN
ap-4423	436	12	harney	harney	PROPN
ap-4423	436	13	,	,	PUNCT
ap-4423	436	14	et	et	PROPN
ap-4423	436	15	al	al	PROPN
ap-4423	436	16	.	.	PUNCT
ap-4423	437	1	scattering	scatter	VERB
ap-4423	437	2	experiments	experiment	NOUN
ap-4423	437	3	with	with	ADP
ap-4423	437	4	microwave	microwave	NOUN
ap-4423	437	5	billiards	billiard	NOUN
ap-4423	437	6	at	at	ADP
ap-4423	437	7	an	an	DET
ap-4423	437	8	exceptional	exceptional	ADJ
ap-4423	437	9	point	point	NOUN
ap-4423	437	10	under	under	ADP
ap-4423	437	11	broken	broken	ADJ
ap-4423	437	12	time	time	NOUN
ap-4423	437	13	-	-	PUNCT
ap-4423	437	14	reversal	reversal	NOUN
ap-4423	437	15	invariance	invariance	NOUN
ap-4423	437	16	.	.	PUNCT
ap-4423	438	1	phys	phy	NOUN
ap-4423	438	2	rev	rev	VERB
ap-4423	438	3	e	e	PROPN
ap-4423	438	4	89:032909	89:032909	NUM
ap-4423	438	5	,	,	PUNCT
ap-4423	438	6	2014	2014	NUM
ap-4423	438	7	.	.	PUNCT
ap-4423	439	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	439	2	/	/	SYM
ap-4423	439	3	physreve.89.032909	physreve.89.032909	ADJ
ap-4423	439	4	.	.	PUNCT
ap-4423	440	1	[	[	X
ap-4423	440	2	57	57	NUM
ap-4423	440	3	]	]	PUNCT
ap-4423	440	4	a.	a.	NOUN
ap-4423	440	5	mostafazadeh	mostafazadeh	PROPN
ap-4423	440	6	.	.	PUNCT
ap-4423	441	1	nonlinear	nonlinear	ADJ
ap-4423	441	2	spectral	spectral	ADJ
ap-4423	441	3	singularities	singularity	NOUN
ap-4423	441	4	of	of	ADP
ap-4423	441	5	a	a	DET
ap-4423	441	6	complex	complex	ADJ
ap-4423	441	7	barrier	barrier	NOUN
ap-4423	441	8	potential	potential	NOUN
ap-4423	441	9	and	and	CCONJ
ap-4423	441	10	the	the	DET
ap-4423	441	11	lasing	lase	VERB
ap-4423	441	12	threshold	threshold	NOUN
ap-4423	441	13	condition	condition	NOUN
ap-4423	441	14	.	.	PUNCT
ap-4423	442	1	phys	phy	NOUN
ap-4423	442	2	rev	rev	VERB
ap-4423	442	3	a	a	DET
ap-4423	442	4	87:063838	87:063838	NOUN
ap-4423	442	5	,	,	PUNCT
ap-4423	442	6	2013	2013	NUM
ap-4423	442	7	.	.	PUNCT
ap-4423	443	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	443	2	/	/	SYM
ap-4423	443	3	physreva.87.063838	physreva.87.063838	NOUN
ap-4423	443	4	.	.	PUNCT
ap-4423	444	1	[	[	X
ap-4423	444	2	58	58	NUM
ap-4423	444	3	]	]	X
ap-4423	444	4	b.	b.	PROPN
ap-4423	444	5	peng	peng	PROPN
ap-4423	444	6	,	,	PUNCT
ap-4423	444	7	s.	s.	PROPN
ap-4423	444	8	k.	k.	PROPN
ap-4423	444	9	ozdemir	ozdemir	PROPN
ap-4423	444	10	,	,	PUNCT
ap-4423	444	11	f.	f.	PROPN
ap-4423	444	12	lei	lei	PROPN
ap-4423	444	13	,	,	PUNCT
ap-4423	445	1	et	et	PROPN
ap-4423	445	2	al	al	PROPN
ap-4423	445	3	.	.	PUNCT
ap-4423	445	4	parity	parity	NOUN
ap-4423	445	5	-	-	PUNCT
ap-4423	445	6	time	time	NOUN
ap-4423	445	7	-	-	PUNCT
ap-4423	445	8	symmetric	symmetric	ADJ
ap-4423	445	9	whispering	whispering	NOUN
ap-4423	445	10	-	-	PUNCT
ap-4423	445	11	gallery	gallery	NOUN
ap-4423	445	12	microcavities	microcavitie	NOUN
ap-4423	445	13	.	.	PUNCT
ap-4423	446	1	nat	nat	PROPN
ap-4423	446	2	phys	phy	NOUN
ap-4423	446	3	10(5):394–398	10(5):394–398	NUM
ap-4423	446	4	,	,	PUNCT
ap-4423	446	5	2014	2014	NUM
ap-4423	446	6	.	.	PUNCT
ap-4423	447	1	doi:10.1038	doi:10.1038	NOUN
ap-4423	447	2	/	/	PUNCT
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ap-4423	447	4	.	.	PUNCT
ap-4423	448	1	[	[	X
ap-4423	448	2	59	59	NUM
ap-4423	448	3	]	]	PUNCT
ap-4423	448	4	j.	j.	PROPN
ap-4423	448	5	schindler	schindler	PROPN
ap-4423	448	6	,	,	PUNCT
ap-4423	448	7	a.	a.	PROPN
ap-4423	448	8	li	li	PROPN
ap-4423	448	9	,	,	PUNCT
ap-4423	448	10	m.	m.	PROPN
ap-4423	448	11	c.	c.	PROPN
ap-4423	448	12	zheng	zheng	PROPN
ap-4423	448	13	,	,	PUNCT
ap-4423	448	14	et	et	PROPN
ap-4423	448	15	al	al	PROPN
ap-4423	448	16	.	.	PUNCT
ap-4423	448	17	experimental	experimental	ADJ
ap-4423	448	18	study	study	NOUN
ap-4423	448	19	of	of	ADP
ap-4423	448	20	active	active	ADJ
ap-4423	448	21	lrc	lrc	PROPN
ap-4423	448	22	circuits	circuit	NOUN
ap-4423	448	23	with	with	ADP
ap-4423	448	24	pt	pt	NOUN
ap-4423	448	25	symmetries	symmetry	NOUN
ap-4423	448	26	.	.	PUNCT
ap-4423	449	1	phys	phy	NOUN
ap-4423	449	2	rev	rev	VERB
ap-4423	449	3	a	a	DET
ap-4423	449	4	84:040101	84:040101	NUM
ap-4423	449	5	,	,	PUNCT
ap-4423	449	6	2011	2011	NUM
ap-4423	449	7	.	.	PUNCT
ap-4423	450	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	450	2	/	/	SYM
ap-4423	450	3	physreva.84.040101	physreva.84.040101	NOUN
ap-4423	450	4	.	.	PUNCT
ap-4423	451	1	[	[	X
ap-4423	451	2	60	60	NUM
ap-4423	451	3	]	]	X
ap-4423	451	4	e.-m	e.-m	NOUN
ap-4423	451	5	.	.	PUNCT
ap-4423	452	1	graefe	graefe	PROPN
ap-4423	452	2	,	,	PUNCT
ap-4423	452	3	a.	a.	PROPN
ap-4423	452	4	a.	a.	PROPN
ap-4423	452	5	mailybaev	mailybaev	PROPN
ap-4423	452	6	,	,	PUNCT
ap-4423	452	7	n.	n.	PROPN
ap-4423	452	8	moiseyev	moiseyev	PROPN
ap-4423	452	9	.	.	PUNCT
ap-4423	453	1	breakdown	breakdown	NOUN
ap-4423	453	2	of	of	ADP
ap-4423	453	3	adiabatic	adiabatic	ADJ
ap-4423	453	4	transfer	transfer	NOUN
ap-4423	453	5	of	of	ADP
ap-4423	453	6	light	light	NOUN
ap-4423	453	7	in	in	ADP
ap-4423	453	8	waveguides	waveguide	NOUN
ap-4423	453	9	in	in	ADP
ap-4423	453	10	the	the	DET
ap-4423	453	11	presence	presence	NOUN
ap-4423	453	12	of	of	ADP
ap-4423	453	13	absorption	absorption	NOUN
ap-4423	453	14	.	.	PUNCT
ap-4423	454	1	phys	phy	NOUN
ap-4423	454	2	rev	rev	VERB
ap-4423	454	3	a	a	DET
ap-4423	454	4	88:033842	88:033842	NUM
ap-4423	454	5	,	,	PUNCT
ap-4423	454	6	2013	2013	NUM
ap-4423	454	7	.	.	PUNCT
ap-4423	455	1	doi:10.1103	doi:10.1103	PROPN
ap-4423	455	2	/	/	SYM
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ap-4423	455	4	.	.	PUNCT
ap-4423	456	1	[	[	X
ap-4423	456	2	61	61	NUM
ap-4423	456	3	]	]	PUNCT
ap-4423	456	4	s.	s.	PROPN
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ap-4423	456	6	,	,	PUNCT
ap-4423	456	7	u.	u.	PROPN
ap-4423	456	8	günther	günther	PROPN
ap-4423	456	9	,	,	PUNCT
ap-4423	456	10	n.	n.	PROPN
ap-4423	456	11	moiseyev	moiseyev	PROPN
ap-4423	456	12	.	.	PUNCT
ap-4423	457	1	visualization	visualization	NOUN
ap-4423	457	2	of	of	ADP
ap-4423	457	3	branch	branch	NOUN
ap-4423	457	4	points	point	NOUN
ap-4423	457	5	in	in	ADP
ap-4423	457	6	pt	pt	NOUN
ap-4423	457	7	-symmetric	-symmetric	ADJ
ap-4423	457	8	waveguides	waveguide	NOUN
ap-4423	457	9	.	.	PUNCT
ap-4423	458	1	phys	phy	NOUN
ap-4423	458	2	rev	rev	VERB
ap-4423	458	3	lett	lett	PROPN
ap-4423	458	4	101:080402	101:080402	PROPN
ap-4423	458	5	,	,	PUNCT
ap-4423	458	6	2008	2008	NUM
ap-4423	458	7	.	.	PUNCT
ap-4423	459	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	459	2	/	/	SYM
ap-4423	459	3	physrevlett.101.080402	physrevlett.101.080402	NOUN
ap-4423	459	4	.	.	PUNCT
ap-4423	460	1	[	[	X
ap-4423	460	2	62	62	NUM
ap-4423	460	3	]	]	PUNCT
ap-4423	460	4	c.	c.	PROPN
ap-4423	460	5	e.	e.	PROPN
ap-4423	460	6	rüter	rüter	PROPN
ap-4423	460	7	,	,	PUNCT
ap-4423	460	8	k.	k.	PROPN
ap-4423	460	9	g.	g.	PROPN
ap-4423	460	10	makris	makris	PROPN
ap-4423	460	11	,	,	PUNCT
ap-4423	460	12	r.	r.	PROPN
ap-4423	460	13	el	el	PROPN
ap-4423	460	14	-	-	PUNCT
ap-4423	460	15	ganainy	ganainy	PROPN
ap-4423	460	16	,	,	PUNCT
ap-4423	460	17	et	et	PROPN
ap-4423	460	18	al	al	PROPN
ap-4423	460	19	.	.	PUNCT
ap-4423	460	20	observation	observation	NOUN
ap-4423	460	21	of	of	ADP
ap-4423	460	22	parity	parity	NOUN
ap-4423	460	23	-	-	PUNCT
ap-4423	460	24	time	time	NOUN
ap-4423	460	25	symmetry	symmetry	NOUN
ap-4423	460	26	in	in	ADP
ap-4423	460	27	optics	optic	NOUN
ap-4423	460	28	.	.	PUNCT
ap-4423	461	1	nat	nat	PROPN
ap-4423	461	2	phys	phy	NOUN
ap-4423	461	3	6:192	6:192	NOUN
ap-4423	461	4	,	,	PUNCT
ap-4423	461	5	2010	2010	NUM
ap-4423	461	6	.	.	PUNCT
ap-4423	462	1	doi:10.1038	doi:10.1038	NOUN
ap-4423	462	2	/	/	SYM
ap-4423	462	3	nphys1515	nphys1515	PROPN
ap-4423	462	4	.	.	PUNCT
ap-4423	463	1	[	[	X
ap-4423	463	2	63	63	NUM
ap-4423	463	3	]	]	PUNCT
ap-4423	463	4	j.	j.	PROPN
ap-4423	463	5	schnabel	schnabel	PROPN
ap-4423	463	6	,	,	PUNCT
ap-4423	463	7	h.	h.	PROPN
ap-4423	463	8	cartarius	cartarius	PROPN
ap-4423	463	9	,	,	PUNCT
ap-4423	463	10	j.	j.	PROPN
ap-4423	463	11	main	main	PROPN
ap-4423	463	12	,	,	PUNCT
ap-4423	463	13	et	et	PROPN
ap-4423	463	14	al	al	PROPN
ap-4423	463	15	.	.	PROPN
ap-4423	463	16	pt	pt	PROPN
ap-4423	463	17	-symmetric	-symmetric	ADJ
ap-4423	463	18	waveguide	waveguide	ADJ
ap-4423	463	19	system	system	NOUN
ap-4423	463	20	with	with	ADP
ap-4423	463	21	evidence	evidence	NOUN
ap-4423	463	22	of	of	ADP
ap-4423	463	23	a	a	DET
ap-4423	463	24	third	third	ADJ
ap-4423	463	25	-	-	PUNCT
ap-4423	463	26	order	order	NOUN
ap-4423	463	27	exceptional	exceptional	ADJ
ap-4423	463	28	point	point	NOUN
ap-4423	463	29	.	.	PUNCT
ap-4423	464	1	phys	phy	NOUN
ap-4423	464	2	rev	rev	VERB
ap-4423	464	3	a	a	DET
ap-4423	464	4	95:053868	95:053868	PROPN
ap-4423	464	5	,	,	PUNCT
ap-4423	464	6	2017	2017	NUM
ap-4423	464	7	.	.	PUNCT
ap-4423	465	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	465	2	/	/	SYM
ap-4423	465	3	physreva.95.053868	physreva.95.053868	ADJ
ap-4423	465	4	.	.	PUNCT
ap-4423	466	1	[	[	X
ap-4423	466	2	64	64	NUM
ap-4423	466	3	]	]	PUNCT
ap-4423	466	4	l.	l.	PROPN
ap-4423	466	5	ge	ge	PROPN
ap-4423	466	6	.	.	PUNCT
ap-4423	467	1	parity	parity	NOUN
ap-4423	467	2	-	-	PUNCT
ap-4423	467	3	time	time	NOUN
ap-4423	467	4	symmetry	symmetry	NOUN
ap-4423	467	5	in	in	ADP
ap-4423	467	6	a	a	DET
ap-4423	467	7	flat	flat	ADJ
ap-4423	467	8	-	-	PUNCT
ap-4423	467	9	band	band	NOUN
ap-4423	467	10	system	system	NOUN
ap-4423	467	11	.	.	PUNCT
ap-4423	468	1	phys	phy	NOUN
ap-4423	468	2	rev	rev	VERB
ap-4423	468	3	a	a	DET
ap-4423	468	4	92:052103	92:052103	NUM
ap-4423	468	5	,	,	PUNCT
ap-4423	468	6	2015	2015	NUM
ap-4423	468	7	.	.	PUNCT
ap-4423	469	1	doi:10.1103	doi:10.1103	NOUN
ap-4423	469	2	/	/	SYM
ap-4423	469	3	physreva.92.052103	physreva.92.052103	NOUN
ap-4423	469	4	.	.	PUNCT
ap-4423	470	1	[	[	X
ap-4423	470	2	65	65	NUM
ap-4423	470	3	]	]	X
ap-4423	470	4	b.	b.	PROPN
ap-4423	470	5	qi	qi	PROPN
ap-4423	470	6	,	,	PUNCT
ap-4423	470	7	l.	l.	PROPN
ap-4423	470	8	ge	ge	PROPN
ap-4423	470	9	.	.	PUNCT
ap-4423	471	1	defect	defect	VERB
ap-4423	471	2	states	state	NOUN
ap-4423	471	3	emerging	emerge	VERB
ap-4423	471	4	from	from	ADP
ap-4423	471	5	a	a	DET
ap-4423	471	6	non	non	ADJ
ap-4423	471	7	-	-	ADJ
ap-4423	471	8	hermitian	hermitian	ADJ
ap-4423	471	9	flat	flat	ADJ
ap-4423	471	10	band	band	NOUN
ap-4423	471	11	of	of	ADP
ap-4423	471	12	photonic	photonic	ADJ
ap-4423	471	13	zero	zero	NUM
ap-4423	471	14	modes	mode	NOUN
ap-4423	471	15	.	.	PUNCT
ap-4423	472	1	in	in	ADP
ap-4423	472	2	frontiers	frontier	NOUN
ap-4423	472	3	in	in	ADP
ap-4423	472	4	optics	optic	NOUN
ap-4423	472	5	2017	2017	NUM
ap-4423	472	6	,	,	PUNCT
ap-4423	472	7	p.	p.	NOUN
ap-4423	472	8	jw3a.55	jw3a.55	PROPN
ap-4423	472	9	.	.	PUNCT
ap-4423	473	1	optical	optical	ADJ
ap-4423	473	2	society	society	NOUN
ap-4423	473	3	of	of	ADP
ap-4423	473	4	america	america	PROPN
ap-4423	473	5	,	,	PUNCT
ap-4423	473	6	2017	2017	NUM
ap-4423	473	7	.	.	PUNCT
ap-4423	474	1	doi:10.1364	doi:10.1364	NOUN
ap-4423	474	2	/	/	SYM
ap-4423	474	3	fio.2017.jw3a.55	fio.2017.jw3a.55	NOUN
ap-4423	474	4	.	.	PUNCT
ap-4423	475	1	[	[	X
ap-4423	475	2	66	66	NUM
ap-4423	475	3	]	]	PUNCT
ap-4423	475	4	a.	a.	NOUN
ap-4423	475	5	a.	a.	PROPN
ap-4423	475	6	mailybaev	mailybaev	PROPN
ap-4423	475	7	.	.	PUNCT
ap-4423	476	1	computation	computation	NOUN
ap-4423	476	2	of	of	ADP
ap-4423	476	3	multiple	multiple	ADJ
ap-4423	476	4	eigenvalues	eigenvalue	NOUN
ap-4423	476	5	and	and	CCONJ
ap-4423	476	6	generalized	generalized	ADJ
ap-4423	476	7	eigenvectors	eigenvector	NOUN
ap-4423	476	8	for	for	ADP
ap-4423	476	9	matrices	matrix	NOUN
ap-4423	476	10	dependent	dependent	ADJ
ap-4423	476	11	on	on	ADP
ap-4423	476	12	parameters	parameter	NOUN
ap-4423	476	13	.	.	PUNCT
ap-4423	477	1	numer	numer	PROPN
ap-4423	478	1	linear	linear	PROPN
ap-4423	478	2	algebra	algebra	PROPN
ap-4423	478	3	appl	appl	PROPN
ap-4423	478	4	13(5):419–436	13(5):419–436	PROPN
ap-4423	478	5	,	,	PUNCT
ap-4423	478	6	2006	2006	NUM
ap-4423	478	7	.	.	PUNCT
ap-4423	479	1	doi:10.1002	doi:10.1002	NOUN
ap-4423	479	2	/	/	SYM
ap-4423	479	3	nla.471	nla.471	NOUN
ap-4423	479	4	.	.	PUNCT
ap-4423	480	1	461	461	NUM
ap-4423	480	2	http://dx.doi.org/10.1103/physreva.96.012127	http://dx.doi.org/10.1103/physreva.96.012127	NOUN
ap-4423	480	3	http://dx.doi.org/10.1103/physreva.95.053613	http://dx.doi.org/10.1103/physreva.95.053613	PROPN
ap-4423	480	4	http://dx.doi.org/10.1103/physreva.95.053626	http://dx.doi.org/10.1103/physreva.95.053626	PROPN
ap-4423	480	5	http://dx.doi.org/10.1103/physrevd.85.085001	http://dx.doi.org/10.1103/physrevd.85.085001	NOUN
ap-4423	480	6	http://dx.doi.org/10.1002/prop.201200100	http://dx.doi.org/10.1002/prop.201200100	PUNCT
ap-4423	480	7	http://dx.doi.org/10.1364/ol.32.002632	http://dx.doi.org/10.1364/ol.32.002632	ADJ
ap-4423	480	8	http://dx.doi.org/10.1103/physrevlett.100.103904	http://dx.doi.org/10.1103/physrevlett.100.103904	ADJ
ap-4423	480	9	http://dx.doi.org/10.1088/1751-8113/42/12/125303	http://dx.doi.org/10.1088/1751-8113/42/12/125303	PUNCT
ap-4423	480	10	http://dx.doi.org/10.1103/physreva.88.062111	http://dx.doi.org/10.1103/physreva.88.062111	PROPN
ap-4423	480	11	http://dx.doi.org/10.1103/physreve.89.032909	http://dx.doi.org/10.1103/physreve.89.032909	PROPN
ap-4423	480	12	http://dx.doi.org/10.1103/physreva.87.063838	http://dx.doi.org/10.1103/physreva.87.063838	X
ap-4423	480	13	http://dx.doi.org/10.1038/nphys2927	http://dx.doi.org/10.1038/nphys2927	AUX
ap-4423	480	14	http://dx.doi.org/10.1103/physreva.84.040101	http://dx.doi.org/10.1103/physreva.84.040101	NOUN
ap-4423	480	15	http://dx.doi.org/10.1103/physreva.88.033842	http://dx.doi.org/10.1103/physreva.88.033842	NOUN
ap-4423	480	16	http://dx.doi.org/10.1103/physrevlett.101.080402	http://dx.doi.org/10.1103/physrevlett.101.080402	NOUN
ap-4423	480	17	http://dx.doi.org/10.1038/nphys1515	http://dx.doi.org/10.1038/nphys1515	NOUN
ap-4423	480	18	http://dx.doi.org/10.1103/physreva.95.053868	http://dx.doi.org/10.1103/physreva.95.053868	VERB
ap-4423	480	19	http://dx.doi.org/10.1103/physreva.92.052103	http://dx.doi.org/10.1103/physreva.92.052103	NOUN
ap-4423	480	20	http://dx.doi.org/10.1364/fio.2017.jw3a.55	http://dx.doi.org/10.1364/fio.2017.jw3a.55	PUNCT
ap-4423	480	21	http://dx.doi.org/10.1002/nla.471	http://dx.doi.org/10.1002/nla.471	PROPN
ap-4423	480	22	acta	acta	PROPN
ap-4423	480	23	polytechnica	polytechnica	PROPN
ap-4423	480	24	57(6):454–461	57(6):454–461	PROPN
ap-4423	480	25	,	,	PUNCT
ap-4423	480	26	2017	2017	NUM
ap-4423	480	27	1	1	NUM
ap-4423	480	28	introduction	introduction	NOUN
ap-4423	480	29	2	2	NUM
ap-4423	480	30	three	three	NUM
ap-4423	480	31	optical	optical	ADJ
ap-4423	480	32	wave	wave	NOUN
ap-4423	480	33	guides	guide	NOUN
ap-4423	480	34	with	with	ADP
ap-4423	480	35	a	a	DET
ap-4423	480	36	complex	complex	ADJ
ap-4423	480	37	pt	pt	ADJ
ap-4423	480	38	-	-	PUNCT
ap-4423	480	39	symmetric	symmetric	ADJ
ap-4423	480	40	refractive	refractive	ADJ
ap-4423	480	41	index	index	NOUN
ap-4423	480	42	profile	profile	NOUN
ap-4423	480	43	3	3	NUM
ap-4423	480	44	mapping	mapping	NOUN
ap-4423	480	45	onto	onto	ADP
ap-4423	480	46	a	a	DET
ap-4423	480	47	matrix	matrix	NOUN
ap-4423	480	48	model	model	NOUN
ap-4423	480	49	4	4	NUM
ap-4423	480	50	continuously	continuously	ADV
ap-4423	480	51	distributed	distribute	VERB
ap-4423	480	52	exceptional	exceptional	ADJ
ap-4423	480	53	points	point	NOUN
ap-4423	480	54	around	around	ADP
ap-4423	480	55	the	the	DET
ap-4423	480	56	ep3	ep3	NOUN
ap-4423	480	57	5	5	NUM
ap-4423	480	58	conclusion	conclusion	NOUN
ap-4423	480	59	acknowledgements	acknowledgement	NOUN
ap-4423	480	60	references	reference	NOUN