id	sid	tid	token	lemma	pos
ap-7738	1	1	acta	acta	PROPN
ap-7738	1	2	polytechnica	polytechnica	PROPN
ap-7738	1	3	https://doi.org/10.14311/ap.2022.62.0001	https://doi.org/10.14311/ap.2022.62.0001	PROPN
ap-7738	1	4	acta	acta	PROPN
ap-7738	1	5	polytechnica	polytechnica	PROPN
ap-7738	1	6	62(1):1–7	62(1):1–7	PROPN
ap-7738	1	7	,	,	PUNCT
ap-7738	1	8	2022	2022	NUM
ap-7738	1	9	©	©	ADP
ap-7738	1	10	2022	2022	NUM
ap-7738	1	11	the	the	DET
ap-7738	1	12	author(s	author(s	NOUN
ap-7738	1	13	)	)	PUNCT
ap-7738	1	14	.	.	PUNCT
ap-7738	2	1	licensed	license	VERB
ap-7738	2	2	under	under	ADP
ap-7738	2	3	a	a	DET
ap-7738	2	4	cc	cc	NOUN
ap-7738	2	5	-	-	PUNCT
ap-7738	2	6	by	by	ADP
ap-7738	2	7	4.0	4.0	NUM
ap-7738	2	8	licence	licence	NOUN
ap-7738	2	9	published	publish	VERB
ap-7738	2	10	by	by	ADP
ap-7738	2	11	the	the	DET
ap-7738	2	12	czech	czech	PROPN
ap-7738	2	13	technical	technical	PROPN
ap-7738	2	14	university	university	PROPN
ap-7738	2	15	in	in	ADP
ap-7738	2	16	prague	prague	PROPN
ap-7738	2	17	conserved	conserve	VERB
ap-7738	2	18	quantities	quantity	NOUN
ap-7738	2	19	in	in	ADP
ap-7738	2	20	non	non	ADJ
ap-7738	2	21	-	-	ADJ
ap-7738	2	22	hermitian	hermitian	ADJ
ap-7738	2	23	systems	system	NOUN
ap-7738	2	24	via	via	ADP
ap-7738	2	25	vectorization	vectorization	PROPN
ap-7738	2	26	method	method	NOUN
ap-7738	2	27	kaustubh	kaustubh	PROPN
ap-7738	2	28	s.	s.	PROPN
ap-7738	2	29	agarwal	agarwal	PROPN
ap-7738	2	30	,	,	PUNCT
ap-7738	2	31	jacob	jacob	PROPN
ap-7738	2	32	muldoon	muldoon	PROPN
ap-7738	2	33	,	,	PUNCT
ap-7738	2	34	yogesh	yogesh	PROPN
ap-7738	2	35	n.	n.	PROPN
ap-7738	2	36	joglekar∗	joglekar∗	PROPN
ap-7738	2	37	indiana	indiana	PROPN
ap-7738	2	38	university	university	PROPN
ap-7738	2	39	purdue	purdue	PROPN
ap-7738	2	40	university	university	PROPN
ap-7738	2	41	indianapolis	indianapolis	PROPN
ap-7738	2	42	(	(	PUNCT
ap-7738	2	43	iupui	iupui	PROPN
ap-7738	2	44	)	)	PUNCT
ap-7738	2	45	,	,	PUNCT
ap-7738	2	46	indianapolis	indianapolis	PROPN
ap-7738	2	47	,	,	PUNCT
ap-7738	2	48	indiana	indiana	PROPN
ap-7738	2	49	46202	46202	NUM
ap-7738	2	50	u.s.a	u.s.a	PROPN
ap-7738	2	51	.	.	PUNCT
ap-7738	3	1	∗	∗	NOUN
ap-7738	3	2	corresponding	correspond	VERB
ap-7738	3	3	author	author	NOUN
ap-7738	3	4	:	:	PUNCT
ap-7738	3	5	yojoglek@iupui.edu	yojoglek@iupui.edu	PROPN
ap-7738	3	6	abstract	abstract	ADJ
ap-7738	3	7	.	.	PUNCT
ap-7738	4	1	open	open	ADJ
ap-7738	4	2	classical	classical	ADJ
ap-7738	4	3	and	and	CCONJ
ap-7738	4	4	quantum	quantum	NOUN
ap-7738	4	5	systems	system	NOUN
ap-7738	4	6	have	have	AUX
ap-7738	4	7	attracted	attract	VERB
ap-7738	4	8	great	great	ADJ
ap-7738	4	9	interest	interest	NOUN
ap-7738	4	10	in	in	ADP
ap-7738	4	11	the	the	DET
ap-7738	4	12	past	past	ADJ
ap-7738	4	13	two	two	NUM
ap-7738	4	14	decades	decade	NOUN
ap-7738	4	15	.	.	PUNCT
ap-7738	5	1	these	these	PRON
ap-7738	5	2	include	include	VERB
ap-7738	5	3	systems	system	NOUN
ap-7738	5	4	described	describe	VERB
ap-7738	5	5	by	by	ADP
ap-7738	5	6	non	non	ADJ
ap-7738	5	7	-	-	ADJ
ap-7738	5	8	hermitian	hermitian	ADJ
ap-7738	5	9	hamiltonians	hamiltonian	NOUN
ap-7738	5	10	with	with	ADP
ap-7738	5	11	parity	parity	NOUN
ap-7738	5	12	-	-	PUNCT
ap-7738	5	13	time	time	NOUN
ap-7738	5	14	(	(	PUNCT
ap-7738	5	15	pt	pt	NOUN
ap-7738	5	16	)	)	PUNCT
ap-7738	5	17	symmetry	symmetry	NOUN
ap-7738	5	18	that	that	PRON
ap-7738	5	19	are	be	AUX
ap-7738	5	20	best	well	ADV
ap-7738	5	21	understood	understand	VERB
ap-7738	5	22	as	as	ADP
ap-7738	5	23	systems	system	NOUN
ap-7738	5	24	with	with	ADP
ap-7738	5	25	balanced	balanced	ADJ
ap-7738	5	26	,	,	PUNCT
ap-7738	5	27	separated	separate	VERB
ap-7738	5	28	gain	gain	NOUN
ap-7738	5	29	and	and	CCONJ
ap-7738	5	30	loss	loss	NOUN
ap-7738	5	31	.	.	PUNCT
ap-7738	6	1	here	here	ADV
ap-7738	6	2	,	,	PUNCT
ap-7738	6	3	we	we	PRON
ap-7738	6	4	present	present	VERB
ap-7738	6	5	an	an	DET
ap-7738	6	6	alternative	alternative	ADJ
ap-7738	6	7	way	way	NOUN
ap-7738	6	8	to	to	PART
ap-7738	6	9	characterize	characterize	VERB
ap-7738	6	10	and	and	CCONJ
ap-7738	6	11	derive	derive	VERB
ap-7738	6	12	conserved	conserved	ADJ
ap-7738	6	13	quantities	quantity	NOUN
ap-7738	6	14	,	,	PUNCT
ap-7738	6	15	or	or	CCONJ
ap-7738	6	16	intertwining	intertwine	VERB
ap-7738	6	17	operators	operator	NOUN
ap-7738	6	18	,	,	PUNCT
ap-7738	6	19	in	in	ADP
ap-7738	6	20	such	such	ADJ
ap-7738	6	21	open	open	ADJ
ap-7738	6	22	systems	system	NOUN
ap-7738	6	23	.	.	PUNCT
ap-7738	7	1	as	as	ADP
ap-7738	7	2	a	a	DET
ap-7738	7	3	consequence	consequence	NOUN
ap-7738	7	4	,	,	PUNCT
ap-7738	7	5	we	we	PRON
ap-7738	7	6	also	also	ADV
ap-7738	7	7	obtain	obtain	VERB
ap-7738	7	8	non	non	ADJ
ap-7738	7	9	-	-	ADJ
ap-7738	7	10	hermitian	hermitian	ADJ
ap-7738	7	11	or	or	CCONJ
ap-7738	7	12	hermitian	hermitian	ADJ
ap-7738	7	13	operators	operator	NOUN
ap-7738	7	14	whose	whose	DET
ap-7738	7	15	expectations	expectation	NOUN
ap-7738	7	16	values	value	NOUN
ap-7738	7	17	show	show	VERB
ap-7738	7	18	single	single	ADJ
ap-7738	7	19	exponential	exponential	ADJ
ap-7738	7	20	time	time	NOUN
ap-7738	7	21	dependence	dependence	NOUN
ap-7738	7	22	.	.	PUNCT
ap-7738	8	1	by	by	ADP
ap-7738	8	2	using	use	VERB
ap-7738	8	3	a	a	DET
ap-7738	8	4	simple	simple	ADJ
ap-7738	8	5	example	example	NOUN
ap-7738	8	6	of	of	ADP
ap-7738	8	7	a	a	DET
ap-7738	8	8	pt	pt	NOUN
ap-7738	8	9	-symmetric	-symmetric	ADJ
ap-7738	8	10	dimer	dimer	NOUN
ap-7738	8	11	that	that	PRON
ap-7738	8	12	arises	arise	VERB
ap-7738	8	13	in	in	ADP
ap-7738	8	14	two	two	NUM
ap-7738	8	15	distinct	distinct	ADJ
ap-7738	8	16	physical	physical	ADJ
ap-7738	8	17	realizations	realization	NOUN
ap-7738	8	18	,	,	PUNCT
ap-7738	8	19	we	we	PRON
ap-7738	8	20	demonstrate	demonstrate	VERB
ap-7738	8	21	our	our	PRON
ap-7738	8	22	procedure	procedure	NOUN
ap-7738	8	23	for	for	ADP
ap-7738	8	24	static	static	ADJ
ap-7738	8	25	hamiltonians	hamiltonian	NOUN
ap-7738	8	26	and	and	CCONJ
ap-7738	8	27	generalize	generalize	VERB
ap-7738	8	28	it	it	PRON
ap-7738	8	29	to	to	ADP
ap-7738	8	30	time	time	NOUN
ap-7738	8	31	-	-	PUNCT
ap-7738	8	32	periodic	periodic	ADJ
ap-7738	8	33	(	(	PUNCT
ap-7738	8	34	floquet	floquet	NOUN
ap-7738	8	35	)	)	PUNCT
ap-7738	8	36	cases	case	NOUN
ap-7738	8	37	where	where	SCONJ
ap-7738	8	38	intertwining	intertwine	VERB
ap-7738	8	39	operators	operator	NOUN
ap-7738	8	40	are	be	AUX
ap-7738	8	41	stroboscopically	stroboscopically	ADV
ap-7738	8	42	conserved	conserve	VERB
ap-7738	8	43	.	.	PUNCT
ap-7738	9	1	inspired	inspire	VERB
ap-7738	9	2	by	by	ADP
ap-7738	9	3	the	the	DET
ap-7738	9	4	lindblad	lindblad	ADJ
ap-7738	9	5	density	density	NOUN
ap-7738	9	6	matrix	matrix	NOUN
ap-7738	9	7	equation	equation	NOUN
ap-7738	9	8	,	,	PUNCT
ap-7738	9	9	our	our	PRON
ap-7738	9	10	approach	approach	NOUN
ap-7738	9	11	provides	provide	VERB
ap-7738	9	12	a	a	DET
ap-7738	9	13	useful	useful	ADJ
ap-7738	9	14	addition	addition	NOUN
ap-7738	9	15	to	to	ADP
ap-7738	9	16	the	the	DET
ap-7738	9	17	well	well	ADV
ap-7738	9	18	-	-	PUNCT
ap-7738	9	19	established	establish	VERB
ap-7738	9	20	methods	method	NOUN
ap-7738	9	21	for	for	ADP
ap-7738	9	22	characterizing	characterize	VERB
ap-7738	9	23	time	time	NOUN
ap-7738	9	24	-	-	PUNCT
ap-7738	9	25	invariants	invariant	NOUN
ap-7738	9	26	in	in	ADP
ap-7738	9	27	non	non	ADJ
ap-7738	9	28	-	-	ADJ
ap-7738	9	29	hermitian	hermitian	ADJ
ap-7738	9	30	systems	system	NOUN
ap-7738	9	31	.	.	PUNCT
ap-7738	10	1	keywords	keyword	NOUN
ap-7738	10	2	:	:	PUNCT
ap-7738	10	3	parity	parity	NOUN
ap-7738	10	4	-	-	PUNCT
ap-7738	10	5	time	time	NOUN
ap-7738	10	6	symmetry	symmetry	NOUN
ap-7738	10	7	,	,	PUNCT
ap-7738	10	8	pseudo	pseudo	NOUN
ap-7738	10	9	-	-	NOUN
ap-7738	10	10	hermiticity	hermiticity	NOUN
ap-7738	10	11	,	,	PUNCT
ap-7738	10	12	conserved	conserved	ADJ
ap-7738	10	13	quantities	quantity	NOUN
ap-7738	10	14	.	.	PUNCT
ap-7738	11	1	1	1	X
ap-7738	11	2	.	.	X
ap-7738	11	3	introduction	introduction	NOUN
ap-7738	11	4	since	since	SCONJ
ap-7738	11	5	the	the	DET
ap-7738	11	6	seminal	seminal	ADJ
ap-7738	11	7	discovery	discovery	NOUN
ap-7738	11	8	of	of	ADP
ap-7738	11	9	bender	bender	NOUN
ap-7738	11	10	and	and	CCONJ
ap-7738	11	11	coworkers	coworker	NOUN
ap-7738	11	12	in	in	ADP
ap-7738	11	13	1998	1998	NUM
ap-7738	11	14	[	[	X
ap-7738	11	15	1	1	NUM
ap-7738	11	16	]	]	PUNCT
ap-7738	11	17	,	,	PUNCT
ap-7738	11	18	non	non	ADJ
ap-7738	11	19	-	-	ADJ
ap-7738	11	20	hermitian	hermitian	ADJ
ap-7738	11	21	hamiltonians	hamiltonian	NOUN
ap-7738	11	22	h	h	NOUN
ap-7738	11	23	with	with	ADP
ap-7738	11	24	real	real	ADJ
ap-7738	11	25	spectra	spectra	NOUN
ap-7738	11	26	have	have	AUX
ap-7738	11	27	become	become	VERB
ap-7738	11	28	a	a	DET
ap-7738	11	29	subject	subject	NOUN
ap-7738	11	30	of	of	ADP
ap-7738	11	31	intense	intense	ADJ
ap-7738	11	32	scrutiny	scrutiny	NOUN
ap-7738	11	33	[	[	X
ap-7738	11	34	2	2	NUM
ap-7738	11	35	–	–	PUNCT
ap-7738	11	36	4	4	NUM
ap-7738	11	37	]	]	PUNCT
ap-7738	11	38	.	.	PUNCT
ap-7738	12	1	the	the	DET
ap-7738	12	2	initial	initial	ADJ
ap-7738	12	3	work	work	NOUN
ap-7738	12	4	on	on	ADP
ap-7738	12	5	this	this	DET
ap-7738	12	6	subject	subject	NOUN
ap-7738	12	7	focused	focus	VERB
ap-7738	12	8	on	on	ADP
ap-7738	12	9	taking	take	VERB
ap-7738	12	10	advantage	advantage	NOUN
ap-7738	12	11	of	of	ADP
ap-7738	12	12	the	the	DET
ap-7738	12	13	reality	reality	NOUN
ap-7738	12	14	of	of	ADP
ap-7738	12	15	the	the	DET
ap-7738	12	16	spectrum	spectrum	NOUN
ap-7738	12	17	to	to	PART
ap-7738	12	18	define	define	VERB
ap-7738	12	19	a	a	DET
ap-7738	12	20	complex	complex	ADJ
ap-7738	12	21	extension	extension	NOUN
ap-7738	12	22	of	of	ADP
ap-7738	12	23	quantum	quantum	ADJ
ap-7738	12	24	theory	theory	NOUN
ap-7738	12	25	[	[	X
ap-7738	12	26	5	5	NUM
ap-7738	12	27	]	]	PUNCT
ap-7738	12	28	where	where	SCONJ
ap-7738	12	29	the	the	DET
ap-7738	12	30	traditional	traditional	ADJ
ap-7738	12	31	dirac	dirac	NOUN
ap-7738	12	32	inner	inner	ADJ
ap-7738	12	33	product	product	NOUN
ap-7738	12	34	is	be	AUX
ap-7738	12	35	replaced	replace	VERB
ap-7738	12	36	by	by	ADP
ap-7738	12	37	a	a	DET
ap-7738	12	38	hamiltonian	hamiltonian	NOUN
ap-7738	12	39	-	-	PUNCT
ap-7738	12	40	dependent	dependent	ADJ
ap-7738	12	41	(	(	PUNCT
ap-7738	12	42	cpt	cpt	NOUN
ap-7738	12	43	)	)	PUNCT
ap-7738	12	44	inner	inner	ADJ
ap-7738	12	45	product	product	NOUN
ap-7738	12	46	.	.	PUNCT
ap-7738	13	1	soon	soon	ADV
ap-7738	13	2	it	it	PRON
ap-7738	13	3	became	become	VERB
ap-7738	13	4	clear	clear	ADJ
ap-7738	13	5	that	that	SCONJ
ap-7738	13	6	this	this	DET
ap-7738	13	7	process	process	NOUN
ap-7738	13	8	can	can	AUX
ap-7738	13	9	be	be	AUX
ap-7738	13	10	thought	think	VERB
ap-7738	13	11	of	of	ADP
ap-7738	13	12	as	as	ADP
ap-7738	13	13	identifying	identify	VERB
ap-7738	13	14	positive	positive	ADJ
ap-7738	13	15	definite	definite	ADJ
ap-7738	13	16	operators	operator	NOUN
ap-7738	13	17	η̂	η̂	NUM
ap-7738	13	18	≥	≥	NOUN
ap-7738	13	19	0	0	NUM
ap-7738	13	20	that	that	PRON
ap-7738	13	21	intertwine	intertwine	VERB
ap-7738	13	22	with	with	ADP
ap-7738	13	23	the	the	DET
ap-7738	13	24	hamiltonian	hamiltonian	NOUN
ap-7738	14	1	[	[	X
ap-7738	14	2	6–8	6–8	X
ap-7738	14	3	]	]	X
ap-7738	14	4	,	,	PUNCT
ap-7738	14	5	i.e.	i.e.	X
ap-7738	14	6	η̂h	η̂h	ADV
ap-7738	14	7	=	=	SYM
ap-7738	14	8	h†η̂	h†η̂	NOUN
ap-7738	14	9	,	,	PUNCT
ap-7738	14	10	and	and	CCONJ
ap-7738	14	11	that	that	SCONJ
ap-7738	14	12	a	a	DET
ap-7738	14	13	non	non	ADJ
ap-7738	14	14	-	-	ADJ
ap-7738	14	15	unique	unique	ADJ
ap-7738	14	16	complex	complex	ADJ
ap-7738	14	17	extension	extension	NOUN
ap-7738	14	18	of	of	ADP
ap-7738	14	19	standard	standard	ADJ
ap-7738	14	20	quantum	quantum	NOUN
ap-7738	14	21	theory	theory	NOUN
ap-7738	14	22	is	be	AUX
ap-7738	14	23	generated	generate	VERB
ap-7738	14	24	by	by	ADP
ap-7738	14	25	each	each	DET
ap-7738	14	26	positive	positive	ADJ
ap-7738	14	27	definite	definite	ADJ
ap-7738	14	28	η̂	η̂	PUNCT
ap-7738	14	29	[	[	X
ap-7738	14	30	9	9	NUM
ap-7738	14	31	,	,	PUNCT
ap-7738	14	32	10	10	NUM
ap-7738	14	33	]	]	PUNCT
ap-7738	14	34	.	.	PUNCT
ap-7738	15	1	these	these	DET
ap-7738	15	2	mathematical	mathematical	ADJ
ap-7738	15	3	developments	development	NOUN
ap-7738	15	4	were	be	AUX
ap-7738	15	5	instrumental	instrumental	ADJ
ap-7738	15	6	to	to	ADP
ap-7738	15	7	elucidating	elucidate	VERB
ap-7738	15	8	the	the	DET
ap-7738	15	9	role	role	NOUN
ap-7738	15	10	played	play	VERB
ap-7738	15	11	by	by	ADP
ap-7738	15	12	non	non	ADJ
ap-7738	15	13	-	-	ADJ
ap-7738	15	14	hermitian	hermitian	ADJ
ap-7738	15	15	,	,	PUNCT
ap-7738	15	16	self	self	NOUN
ap-7738	15	17	-	-	PUNCT
ap-7738	15	18	adjoint	adjoint	NOUN
ap-7738	15	19	operators	operator	NOUN
ap-7738	15	20	,	,	PUNCT
ap-7738	15	21	biorthogonal	biorthogonal	ADJ
ap-7738	15	22	bases	basis	NOUN
ap-7738	15	23	,	,	PUNCT
ap-7738	15	24	and	and	CCONJ
ap-7738	15	25	non	non	ADJ
ap-7738	15	26	-	-	ADJ
ap-7738	15	27	unitary	unitary	ADJ
ap-7738	15	28	similarity	similarity	NOUN
ap-7738	15	29	transformations	transformation	NOUN
ap-7738	15	30	that	that	PRON
ap-7738	15	31	change	change	VERB
ap-7738	15	32	an	an	DET
ap-7738	15	33	orthonormal	orthonormal	ADJ
ap-7738	15	34	basis	basis	NOUN
ap-7738	15	35	set	set	VERB
ap-7738	15	36	into	into	ADP
ap-7738	15	37	a	a	DET
ap-7738	15	38	non	non	ADJ
ap-7738	15	39	-	-	NOUN
ap-7738	15	40	orthogonal	orthogonal	ADJ
ap-7738	15	41	,	,	PUNCT
ap-7738	15	42	but	but	CCONJ
ap-7738	15	43	linearly	linearly	ADV
ap-7738	15	44	independent	independent	ADJ
ap-7738	15	45	basis	basis	NOUN
ap-7738	15	46	set	set	VERB
ap-7738	15	47	in	in	ADP
ap-7738	15	48	physically	physically	ADV
ap-7738	15	49	realizable	realizable	ADJ
ap-7738	15	50	classical	classical	ADJ
ap-7738	15	51	and	and	CCONJ
ap-7738	15	52	quantum	quantum	NOUN
ap-7738	15	53	models	model	NOUN
ap-7738	15	54	[	[	X
ap-7738	15	55	11	11	NUM
ap-7738	15	56	]	]	PUNCT
ap-7738	15	57	.	.	PUNCT
ap-7738	16	1	a	a	DET
ap-7738	16	2	decade	decade	NOUN
ap-7738	16	3	later	later	ADV
ap-7738	16	4	,	,	PUNCT
ap-7738	16	5	this	this	DET
ap-7738	16	6	mathematical	mathematical	ADJ
ap-7738	16	7	approach	approach	NOUN
ap-7738	16	8	gave	give	VERB
ap-7738	16	9	way	way	NOUN
ap-7738	16	10	to	to	ADP
ap-7738	16	11	experiments	experiment	NOUN
ap-7738	16	12	with	with	ADP
ap-7738	16	13	the	the	DET
ap-7738	16	14	recognition	recognition	NOUN
ap-7738	16	15	that	that	SCONJ
ap-7738	16	16	nonhermitian	nonhermitian	ADJ
ap-7738	16	17	hamiltonians	hamiltonian	NOUN
ap-7738	16	18	that	that	PRON
ap-7738	16	19	are	be	AUX
ap-7738	16	20	invariant	invariant	ADJ
ap-7738	16	21	under	under	ADP
ap-7738	16	22	combined	combine	VERB
ap-7738	16	23	operations	operation	NOUN
ap-7738	16	24	of	of	ADP
ap-7738	16	25	parity	parity	NOUN
ap-7738	16	26	and	and	CCONJ
ap-7738	16	27	time	time	NOUN
ap-7738	16	28	-	-	PUNCT
ap-7738	16	29	reversal	reversal	NOUN
ap-7738	16	30	(	(	PUNCT
ap-7738	16	31	pt	pt	INTJ
ap-7738	16	32	)	)	PUNCT
ap-7738	16	33	represent	represent	VERB
ap-7738	16	34	open	open	ADJ
ap-7738	16	35	systems	system	NOUN
ap-7738	16	36	with	with	ADP
ap-7738	16	37	balanced	balanced	ADJ
ap-7738	16	38	gain	gain	NOUN
ap-7738	16	39	and	and	CCONJ
ap-7738	16	40	loss	loss	NOUN
ap-7738	16	41	[	[	X
ap-7738	16	42	12	12	NUM
ap-7738	16	43	–	–	PUNCT
ap-7738	16	44	15	15	NUM
ap-7738	16	45	]	]	PUNCT
ap-7738	16	46	.	.	PUNCT
ap-7738	17	1	the	the	DET
ap-7738	17	2	spectrum	spectrum	NOUN
ap-7738	17	3	of	of	ADP
ap-7738	17	4	a	a	DET
ap-7738	17	5	pt	pt	NOUN
ap-7738	17	6	-symmetric	-symmetric	ADJ
ap-7738	17	7	hamiltonian	hamiltonian	ADJ
ap-7738	17	8	hpt(γ	hpt(γ	PROPN
ap-7738	17	9	)	)	PUNCT
ap-7738	17	10	is	be	AUX
ap-7738	17	11	purely	purely	ADV
ap-7738	17	12	real	real	ADJ
ap-7738	17	13	when	when	SCONJ
ap-7738	17	14	the	the	DET
ap-7738	17	15	non	non	ADJ
ap-7738	17	16	-	-	ADJ
ap-7738	17	17	hermiticity	hermiticity	ADJ
ap-7738	17	18	γ	γ	NOUN
ap-7738	17	19	is	be	AUX
ap-7738	17	20	small	small	ADJ
ap-7738	17	21	.	.	PUNCT
ap-7738	18	1	with	with	ADP
ap-7738	18	2	increasing	increase	VERB
ap-7738	18	3	γ	γ	NOUN
ap-7738	18	4	,	,	PUNCT
ap-7738	18	5	a	a	DET
ap-7738	18	6	level	level	NOUN
ap-7738	18	7	attraction	attraction	NOUN
ap-7738	18	8	and	and	CCONJ
ap-7738	18	9	resulting	result	VERB
ap-7738	18	10	degeneracy	degeneracy	NOUN
ap-7738	18	11	turns	turn	VERB
ap-7738	18	12	the	the	DET
ap-7738	18	13	spectrum	spectrum	NOUN
ap-7738	18	14	into	into	ADP
ap-7738	18	15	complexconjugate	complexconjugate	ADJ
ap-7738	18	16	pairs	pair	NOUN
ap-7738	18	17	when	when	SCONJ
ap-7738	18	18	the	the	DET
ap-7738	18	19	non	non	ADJ
ap-7738	18	20	-	-	ADJ
ap-7738	18	21	hermiticity	hermiticity	NOUN
ap-7738	18	22	exceeds	exceed	VERB
ap-7738	18	23	a	a	DET
ap-7738	18	24	nonzero	nonzero	NOUN
ap-7738	18	25	threshold	threshold	NOUN
ap-7738	18	26	γpt	γpt	NOUN
ap-7738	19	1	[	[	X
ap-7738	19	2	16	16	NUM
ap-7738	19	3	]	]	PUNCT
ap-7738	19	4	.	.	PUNCT
ap-7738	20	1	this	this	DET
ap-7738	20	2	transition	transition	NOUN
ap-7738	20	3	is	be	AUX
ap-7738	20	4	called	call	VERB
ap-7738	20	5	pt	pt	PROPN
ap-7738	20	6	-symmetry	-symmetry	NOUN
ap-7738	20	7	breaking	breaking	NOUN
ap-7738	20	8	transition	transition	NOUN
ap-7738	20	9	,	,	PUNCT
ap-7738	20	10	and	and	CCONJ
ap-7738	20	11	at	at	ADP
ap-7738	20	12	the	the	DET
ap-7738	20	13	threshold	threshold	NOUN
ap-7738	20	14	γpt	γpt	INTJ
ap-7738	20	15	the	the	DET
ap-7738	20	16	algebraic	algebraic	ADJ
ap-7738	20	17	multiplicity	multiplicity	NOUN
ap-7738	20	18	of	of	ADP
ap-7738	20	19	the	the	DET
ap-7738	20	20	degenerate	degenerate	ADJ
ap-7738	20	21	eigenvalue	eigenvalue	NOUN
ap-7738	20	22	is	be	AUX
ap-7738	20	23	larger	large	ADJ
ap-7738	20	24	than	than	ADP
ap-7738	20	25	the	the	DET
ap-7738	20	26	geometric	geometric	ADJ
ap-7738	20	27	multiplicity	multiplicity	NOUN
ap-7738	20	28	,	,	PUNCT
ap-7738	20	29	i.e.	i.e.	X
ap-7738	20	30	it	it	PRON
ap-7738	20	31	is	be	AUX
ap-7738	20	32	an	an	DET
ap-7738	20	33	exceptional	exceptional	ADJ
ap-7738	20	34	point	point	NOUN
ap-7738	20	35	(	(	PUNCT
ap-7738	20	36	ep	ep	PROPN
ap-7738	20	37	)	)	PUNCT
ap-7738	21	1	[	[	X
ap-7738	21	2	17	17	NUM
ap-7738	21	3	]	]	PUNCT
ap-7738	21	4	.	.	PUNCT
ap-7738	22	1	fueled	fuel	VERB
ap-7738	22	2	by	by	ADP
ap-7738	22	3	this	this	DET
ap-7738	22	4	physical	physical	ADJ
ap-7738	22	5	insight	insight	NOUN
ap-7738	22	6	,	,	PUNCT
ap-7738	22	7	the	the	DET
ap-7738	22	8	past	past	ADJ
ap-7738	22	9	decade	decade	NOUN
ap-7738	22	10	has	have	AUX
ap-7738	22	11	seen	see	VERB
ap-7738	22	12	an	an	DET
ap-7738	22	13	explosion	explosion	NOUN
ap-7738	22	14	of	of	ADP
ap-7738	22	15	experimental	experimental	ADJ
ap-7738	22	16	platforms	platform	NOUN
ap-7738	22	17	,	,	PUNCT
ap-7738	22	18	usually	usually	ADV
ap-7738	22	19	in	in	ADP
ap-7738	22	20	classical	classical	ADJ
ap-7738	22	21	wave	wave	NOUN
ap-7738	22	22	systems	system	NOUN
ap-7738	22	23	,	,	PUNCT
ap-7738	22	24	where	where	SCONJ
ap-7738	22	25	effective	effective	ADJ
ap-7738	22	26	pt	pt	NOUN
ap-7738	22	27	symmetric	symmetric	ADJ
ap-7738	22	28	hamiltonians	hamiltonian	NOUN
ap-7738	22	29	with	with	ADP
ap-7738	22	30	balanced	balanced	ADJ
ap-7738	22	31	gain	gain	NOUN
ap-7738	22	32	and	and	CCONJ
ap-7738	22	33	loss	loss	NOUN
ap-7738	22	34	have	have	AUX
ap-7738	22	35	been	be	AUX
ap-7738	22	36	realized	realize	VERB
ap-7738	22	37	.	.	PUNCT
ap-7738	23	1	they	they	PRON
ap-7738	23	2	include	include	VERB
ap-7738	23	3	evanescently	evanescently	ADV
ap-7738	23	4	coupled	couple	VERB
ap-7738	23	5	waveguides	waveguide	NOUN
ap-7738	23	6	[	[	PUNCT
ap-7738	23	7	18	18	NUM
ap-7738	23	8	]	]	PUNCT
ap-7738	23	9	,	,	PUNCT
ap-7738	23	10	fiber	fiber	NOUN
ap-7738	23	11	loops	loop	NOUN
ap-7738	23	12	[	[	X
ap-7738	23	13	19	19	NUM
ap-7738	23	14	]	]	PUNCT
ap-7738	23	15	,	,	PUNCT
ap-7738	23	16	microring	microre	VERB
ap-7738	23	17	resonators	resonator	NOUN
ap-7738	23	18	[	[	X
ap-7738	23	19	20	20	NUM
ap-7738	23	20	,	,	PUNCT
ap-7738	23	21	21	21	NUM
ap-7738	23	22	]	]	PUNCT
ap-7738	23	23	,	,	PUNCT
ap-7738	23	24	optical	optical	ADJ
ap-7738	23	25	resonators	resonator	NOUN
ap-7738	23	26	[	[	X
ap-7738	23	27	22	22	NUM
ap-7738	23	28	]	]	PUNCT
ap-7738	23	29	,	,	PUNCT
ap-7738	23	30	electrical	electrical	ADJ
ap-7738	23	31	circuits	circuit	NOUN
ap-7738	23	32	[	[	X
ap-7738	23	33	23–25	23–25	NUM
ap-7738	23	34	]	]	PUNCT
ap-7738	23	35	,	,	PUNCT
ap-7738	23	36	and	and	CCONJ
ap-7738	23	37	mechanical	mechanical	ADJ
ap-7738	23	38	oscillators	oscillator	NOUN
ap-7738	23	39	[	[	X
ap-7738	23	40	26	26	NUM
ap-7738	23	41	]	]	PUNCT
ap-7738	23	42	.	.	PUNCT
ap-7738	24	1	the	the	DET
ap-7738	24	2	key	key	ADJ
ap-7738	24	3	characteristics	characteristic	NOUN
ap-7738	24	4	of	of	ADP
ap-7738	24	5	this	this	DET
ap-7738	24	6	transition	transition	NOUN
ap-7738	24	7	,	,	PUNCT
ap-7738	24	8	driven	drive	VERB
ap-7738	24	9	by	by	ADP
ap-7738	24	10	the	the	DET
ap-7738	24	11	nonorthogonality	nonorthogonality	NOUN
ap-7738	24	12	of	of	ADP
ap-7738	24	13	eigenstates	eigenstate	NOUN
ap-7738	24	14	,	,	PUNCT
ap-7738	24	15	are	be	AUX
ap-7738	24	16	also	also	ADV
ap-7738	24	17	seen	see	VERB
ap-7738	24	18	in	in	ADP
ap-7738	24	19	systems	system	NOUN
ap-7738	24	20	with	with	ADP
ap-7738	24	21	mode	mode	NOUN
ap-7738	24	22	-	-	PUNCT
ap-7738	24	23	selective	selective	ADJ
ap-7738	24	24	losses	loss	NOUN
ap-7738	24	25	[	[	X
ap-7738	24	26	27–29	27–29	NUM
ap-7738	24	27	]	]	PUNCT
ap-7738	24	28	.	.	PUNCT
ap-7738	25	1	in	in	ADP
ap-7738	25	2	the	the	DET
ap-7738	25	3	past	past	ADJ
ap-7738	25	4	two	two	NUM
ap-7738	25	5	years	year	NOUN
ap-7738	25	6	,	,	PUNCT
ap-7738	25	7	these	these	DET
ap-7738	25	8	ideas	idea	NOUN
ap-7738	25	9	have	have	AUX
ap-7738	25	10	been	be	AUX
ap-7738	25	11	further	far	ADV
ap-7738	25	12	extended	extend	VERB
ap-7738	25	13	to	to	PART
ap-7738	25	14	minimal	minimal	ADJ
ap-7738	25	15	quantum	quantum	NOUN
ap-7738	25	16	systems	system	NOUN
ap-7738	25	17	,	,	PUNCT
ap-7738	25	18	thereby	thereby	ADV
ap-7738	25	19	leading	lead	VERB
ap-7738	25	20	to	to	ADP
ap-7738	25	21	observation	observation	NOUN
ap-7738	25	22	of	of	ADP
ap-7738	25	23	pt	pt	NOUN
ap-7738	25	24	-symmetric	-symmetric	ADJ
ap-7738	25	25	breaking	breaking	NOUN
ap-7738	25	26	and	and	CCONJ
ap-7738	25	27	attendant	attendant	ADJ
ap-7738	25	28	phenomena	phenomenon	NOUN
ap-7738	25	29	in	in	ADP
ap-7738	25	30	a	a	DET
ap-7738	25	31	single	single	ADJ
ap-7738	25	32	spin	spin	NOUN
ap-7738	26	1	[	[	X
ap-7738	26	2	30	30	NUM
ap-7738	26	3	]	]	PUNCT
ap-7738	26	4	,	,	PUNCT
ap-7738	26	5	a	a	DET
ap-7738	26	6	single	single	ADJ
ap-7738	26	7	superconducting	superconducte	VERB
ap-7738	26	8	transmon	transmon	NOUN
ap-7738	26	9	[	[	X
ap-7738	26	10	31	31	NUM
ap-7738	26	11	]	]	PUNCT
ap-7738	26	12	,	,	PUNCT
ap-7738	26	13	ultracold	ultracold	NOUN
ap-7738	26	14	atoms	atom	NOUN
ap-7738	26	15	[	[	X
ap-7738	26	16	32	32	NUM
ap-7738	26	17	]	]	PUNCT
ap-7738	26	18	,	,	PUNCT
ap-7738	26	19	and	and	CCONJ
ap-7738	26	20	quantum	quantum	NOUN
ap-7738	26	21	photonics	photonic	NOUN
ap-7738	26	22	[	[	X
ap-7738	26	23	33	33	NUM
ap-7738	26	24	]	]	PUNCT
ap-7738	26	25	.	.	PUNCT
ap-7738	27	1	we	we	PRON
ap-7738	27	2	remind	remind	VERB
ap-7738	27	3	the	the	DET
ap-7738	27	4	readers	reader	NOUN
ap-7738	27	5	the	the	DET
ap-7738	27	6	effective	effective	ADJ
ap-7738	27	7	hamiltonian	hamiltonian	ADJ
ap-7738	27	8	approach	approach	NOUN
ap-7738	27	9	requires	require	VERB
ap-7738	27	10	dirac	dirac	VERB
ap-7738	27	11	inner	inner	ADJ
ap-7738	27	12	product	product	NOUN
ap-7738	27	13	,	,	PUNCT
ap-7738	27	14	and	and	CCONJ
ap-7738	27	15	is	be	AUX
ap-7738	27	16	valid	valid	ADJ
ap-7738	27	17	in	in	ADP
ap-7738	27	18	both	both	PRON
ap-7738	27	19	pt	pt	X
ap-7738	27	20	-symmetric	-symmetric	NOUN
ap-7738	27	21	and	and	CCONJ
ap-7738	27	22	pt	pt	NOUN
ap-7738	27	23	-broken	-broken	ADJ
ap-7738	27	24	regions	region	NOUN
ap-7738	27	25	.	.	PUNCT
ap-7738	28	1	apropos	apropo	NOUN
ap-7738	28	2	,	,	PUNCT
ap-7738	28	3	the	the	DET
ap-7738	28	4	non	non	ADJ
ap-7738	28	5	-	-	ADJ
ap-7738	28	6	unitary	unitary	ADJ
ap-7738	28	7	time	time	NOUN
ap-7738	28	8	evolution	evolution	NOUN
ap-7738	28	9	generated	generate	VERB
ap-7738	28	10	by	by	ADP
ap-7738	28	11	the	the	DET
ap-7738	28	12	effective	effective	ADJ
ap-7738	28	13	hpt	hpt	NOUN
ap-7738	28	14	signals	signal	NOUN
ap-7738	28	15	the	the	DET
ap-7738	28	16	fact	fact	NOUN
ap-7738	28	17	that	that	SCONJ
ap-7738	28	18	the	the	DET
ap-7738	28	19	system	system	NOUN
ap-7738	28	20	under	under	ADP
ap-7738	28	21	consideration	consideration	NOUN
ap-7738	28	22	is	be	AUX
ap-7738	28	23	open	open	ADJ
ap-7738	28	24	.	.	PUNCT
ap-7738	29	1	in	in	ADP
ap-7738	29	2	this	this	DET
ap-7738	29	3	context	context	NOUN
ap-7738	29	4	,	,	PUNCT
ap-7738	29	5	every	every	DET
ap-7738	29	6	intertwining	intertwine	VERB
ap-7738	29	7	operator	operator	NOUN
ap-7738	29	8	η̂	η̂	NUM
ap-7738	29	9	–	–	PUNCT
ap-7738	29	10	positive	positive	ADJ
ap-7738	29	11	definite	definite	ADJ
ap-7738	29	12	or	or	CCONJ
ap-7738	29	13	not	not	PART
ap-7738	29	14	–	–	PUNCT
ap-7738	29	15	represents	represent	VERB
ap-7738	29	16	a	a	DET
ap-7738	29	17	time	time	NOUN
ap-7738	29	18	-	-	PUNCT
ap-7738	29	19	invariant	invariant	ADJ
ap-7738	29	20	of	of	ADP
ap-7738	29	21	the	the	DET
ap-7738	29	22	system	system	NOUN
ap-7738	29	23	.	.	PUNCT
ap-7738	30	1	in	in	ADP
ap-7738	30	2	other	other	ADJ
ap-7738	30	3	words	word	NOUN
ap-7738	30	4	,	,	PUNCT
ap-7738	30	5	although	although	SCONJ
ap-7738	30	6	the	the	DET
ap-7738	30	7	state	state	NOUN
ap-7738	30	8	norm	norm	NOUN
ap-7738	30	9	⟨ψ(t)|ψ(t)⟩	⟨ψ(t)|ψ(t)⟩	PROPN
ap-7738	30	10	or	or	CCONJ
ap-7738	30	11	the	the	DET
ap-7738	30	12	energy	energy	NOUN
ap-7738	30	13	⟨ψ(t)|hpt|ψ(t)⟩	⟨ψ(t)|hpt|ψ(t)⟩	NOUN
ap-7738	30	14	of	of	ADP
ap-7738	30	15	a	a	DET
ap-7738	30	16	state	state	NOUN
ap-7738	30	17	|ψ(t)⟩	|ψ(t)⟩	NOUN
ap-7738	30	18	=	=	SYM
ap-7738	30	19	exp(−ihptt)|ψ(0)⟩	exp(−ihptt)|ψ(0)⟩	PROPN
ap-7738	30	20	of	of	ADP
ap-7738	30	21	a	a	DET
ap-7738	30	22	pt	pt	NOUN
ap-7738	30	23	-symmetric	-symmetric	ADJ
ap-7738	30	24	system	system	NOUN
ap-7738	30	25	are	be	AUX
ap-7738	30	26	not	not	PART
ap-7738	30	27	conserved	conserve	VERB
ap-7738	30	28	[	[	PUNCT
ap-7738	30	29	8	8	NUM
ap-7738	30	30	]	]	PUNCT
ap-7738	30	31	,	,	PUNCT
ap-7738	30	32	the	the	DET
ap-7738	30	33	expectation	expectation	NOUN
ap-7738	30	34	values	value	VERB
ap-7738	30	35	⟨ψ(t)|η̂|ψ(t)⟩	⟨ψ(t)|η̂|ψ(t)⟩	NOUN
ap-7738	30	36	remain	remain	VERB
ap-7738	30	37	constant	constant	ADJ
ap-7738	30	38	with	with	ADP
ap-7738	30	39	time	time	NOUN
ap-7738	30	40	.	.	PUNCT
ap-7738	31	1	for	for	ADP
ap-7738	31	2	a	a	DET
ap-7738	31	3	system	system	NOUN
ap-7738	31	4	with	with	ADP
ap-7738	31	5	n	n	ADP
ap-7738	31	6	degrees	degree	NOUN
ap-7738	31	7	of	of	ADP
ap-7738	31	8	freedom	freedom	NOUN
ap-7738	31	9	,	,	PUNCT
ap-7738	31	10	a	a	DET
ap-7738	31	11	complete	complete	ADJ
ap-7738	31	12	characterization	characterization	NOUN
ap-7738	31	13	of	of	ADP
ap-7738	31	14	intertwining	intertwine	VERB
ap-7738	31	15	operators	operator	NOUN
ap-7738	31	16	for	for	ADP
ap-7738	31	17	a	a	DET
ap-7738	31	18	given	give	VERB
ap-7738	31	19	system	system	NOUN
ap-7738	31	20	is	be	AUX
ap-7738	31	21	carried	carry	VERB
ap-7738	31	22	out	out	ADP
ap-7738	31	23	by	by	ADP
ap-7738	31	24	solving	solve	VERB
ap-7738	31	25	the	the	DET
ap-7738	31	26	set	set	NOUN
ap-7738	31	27	of	of	ADP
ap-7738	31	28	n2	n2	ADJ
ap-7738	31	29	simultaneous	simultaneous	ADJ
ap-7738	31	30	,	,	PUNCT
ap-7738	31	31	linear	linear	ADJ
ap-7738	31	32	equations	equation	NOUN
ap-7738	31	33	,	,	PUNCT
ap-7738	31	34	i.e.	i.e.	X
ap-7738	31	35	η̂hpt	η̂hpt	ADV
ap-7738	31	36	=	=	SYM
ap-7738	31	37	h†	h†	ADJ
ap-7738	31	38	ptη̂.	ptη̂.	NOUN
ap-7738	31	39	(	(	PUNCT
ap-7738	31	40	1	1	NUM
ap-7738	31	41	)	)	SYM
ap-7738	31	42	1	1	NUM
ap-7738	31	43	https://doi.org/10.14311/ap.2022.62.0001	https://doi.org/10.14311/ap.2022.62.0001	PROPN
ap-7738	31	44	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7738	31	45	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7738	31	46	k.	k.	PROPN
ap-7738	31	47	s.	s.	PROPN
ap-7738	31	48	agarwal	agarwal	PROPN
ap-7738	31	49	,	,	PUNCT
ap-7738	31	50	j.	j.	PROPN
ap-7738	31	51	muldoon	muldoon	PROPN
ap-7738	31	52	,	,	PUNCT
ap-7738	31	53	y.	y.	PROPN
ap-7738	31	54	n.	n.	PROPN
ap-7738	31	55	joglekar	joglekar	PROPN
ap-7738	31	56	acta	acta	PROPN
ap-7738	31	57	polytechnica	polytechnica	PROPN
ap-7738	31	58	in	in	ADP
ap-7738	31	59	the	the	DET
ap-7738	31	60	past	past	NOUN
ap-7738	31	61	,	,	PUNCT
ap-7738	31	62	several	several	ADJ
ap-7738	31	63	different	different	ADJ
ap-7738	31	64	avenues	avenue	NOUN
ap-7738	31	65	have	have	AUX
ap-7738	31	66	been	be	AUX
ap-7738	31	67	used	use	VERB
ap-7738	31	68	to	to	PART
ap-7738	31	69	obtain	obtain	VERB
ap-7738	31	70	these	these	DET
ap-7738	31	71	conserved	conserved	ADJ
ap-7738	31	72	quantities	quantity	NOUN
ap-7738	31	73	.	.	PUNCT
ap-7738	32	1	they	they	PRON
ap-7738	32	2	include	include	VERB
ap-7738	32	3	spectral	spectral	ADJ
ap-7738	32	4	decomposition	decomposition	NOUN
ap-7738	32	5	methods	method	NOUN
ap-7738	32	6	[	[	X
ap-7738	32	7	8	8	NUM
ap-7738	32	8	,	,	PUNCT
ap-7738	32	9	34	34	NUM
ap-7738	32	10	]	]	X
ap-7738	32	11	,	,	PUNCT
ap-7738	32	12	an	an	DET
ap-7738	32	13	explicit	explicit	ADJ
ap-7738	32	14	recursive	recursive	ADJ
ap-7738	32	15	construction	construction	NOUN
ap-7738	32	16	to	to	PART
ap-7738	32	17	generate	generate	VERB
ap-7738	32	18	a	a	DET
ap-7738	32	19	tower	tower	NOUN
ap-7738	32	20	of	of	ADP
ap-7738	32	21	intertwining	intertwine	VERB
ap-7738	32	22	operators	operator	NOUN
ap-7738	32	23	[	[	X
ap-7738	32	24	25	25	NUM
ap-7738	32	25	,	,	PUNCT
ap-7738	32	26	35	35	NUM
ap-7738	32	27	]	]	PUNCT
ap-7738	32	28	,	,	PUNCT
ap-7738	32	29	sum	sum	NOUN
ap-7738	32	30	-	-	PUNCT
ap-7738	32	31	rules	rule	NOUN
ap-7738	32	32	method	method	NOUN
ap-7738	32	33	[	[	X
ap-7738	32	34	36	36	NUM
ap-7738	32	35	]	]	PUNCT
ap-7738	32	36	,	,	PUNCT
ap-7738	32	37	and	and	CCONJ
ap-7738	32	38	the	the	DET
ap-7738	32	39	stokes	stoke	NOUN
ap-7738	32	40	parametrization	parametrization	NOUN
ap-7738	32	41	approach	approach	NOUN
ap-7738	32	42	for	for	ADP
ap-7738	32	43	a	a	DET
ap-7738	32	44	pt	pt	NOUN
ap-7738	32	45	symmetric	symmetric	ADJ
ap-7738	32	46	dimer	dimer	NOUN
ap-7738	33	1	[	[	X
ap-7738	33	2	37	37	NUM
ap-7738	33	3	]	]	PUNCT
ap-7738	33	4	.	.	PUNCT
ap-7738	34	1	here	here	ADV
ap-7738	34	2	,	,	PUNCT
ap-7738	34	3	we	we	PRON
ap-7738	34	4	present	present	VERB
ap-7738	34	5	yet	yet	ADV
ap-7738	34	6	another	another	DET
ap-7738	34	7	approach	approach	NOUN
ap-7738	34	8	to	to	ADP
ap-7738	34	9	the	the	DET
ap-7738	34	10	problem	problem	NOUN
ap-7738	34	11	,	,	PUNCT
ap-7738	34	12	and	and	CCONJ
ap-7738	34	13	illustrate	illustrate	VERB
ap-7738	34	14	it	it	PRON
ap-7738	34	15	with	with	ADP
ap-7738	34	16	two	two	NUM
ap-7738	34	17	simple	simple	ADJ
ap-7738	34	18	examples	example	NOUN
ap-7738	34	19	.	.	PUNCT
ap-7738	35	1	the	the	DET
ap-7738	35	2	plan	plan	NOUN
ap-7738	35	3	of	of	ADP
ap-7738	35	4	the	the	DET
ap-7738	35	5	paper	paper	NOUN
ap-7738	35	6	is	be	AUX
ap-7738	35	7	as	as	SCONJ
ap-7738	35	8	follows	follow	VERB
ap-7738	35	9	.	.	PUNCT
ap-7738	36	1	in	in	ADP
ap-7738	36	2	section	section	NOUN
ap-7738	36	3	2	2	NUM
ap-7738	36	4	,	,	PUNCT
ap-7738	36	5	we	we	PRON
ap-7738	36	6	present	present	VERB
ap-7738	36	7	the	the	DET
ap-7738	36	8	eigenvalue	eigenvalue	NOUN
ap-7738	36	9	-	-	PUNCT
ap-7738	36	10	equation	equation	NOUN
ap-7738	36	11	approach	approach	NOUN
ap-7738	36	12	for	for	ADP
ap-7738	36	13	intertwining	intertwine	VERB
ap-7738	36	14	operators	operator	NOUN
ap-7738	36	15	and	and	CCONJ
ap-7738	36	16	the	the	DET
ap-7738	36	17	details	detail	NOUN
ap-7738	36	18	of	of	ADP
ap-7738	36	19	the	the	DET
ap-7738	36	20	vectorization	vectorization	NOUN
ap-7738	36	21	scheme	scheme	NOUN
ap-7738	36	22	.	.	PUNCT
ap-7738	37	1	this	this	DET
ap-7738	37	2	method	method	NOUN
ap-7738	37	3	is	be	AUX
ap-7738	37	4	valid	valid	ADJ
ap-7738	37	5	for	for	ADP
ap-7738	37	6	any	any	DET
ap-7738	37	7	finite	finite	ADJ
ap-7738	37	8	dimensional	dimensional	ADJ
ap-7738	37	9	pt	pt	NOUN
ap-7738	37	10	-symmetric	-symmetric	ADJ
ap-7738	37	11	hamiltonian	hamiltonian	NOUN
ap-7738	37	12	.	.	PUNCT
ap-7738	38	1	in	in	ADP
ap-7738	38	2	section	section	NOUN
ap-7738	38	3	3	3	NUM
ap-7738	38	4	,	,	PUNCT
ap-7738	38	5	we	we	PRON
ap-7738	38	6	present	present	VERB
ap-7738	38	7	results	result	NOUN
ap-7738	38	8	of	of	ADP
ap-7738	38	9	such	such	ADJ
ap-7738	38	10	analysis	analysis	NOUN
ap-7738	38	11	for	for	ADP
ap-7738	38	12	a	a	DET
ap-7738	38	13	quantum	quantum	ADJ
ap-7738	38	14	pt	pt	NOUN
ap-7738	38	15	-symmetric	-symmetric	NOUN
ap-7738	38	16	dimer	dimer	NOUN
ap-7738	38	17	with	with	ADP
ap-7738	38	18	static	static	ADJ
ap-7738	38	19	or	or	CCONJ
ap-7738	38	20	time	time	NOUN
ap-7738	38	21	-	-	PUNCT
ap-7738	38	22	periodic	periodic	ADJ
ap-7738	38	23	gain	gain	NOUN
ap-7738	38	24	and	and	CCONJ
ap-7738	38	25	loss	loss	NOUN
ap-7738	38	26	.	.	PUNCT
ap-7738	39	1	corresponding	correspond	VERB
ap-7738	39	2	results	result	NOUN
ap-7738	39	3	for	for	ADP
ap-7738	39	4	a	a	DET
ap-7738	39	5	classical	classical	ADJ
ap-7738	39	6	pt	pt	NOUN
ap-7738	39	7	-symmetric	-symmetric	ADJ
ap-7738	39	8	dimer	dimer	NOUN
ap-7738	39	9	are	be	AUX
ap-7738	39	10	presented	present	VERB
ap-7738	39	11	in	in	ADP
ap-7738	39	12	section	section	NOUN
ap-7738	39	13	4	4	NUM
ap-7738	39	14	.	.	PUNCT
ap-7738	40	1	we	we	PRON
ap-7738	40	2	conclude	conclude	VERB
ap-7738	40	3	the	the	DET
ap-7738	40	4	paper	paper	NOUN
ap-7738	40	5	with	with	ADP
ap-7738	40	6	a	a	DET
ap-7738	40	7	brief	brief	ADJ
ap-7738	40	8	discussion	discussion	NOUN
ap-7738	40	9	in	in	ADP
ap-7738	40	10	section	section	NOUN
ap-7738	40	11	5	5	NUM
ap-7738	40	12	.	.	NOUN
ap-7738	40	13	2	2	NUM
ap-7738	40	14	.	.	X
ap-7738	40	15	intertwining	intertwine	VERB
ap-7738	40	16	operators	operator	NOUN
ap-7738	40	17	as	as	ADP
ap-7738	40	18	an	an	DET
ap-7738	40	19	eigenvalue	eigenvalue	NOUN
ap-7738	40	20	problem	problem	NOUN
ap-7738	40	21	for	for	ADP
ap-7738	40	22	a	a	DET
ap-7738	40	23	pt	pt	NOUN
ap-7738	40	24	-symmetric	-symmetric	ADJ
ap-7738	40	25	system	system	NOUN
ap-7738	40	26	undergoing	undergo	VERB
ap-7738	40	27	coherent	coherent	ADJ
ap-7738	40	28	but	but	CCONJ
ap-7738	40	29	non	non	ADJ
ap-7738	40	30	-	-	ADJ
ap-7738	40	31	unitary	unitary	ADJ
ap-7738	40	32	dynamics	dynamic	NOUN
ap-7738	40	33	with	with	ADP
ap-7738	40	34	static	static	ADJ
ap-7738	40	35	hamiltonian	hamiltonian	ADJ
ap-7738	40	36	hpt	hpt	PROPN
ap-7738	40	37	,	,	PUNCT
ap-7738	40	38	the	the	DET
ap-7738	40	39	expectation	expectation	NOUN
ap-7738	40	40	value	value	NOUN
ap-7738	40	41	of	of	ADP
ap-7738	40	42	an	an	DET
ap-7738	40	43	operator	operator	NOUN
ap-7738	40	44	η̂	η̂	PUNCT
ap-7738	40	45	satisfies	satisfy	VERB
ap-7738	40	46	the	the	DET
ap-7738	40	47	following	follow	VERB
ap-7738	40	48	linear	linear	NOUN
ap-7738	40	49	-	-	PUNCT
ap-7738	40	50	in	in	ADP
ap-7738	40	51	-	-	PUNCT
ap-7738	40	52	η̂	η̂	PUNCT
ap-7738	40	53	first	first	ADJ
ap-7738	40	54	-	-	PUNCT
ap-7738	40	55	order	order	NOUN
ap-7738	40	56	differential	differential	ADJ
ap-7738	40	57	equation	equation	NOUN
ap-7738	40	58	∂t⟨ψ(t)|η̂|ψ(t)⟩	∂t⟨ψ(t)|η̂|ψ(t)⟩	NOUN
ap-7738	40	59	=	=	SYM
ap-7738	40	60	−i⟨ψ(t)|η̂hpt	−i⟨ψ(t)|η̂hpt	PROPN
ap-7738	40	61	−h†	−h†	ADJ
ap-7738	40	62	ptη̂|ψ(t)⟩.	ptη̂|ψ(t)⟩.	NOUN
ap-7738	40	63	(	(	PUNCT
ap-7738	40	64	2	2	X
ap-7738	40	65	)	)	PUNCT
ap-7738	40	66	this	this	DET
ap-7738	40	67	equation	equation	NOUN
ap-7738	40	68	is	be	AUX
ap-7738	40	69	reminiscent	reminiscent	ADJ
ap-7738	40	70	of	of	ADP
ap-7738	40	71	the	the	DET
ap-7738	40	72	gorini	gorini	PROPN
ap-7738	41	1	kossakowski	kossakowski	NOUN
ap-7738	41	2	sudarshan	sudarshan	PROPN
ap-7738	41	3	lindblad	lindblad	PROPN
ap-7738	41	4	(	(	PUNCT
ap-7738	41	5	gksl	gksl	ADJ
ap-7738	41	6	)	)	PUNCT
ap-7738	41	7	equation	equation	NOUN
ap-7738	41	8	[	[	X
ap-7738	41	9	38	38	NUM
ap-7738	41	10	,	,	PUNCT
ap-7738	41	11	39	39	NUM
ap-7738	41	12	]	]	PUNCT
ap-7738	41	13	(	(	PUNCT
ap-7738	41	14	henceforth	henceforth	ADV
ap-7738	41	15	referred	refer	VERB
ap-7738	41	16	to	to	ADP
ap-7738	41	17	as	as	ADP
ap-7738	41	18	the	the	DET
ap-7738	41	19	lindblad	lindblad	ADJ
ap-7738	41	20	equation	equation	NOUN
ap-7738	41	21	)	)	PUNCT
ap-7738	41	22	that	that	PRON
ap-7738	41	23	describes	describe	VERB
ap-7738	41	24	the	the	DET
ap-7738	41	25	dynamics	dynamic	NOUN
ap-7738	41	26	of	of	ADP
ap-7738	41	27	the	the	DET
ap-7738	41	28	reduced	reduce	VERB
ap-7738	41	29	density	density	NOUN
ap-7738	41	30	matrix	matrix	NOUN
ap-7738	41	31	of	of	ADP
ap-7738	41	32	a	a	DET
ap-7738	41	33	quantum	quantum	ADJ
ap-7738	41	34	system	system	NOUN
ap-7738	41	35	coupled	couple	VERB
ap-7738	41	36	to	to	ADP
ap-7738	41	37	a	a	DET
ap-7738	41	38	much	much	ADV
ap-7738	41	39	larger	large	ADJ
ap-7738	41	40	environment	environment	NOUN
ap-7738	42	1	[	[	X
ap-7738	42	2	40–42	40–42	PROPN
ap-7738	42	3	]	]	PUNCT
ap-7738	42	4	.	.	PUNCT
ap-7738	43	1	interpreting	interpret	VERB
ap-7738	43	2	η̂	η̂	PUNCT
ap-7738	43	3	as	as	ADP
ap-7738	43	4	an	an	DET
ap-7738	43	5	n	n	DET
ap-7738	43	6	×n	×n	VERB
ap-7738	43	7	matrix	matrix	NOUN
ap-7738	43	8	,	,	PUNCT
ap-7738	43	9	all	all	PRON
ap-7738	43	10	η̂s	η̂s	VERB
ap-7738	43	11	that	that	PRON
ap-7738	43	12	satisfy	satisfy	VERB
ap-7738	43	13	eq	eq	ADP
ap-7738	43	14	.	.	PUNCT
ap-7738	44	1	(	(	PUNCT
ap-7738	44	2	2	2	X
ap-7738	44	3	)	)	PUNCT
ap-7738	44	4	can	can	AUX
ap-7738	44	5	be	be	AUX
ap-7738	44	6	obtained	obtain	VERB
ap-7738	44	7	from	from	ADP
ap-7738	44	8	the	the	DET
ap-7738	44	9	corresponding	corresponding	ADJ
ap-7738	44	10	eigenvalue	eigenvalue	PROPN
ap-7738	44	11	problem	problem	NOUN
ap-7738	44	12	ekη̂k	ekη̂k	X
ap-7738	45	1	=	=	SYM
ap-7738	45	2	−i(η̂khpt	−i(η̂khpt	PROPN
ap-7738	45	3	−h†	−h†	NOUN
ap-7738	45	4	ptη̂k	ptη̂k	PROPN
ap-7738	45	5	)	)	PUNCT
ap-7738	45	6	≡	≡	PROPN
ap-7738	45	7	lη̂k	lη̂k	PROPN
ap-7738	45	8	,	,	PUNCT
ap-7738	45	9	(	(	PUNCT
ap-7738	45	10	3	3	X
ap-7738	45	11	)	)	PUNCT
ap-7738	45	12	for	for	ADP
ap-7738	45	13	1	1	NUM
ap-7738	45	14	≤	≤	NUM
ap-7738	45	15	k	k	PROPN
ap-7738	45	16	≤	≤	PROPN
ap-7738	45	17	n2	n2	NOUN
ap-7738	45	18	.	.	PUNCT
ap-7738	46	1	we	we	PRON
ap-7738	46	2	vectorize	vectorize	VERB
ap-7738	46	3	the	the	DET
ap-7738	46	4	matrix	matrix	NOUN
ap-7738	46	5	η̂	η̂	PUNCT
ap-7738	46	6	into	into	ADP
ap-7738	46	7	an	an	DET
ap-7738	46	8	n2	n2	ADJ
ap-7738	46	9	-	-	PUNCT
ap-7738	46	10	sized	sized	ADJ
ap-7738	46	11	column	column	NOUN
ap-7738	46	12	vector	vector	NOUN
ap-7738	46	13	|ηv⟩	|ηv⟩	PROPN
ap-7738	46	14	by	by	ADP
ap-7738	46	15	stacking	stack	VERB
ap-7738	46	16	its	its	PRON
ap-7738	46	17	columns	column	NOUN
ap-7738	46	18	,	,	PUNCT
ap-7738	46	19	i.e.	i.e.	X
ap-7738	46	20	[	[	X
ap-7738	46	21	η̂]pq	η̂]pq	X
ap-7738	46	22	→	→	PUNCT
ap-7738	46	23	ηv	ηv	ADJ
ap-7738	46	24	p+(q−1)n	p+(q−1)n	NOUN
ap-7738	47	1	[	[	X
ap-7738	47	2	43	43	NUM
ap-7738	47	3	]	]	PUNCT
ap-7738	47	4	.	.	PUNCT
ap-7738	48	1	under	under	ADP
ap-7738	48	2	this	this	DET
ap-7738	48	3	vectorization	vectorization	NOUN
ap-7738	48	4	,	,	PUNCT
ap-7738	48	5	the	the	DET
ap-7738	48	6	hilbert	hilbert	NOUN
ap-7738	48	7	-	-	PUNCT
ap-7738	48	8	schmidt	schmidt	PROPN
ap-7738	48	9	trace	trace	NOUN
ap-7738	48	10	inner	inner	ADJ
ap-7738	48	11	product	product	NOUN
ap-7738	48	12	carries	carry	VERB
ap-7738	48	13	over	over	ADP
ap-7738	48	14	to	to	ADP
ap-7738	48	15	the	the	DET
ap-7738	48	16	dirac	dirac	NOUN
ap-7738	48	17	inner	inner	ADJ
ap-7738	48	18	product	product	NOUN
ap-7738	48	19	,	,	PUNCT
ap-7738	48	20	tr(η̂†	tr(η̂†	PROPN
ap-7738	48	21	1η̂2	1η̂2	NUM
ap-7738	48	22	)	)	PUNCT
ap-7738	48	23	=	=	PUNCT
ap-7738	49	1	⟨ηv	⟨ηv	NUM
ap-7738	49	2	1	1	NUM
ap-7738	49	3	|ηv	|ηv	SYM
ap-7738	49	4	2⟩	2⟩	NUM
ap-7738	49	5	where	where	SCONJ
ap-7738	49	6	⟨ηv	⟨ηv	ADJ
ap-7738	49	7	1	1	NUM
ap-7738	49	8	|	|	ADV
ap-7738	49	9	is	be	AUX
ap-7738	49	10	the	the	DET
ap-7738	49	11	hermitian	hermitian	ADJ
ap-7738	49	12	-	-	PUNCT
ap-7738	49	13	conjugate	conjugate	NOUN
ap-7738	49	14	row	row	NOUN
ap-7738	49	15	vector	vector	NOUN
ap-7738	49	16	obtained	obtain	VERB
ap-7738	49	17	from	from	ADP
ap-7738	49	18	the	the	DET
ap-7738	49	19	column	column	NOUN
ap-7738	49	20	vector	vector	NOUN
ap-7738	49	21	|ηv	|ηv	PUNCT
ap-7738	49	22	1⟩.	1⟩.	PROPN
ap-7738	49	23	using	use	VERB
ap-7738	49	24	the	the	DET
ap-7738	49	25	identity	identity	NOUN
ap-7738	49	26	aη̂b	aη̂b	PROPN
ap-7738	49	27	→	→	PUNCT
ap-7738	49	28	(	(	PUNCT
ap-7738	49	29	bt	bt	PROPN
ap-7738	49	30	⊗a)|ηv⟩	⊗a)|ηv⟩	PROPN
ap-7738	49	31	,	,	PUNCT
ap-7738	49	32	the	the	DET
ap-7738	49	33	eigenvalue	eigenvalue	PROPN
ap-7738	49	34	problem	problem	NOUN
ap-7738	49	35	eq	eq	ADJ
ap-7738	49	36	.	.	PUNCT
ap-7738	50	1	(	(	PUNCT
ap-7738	50	2	3	3	X
ap-7738	50	3	)	)	PUNCT
ap-7738	50	4	becomes	become	VERB
ap-7738	50	5	det(l	det(l	PROPN
ap-7738	50	6	−	−	NOUN
ap-7738	50	7	e1n2	e1n2	NOUN
ap-7738	50	8	)	)	PUNCT
ap-7738	50	9	=	=	SYM
ap-7738	50	10	0	0	NUM
ap-7738	50	11	where	where	SCONJ
ap-7738	50	12	the	the	DET
ap-7738	50	13	n2	n2	ADJ
ap-7738	50	14	×n2	×n2	PROPN
ap-7738	50	15	“	"	PUNCT
ap-7738	50	16	liouvillian	liouvillian	ADJ
ap-7738	50	17	”	"	PUNCT
ap-7738	50	18	matrix	matrix	NOUN
ap-7738	50	19	is	be	AUX
ap-7738	50	20	given	give	VERB
ap-7738	50	21	by	by	ADP
ap-7738	50	22	l	l	NOUN
ap-7738	50	23	=	=	SYM
ap-7738	50	24	−i	−i	PROPN
ap-7738	50	25	[	[	PUNCT
ap-7738	50	26	ht	ht	PROPN
ap-7738	50	27	pt	pt	PROPN
ap-7738	50	28	⊗	⊗	PROPN
ap-7738	50	29	1n	1n	PROPN
ap-7738	50	30	−	−	NOUN
ap-7738	50	31	1n	1n	NUM
ap-7738	50	32	⊗h†	⊗h†	NOUN
ap-7738	50	33	pt	pt	X
ap-7738	50	34	]	]	PUNCT
ap-7738	50	35	,	,	PUNCT
ap-7738	50	36	(	(	PUNCT
ap-7738	50	37	4	4	NUM
ap-7738	50	38	)	)	PUNCT
ap-7738	50	39	and	and	CCONJ
ap-7738	50	40	1	1	NUM
ap-7738	50	41	m	m	NOUN
ap-7738	50	42	is	be	AUX
ap-7738	50	43	the	the	DET
ap-7738	50	44	m	m	PROPN
ap-7738	50	45	×	×	NOUN
ap-7738	50	46	m	m	NOUN
ap-7738	50	47	identity	identity	NOUN
ap-7738	50	48	matrix	matrix	NOUN
ap-7738	50	49	.	.	PUNCT
ap-7738	51	1	thus	thus	ADV
ap-7738	51	2	,	,	PUNCT
ap-7738	51	3	the	the	DET
ap-7738	51	4	intertwining	intertwine	VERB
ap-7738	51	5	operators	operator	NOUN
ap-7738	51	6	are	be	AUX
ap-7738	51	7	distinct	distinct	ADJ
ap-7738	51	8	eigenvectors	eigenvector	NOUN
ap-7738	51	9	|ηv	|ηv	PUNCT
ap-7738	51	10	m⟩	m⟩	X
ap-7738	51	11	with	with	ADP
ap-7738	51	12	zero	zero	NUM
ap-7738	51	13	eigenvalue	eigenvalue	NOUN
ap-7738	51	14	in	in	ADP
ap-7738	51	15	eq	eq	ADP
ap-7738	51	16	.	.	PUNCT
ap-7738	52	1	(	(	PUNCT
ap-7738	52	2	3	3	NUM
ap-7738	52	3	)	)	PUNCT
ap-7738	52	4	.	.	PUNCT
ap-7738	53	1	the	the	DET
ap-7738	53	2	n2	n2	PROPN
ap-7738	53	3	eigenvalues	eigenvalue	NOUN
ap-7738	53	4	of	of	ADP
ap-7738	53	5	the	the	DET
ap-7738	53	6	liouvillian	liouvillian	ADJ
ap-7738	53	7	l	l	NOUN
ap-7738	53	8	are	be	AUX
ap-7738	53	9	simply	simply	ADV
ap-7738	53	10	related	relate	VERB
ap-7738	53	11	to	to	ADP
ap-7738	53	12	n	n	PRON
ap-7738	53	13	eigenvalues	eigenvalue	VERB
ap-7738	53	14	ϵm	ϵm	PROPN
ap-7738	53	15	of	of	ADP
ap-7738	53	16	the	the	DET
ap-7738	53	17	hpt	hpt	NOUN
ap-7738	53	18	as	as	ADP
ap-7738	53	19	epq	epq	NOUN
ap-7738	53	20	=	=	SYM
ap-7738	53	21	−i(ϵp	−i(ϵp	SYM
ap-7738	53	22	−	−	NOUN
ap-7738	53	23	ϵ∗q	ϵ∗q	NUM
ap-7738	53	24	)	)	PUNCT
ap-7738	53	25	.	.	PUNCT
ap-7738	54	1	(	(	PUNCT
ap-7738	54	2	5	5	NUM
ap-7738	54	3	)	)	PUNCT
ap-7738	54	4	since	since	SCONJ
ap-7738	54	5	the	the	DET
ap-7738	54	6	spectrum	spectrum	NOUN
ap-7738	54	7	of	of	ADP
ap-7738	54	8	hpt	hpt	PROPN
ap-7738	54	9	is	be	AUX
ap-7738	54	10	either	either	CCONJ
ap-7738	54	11	real	real	ADJ
ap-7738	54	12	(	(	PUNCT
ap-7738	54	13	ϵp	ϵp	ADP
ap-7738	54	14	=	=	PUNCT
ap-7738	54	15	ϵ∗p	ϵ∗p	X
ap-7738	54	16	)	)	PUNCT
ap-7738	54	17	or	or	CCONJ
ap-7738	54	18	complex	complex	ADJ
ap-7738	54	19	conjugates	conjugate	NOUN
ap-7738	54	20	(	(	PUNCT
ap-7738	54	21	ϵp	ϵp	ADP
ap-7738	54	22	=	=	SYM
ap-7738	54	23	ϵ∗q	ϵ∗q	PROPN
ap-7738	54	24	for	for	ADP
ap-7738	54	25	some	some	DET
ap-7738	54	26	pair	pair	NOUN
ap-7738	54	27	)	)	PUNCT
ap-7738	54	28	,	,	PUNCT
ap-7738	54	29	there	there	PRON
ap-7738	54	30	are	be	VERB
ap-7738	54	31	n	n	PRON
ap-7738	54	32	zero	zero	NUM
ap-7738	54	33	eigenvalues	eigenvalue	NOUN
ap-7738	54	34	of	of	ADP
ap-7738	54	35	l	l	NOUN
ap-7738	54	36	when	when	SCONJ
ap-7738	54	37	hpt	hpt	PROPN
ap-7738	54	38	has	have	VERB
ap-7738	54	39	no	no	DET
ap-7738	54	40	symmetrydriven	symmetrydriven	ADJ
ap-7738	54	41	degeneracies	degeneracy	NOUN
ap-7738	54	42	;	;	PUNCT
ap-7738	54	43	the	the	DET
ap-7738	54	44	number	number	NOUN
ap-7738	54	45	of	of	ADP
ap-7738	54	46	zero	zero	NUM
ap-7738	54	47	eigenvalues	eigenvalue	NOUN
ap-7738	54	48	grows	grow	VERB
ap-7738	54	49	to	to	PART
ap-7738	54	50	n2	n2	VERB
ap-7738	54	51	if	if	SCONJ
ap-7738	54	52	the	the	DET
ap-7738	54	53	hamiltonian	hamiltonian	NOUN
ap-7738	54	54	is	be	AUX
ap-7738	54	55	proportional	proportional	ADJ
ap-7738	54	56	to	to	ADP
ap-7738	54	57	the	the	DET
ap-7738	54	58	identity	identity	NOUN
ap-7738	54	59	matrix	matrix	NOUN
ap-7738	54	60	[	[	X
ap-7738	54	61	34	34	NUM
ap-7738	54	62	]	]	PUNCT
ap-7738	54	63	.	.	PUNCT
ap-7738	55	1	this	this	DET
ap-7738	55	2	analysis	analysis	NOUN
ap-7738	55	3	also	also	ADV
ap-7738	55	4	provides	provide	VERB
ap-7738	55	5	a	a	DET
ap-7738	55	6	transparent	transparent	ADJ
ap-7738	55	7	way	way	NOUN
ap-7738	55	8	to	to	PART
ap-7738	55	9	construct	construct	VERB
ap-7738	55	10	corresponding	corresponding	ADJ
ap-7738	55	11	intertwining	intertwine	VERB
ap-7738	55	12	operators	operator	NOUN
ap-7738	55	13	via	via	ADP
ap-7738	55	14	the	the	DET
ap-7738	55	15	spectral	spectral	ADJ
ap-7738	55	16	decomposition	decomposition	NOUN
ap-7738	55	17	of	of	ADP
ap-7738	55	18	hpt	hpt	NOUN
ap-7738	55	19	[	[	X
ap-7738	55	20	8	8	NUM
ap-7738	55	21	]	]	PUNCT
ap-7738	55	22	.	.	PUNCT
ap-7738	56	1	note	note	VERB
ap-7738	56	2	that	that	SCONJ
ap-7738	56	3	when	when	SCONJ
ap-7738	56	4	e	e	PROPN
ap-7738	56	5	=	=	SYM
ap-7738	56	6	0	0	NUM
ap-7738	56	7	,	,	PUNCT
ap-7738	56	8	due	due	ADP
ap-7738	56	9	to	to	ADP
ap-7738	56	10	the	the	DET
ap-7738	56	11	linearity	linearity	NOUN
ap-7738	56	12	of	of	ADP
ap-7738	56	13	the	the	DET
ap-7738	56	14	intertwining	intertwine	VERB
ap-7738	56	15	relation	relation	NOUN
ap-7738	56	16	,	,	PUNCT
ap-7738	56	17	eq	eq	NOUN
ap-7738	56	18	.	.	PUNCT
ap-7738	57	1	(	(	PUNCT
ap-7738	57	2	1	1	NUM
ap-7738	57	3	)	)	PUNCT
ap-7738	57	4	,	,	PUNCT
ap-7738	57	5	without	without	ADP
ap-7738	57	6	loss	loss	NOUN
ap-7738	57	7	of	of	ADP
ap-7738	57	8	generality	generality	NOUN
ap-7738	57	9	,	,	PUNCT
ap-7738	57	10	we	we	PRON
ap-7738	57	11	can	can	AUX
ap-7738	57	12	choose	choose	VERB
ap-7738	57	13	the	the	DET
ap-7738	57	14	n	n	NOUN
ap-7738	57	15	intertwining	intertwine	VERB
ap-7738	57	16	operators	operator	NOUN
ap-7738	57	17	η̂m	η̂m	PART
ap-7738	57	18	to	to	PART
ap-7738	57	19	be	be	AUX
ap-7738	57	20	hermitian	hermitian	ADJ
ap-7738	57	21	.	.	PUNCT
ap-7738	58	1	so	so	ADV
ap-7738	58	2	what	what	PRON
ap-7738	58	3	is	be	AUX
ap-7738	58	4	the	the	DET
ap-7738	58	5	advantage	advantage	NOUN
ap-7738	58	6	of	of	ADP
ap-7738	58	7	this	this	DET
ap-7738	58	8	approach	approach	NOUN
ap-7738	58	9	?	?	PUNCT
ap-7738	59	1	for	for	ADP
ap-7738	59	2	one	one	NUM
ap-7738	59	3	,	,	PUNCT
ap-7738	59	4	it	it	PRON
ap-7738	59	5	gives	give	VERB
ap-7738	59	6	us	we	PRON
ap-7738	59	7	n(n	n(n	NOUN
ap-7738	59	8	−	−	PROPN
ap-7738	59	9	1	1	X
ap-7738	59	10	)	)	PUNCT
ap-7738	59	11	other	other	ADJ
ap-7738	59	12	,	,	PUNCT
ap-7738	59	13	(	(	PUNCT
ap-7738	59	14	generally	generally	ADV
ap-7738	59	15	non	non	ADJ
ap-7738	59	16	-	-	ADJ
ap-7738	59	17	hermitian	hermitian	ADJ
ap-7738	59	18	)	)	PUNCT
ap-7738	59	19	operators	operator	NOUN
ap-7738	59	20	whose	whose	DET
ap-7738	59	21	expectation	expectation	NOUN
ap-7738	59	22	value	value	NOUN
ap-7738	59	23	in	in	ADP
ap-7738	59	24	any	any	DET
ap-7738	59	25	arbitrary	arbitrary	ADJ
ap-7738	59	26	state	state	NOUN
ap-7738	59	27	evolves	evolve	VERB
ap-7738	59	28	simply	simply	ADV
ap-7738	59	29	exponentially	exponentially	ADV
ap-7738	59	30	in	in	ADP
ap-7738	59	31	time	time	NOUN
ap-7738	59	32	.	.	PUNCT
ap-7738	60	1	when	when	SCONJ
ap-7738	60	2	epq	epq	NOUN
ap-7738	60	3	is	be	AUX
ap-7738	60	4	purely	purely	ADV
ap-7738	60	5	imaginary	imaginary	ADJ
ap-7738	60	6	,	,	PUNCT
ap-7738	60	7	it	it	PRON
ap-7738	60	8	leads	lead	VERB
ap-7738	60	9	to	to	ADP
ap-7738	60	10	the	the	DET
ap-7738	60	11	non	non	ADJ
ap-7738	60	12	-	-	ADJ
ap-7738	60	13	hermitian	hermitian	ADJ
ap-7738	60	14	η̂pq	η̂pq	ADP
ap-7738	60	15	whose	whose	DET
ap-7738	60	16	expectation	expectation	NOUN
ap-7738	60	17	value	value	NOUN
ap-7738	60	18	in	in	ADP
ap-7738	60	19	any	any	DET
ap-7738	60	20	state	state	NOUN
ap-7738	60	21	remains	remain	VERB
ap-7738	60	22	constant	constant	ADJ
ap-7738	60	23	in	in	ADP
ap-7738	60	24	magnitude	magnitude	NOUN
ap-7738	60	25	;	;	PUNCT
ap-7738	60	26	on	on	ADP
ap-7738	60	27	the	the	DET
ap-7738	60	28	other	other	ADJ
ap-7738	60	29	hand	hand	NOUN
ap-7738	60	30	,	,	PUNCT
ap-7738	60	31	if	if	SCONJ
ap-7738	60	32	epq	epq	NOUN
ap-7738	60	33	is	be	AUX
ap-7738	60	34	purely	purely	ADV
ap-7738	60	35	real	real	ADJ
ap-7738	60	36	,	,	PUNCT
ap-7738	60	37	one	one	PRON
ap-7738	60	38	can	can	AUX
ap-7738	60	39	choose	choose	VERB
ap-7738	60	40	a	a	DET
ap-7738	60	41	hermitian	hermitian	ADJ
ap-7738	60	42	η̂pq	η̂pq	ADP
ap-7738	60	43	whose	whose	DET
ap-7738	60	44	expectation	expectation	NOUN
ap-7738	60	45	value	value	NOUN
ap-7738	60	46	exponentially	exponentially	ADV
ap-7738	60	47	grows	grow	VERB
ap-7738	60	48	or	or	CCONJ
ap-7738	60	49	decays	decay	VERB
ap-7738	60	50	with	with	ADP
ap-7738	60	51	time	time	NOUN
ap-7738	60	52	.	.	PUNCT
ap-7738	61	1	this	this	DET
ap-7738	61	2	analysis	analysis	NOUN
ap-7738	61	3	of	of	ADP
ap-7738	61	4	constants	constant	NOUN
ap-7738	61	5	of	of	ADP
ap-7738	61	6	motion	motion	NOUN
ap-7738	61	7	is	be	AUX
ap-7738	61	8	valid	valid	ADJ
ap-7738	61	9	for	for	ADP
ap-7738	61	10	systems	system	NOUN
ap-7738	61	11	with	with	ADP
ap-7738	61	12	a	a	DET
ap-7738	61	13	static	static	ADJ
ap-7738	61	14	,	,	PUNCT
ap-7738	61	15	pt	pt	NOUN
ap-7738	61	16	-symmetric	-symmetric	ADJ
ap-7738	61	17	hamiltonian	hamiltonian	NOUN
ap-7738	61	18	.	.	PUNCT
ap-7738	62	1	it	it	PRON
ap-7738	62	2	can	can	AUX
ap-7738	62	3	be	be	AUX
ap-7738	62	4	suitably	suitably	ADV
ap-7738	62	5	generalized	generalize	VERB
ap-7738	62	6	to	to	ADP
ap-7738	62	7	time	time	NOUN
ap-7738	62	8	-	-	PUNCT
ap-7738	62	9	periodic	periodic	ADJ
ap-7738	62	10	,	,	PUNCT
ap-7738	62	11	pt	pt	X
ap-7738	62	12	symmetric	symmetric	ADJ
ap-7738	62	13	hamiltonians	hamiltonian	NOUN
ap-7738	62	14	via	via	ADP
ap-7738	62	15	the	the	DET
ap-7738	62	16	floquet	floquet	NOUN
ap-7738	62	17	formalism	formalism	NOUN
ap-7738	62	18	[	[	X
ap-7738	62	19	25	25	NUM
ap-7738	62	20	,	,	PUNCT
ap-7738	62	21	28	28	NUM
ap-7738	62	22	,	,	PUNCT
ap-7738	62	23	32	32	NUM
ap-7738	62	24	,	,	PUNCT
ap-7738	62	25	44	44	NUM
ap-7738	62	26	,	,	PUNCT
ap-7738	62	27	45	45	NUM
ap-7738	62	28	]	]	PUNCT
ap-7738	62	29	.	.	PUNCT
ap-7738	63	1	when	when	SCONJ
ap-7738	63	2	hpt(t	hpt(t	NOUN
ap-7738	63	3	)	)	PUNCT
ap-7738	63	4	=	=	PUNCT
ap-7738	63	5	hpt(t+	hpt(t+	PROPN
ap-7738	63	6	t	t	PROPN
ap-7738	63	7	)	)	PUNCT
ap-7738	63	8	is	be	AUX
ap-7738	63	9	periodic	periodic	ADJ
ap-7738	63	10	in	in	ADP
ap-7738	63	11	time	time	NOUN
ap-7738	63	12	,	,	PUNCT
ap-7738	63	13	the	the	DET
ap-7738	63	14	long	long	ADJ
ap-7738	63	15	-	-	PUNCT
ap-7738	63	16	time	time	NOUN
ap-7738	63	17	dynamics	dynamic	NOUN
ap-7738	63	18	of	of	ADP
ap-7738	63	19	the	the	DET
ap-7738	63	20	system	system	NOUN
ap-7738	63	21	is	be	AUX
ap-7738	63	22	governed	govern	VERB
ap-7738	63	23	by	by	ADP
ap-7738	63	24	the	the	DET
ap-7738	63	25	floquet	floquet	PROPN
ap-7738	63	26	time	time	NOUN
ap-7738	63	27	-	-	PUNCT
ap-7738	63	28	evolution	evolution	NOUN
ap-7738	63	29	operator	operator	NOUN
ap-7738	63	30	[	[	X
ap-7738	63	31	46	46	NUM
ap-7738	63	32	]	]	X
ap-7738	63	33	gf	gf	X
ap-7738	63	34	(	(	PUNCT
ap-7738	63	35	t	t	PROPN
ap-7738	63	36	)	)	PUNCT
ap-7738	64	1	=	=	PUNCT
ap-7738	65	1	te	te	ADP
ap-7738	65	2	−i	−i	PROPN
ap-7738	65	3	∫	∫	PROPN
ap-7738	66	1	t	t	PROPN
ap-7738	66	2	0	0	NUM
ap-7738	67	1	hpt(t′)dt′	hpt(t′)dt′	NOUN
ap-7738	67	2	,	,	PUNCT
ap-7738	67	3	(	(	PUNCT
ap-7738	67	4	6	6	NUM
ap-7738	67	5	)	)	PUNCT
ap-7738	67	6	where	where	SCONJ
ap-7738	67	7	t	t	PROPN
ap-7738	67	8	stands	stand	VERB
ap-7738	67	9	for	for	ADP
ap-7738	67	10	the	the	DET
ap-7738	67	11	time	time	NOUN
ap-7738	67	12	ordered	order	VERB
ap-7738	67	13	product	product	NOUN
ap-7738	67	14	that	that	PRON
ap-7738	67	15	takes	take	VERB
ap-7738	67	16	into	into	ADP
ap-7738	67	17	account	account	NOUN
ap-7738	67	18	non	non	ADJ
ap-7738	67	19	-	-	ADJ
ap-7738	67	20	commuting	commuting	ADJ
ap-7738	67	21	nature	nature	NOUN
ap-7738	67	22	of	of	ADP
ap-7738	67	23	the	the	DET
ap-7738	67	24	hamiltonians	hamiltonian	NOUN
ap-7738	67	25	at	at	ADP
ap-7738	67	26	different	different	ADJ
ap-7738	67	27	times	time	NOUN
ap-7738	67	28	.	.	PUNCT
ap-7738	68	1	the	the	DET
ap-7738	68	2	(	(	PUNCT
ap-7738	68	3	stroboscopic	stroboscopic	NOUN
ap-7738	68	4	)	)	PUNCT
ap-7738	68	5	dynamics	dynamic	NOUN
ap-7738	68	6	of	of	ADP
ap-7738	68	7	the	the	DET
ap-7738	68	8	system	system	NOUN
ap-7738	68	9	at	at	ADP
ap-7738	68	10	times	time	NOUN
ap-7738	68	11	tm	tm	PROPN
ap-7738	68	12	=	=	PROPN
ap-7738	68	13	mt	mt	PROPN
ap-7738	68	14	is	be	AUX
ap-7738	68	15	then	then	ADV
ap-7738	68	16	given	give	VERB
ap-7738	68	17	by	by	ADP
ap-7738	68	18	|ψ(tm)⟩	|ψ(tm)⟩	NUM
ap-7738	68	19	=	=	SYM
ap-7738	68	20	gm	gm	PROPN
ap-7738	68	21	f	f	PROPN
ap-7738	68	22	|ψ(0)⟩	|ψ(0)⟩	PROPN
ap-7738	68	23	,	,	PUNCT
ap-7738	68	24	and	and	CCONJ
ap-7738	68	25	the	the	DET
ap-7738	68	26	corresponding	corresponding	ADJ
ap-7738	68	27	,	,	PUNCT
ap-7738	68	28	hermitian	hermitian	ADJ
ap-7738	68	29	,	,	PUNCT
ap-7738	68	30	conserved	conserved	ADJ
ap-7738	68	31	operators	operator	NOUN
ap-7738	68	32	η̂	η̂	NUM
ap-7738	68	33	=	=	SYM
ap-7738	68	34	η̂†	η̂†	NOUN
ap-7738	68	35	are	be	AUX
ap-7738	68	36	determined	determine	VERB
ap-7738	68	37	by	by	ADP
ap-7738	68	38	[	[	X
ap-7738	68	39	25	25	NUM
ap-7738	68	40	,	,	PUNCT
ap-7738	68	41	34	34	NUM
ap-7738	68	42	]	]	PUNCT
ap-7738	68	43	g†	g†	ADJ
ap-7738	68	44	f	f	X
ap-7738	68	45	η̂gf	η̂gf	NOUN
ap-7738	68	46	=	=	PUNCT
ap-7738	68	47	η̂.	η̂.	NOUN
ap-7738	68	48	(	(	PUNCT
ap-7738	68	49	7	7	NUM
ap-7738	68	50	)	)	PUNCT
ap-7738	68	51	vectorization	vectorization	NOUN
ap-7738	68	52	of	of	ADP
ap-7738	68	53	eq	eq	PROPN
ap-7738	68	54	.	.	PUNCT
ap-7738	69	1	(	(	PUNCT
ap-7738	69	2	7	7	NUM
ap-7738	69	3	)	)	PUNCT
ap-7738	69	4	implies	imply	VERB
ap-7738	69	5	the	the	DET
ap-7738	69	6	conserved	conserved	ADJ
ap-7738	69	7	quantities	quantity	NOUN
ap-7738	69	8	are	be	AUX
ap-7738	69	9	given	give	VERB
ap-7738	69	10	by	by	ADP
ap-7738	69	11	eigenvectors	eigenvector	NOUN
ap-7738	69	12	of	of	ADP
ap-7738	69	13	the	the	DET
ap-7738	69	14	“	"	PUNCT
ap-7738	69	15	floquet	floquet	NOUN
ap-7738	69	16	liouville	liouville	NOUN
ap-7738	69	17	time	time	NOUN
ap-7738	69	18	-	-	PUNCT
ap-7738	69	19	evolution	evolution	NOUN
ap-7738	69	20	”	"	PUNCT
ap-7738	69	21	matrix	matrix	NOUN
ap-7738	69	22	g	g	NOUN
ap-7738	69	23	=	=	SYM
ap-7738	69	24	gt	gt	PROPN
ap-7738	70	1	f	f	PROPN
ap-7738	70	2	⊗g†	⊗g†	NUM
ap-7738	70	3	f	f	X
ap-7738	70	4	(	(	PUNCT
ap-7738	70	5	8)	8)	NUM
ap-7738	70	6	with	with	ADP
ap-7738	70	7	unit	unit	NOUN
ap-7738	70	8	eigenvalue	eigenvalue	PROPN
ap-7738	70	9	.	.	PUNCT
ap-7738	71	1	since	since	SCONJ
ap-7738	71	2	gf	gf	PROPN
ap-7738	71	3	(	(	PUNCT
ap-7738	71	4	t	t	PROPN
ap-7738	71	5	)	)	PUNCT
ap-7738	71	6	inherits	inherit	VERB
ap-7738	71	7	the	the	DET
ap-7738	71	8	pt	pt	NOUN
ap-7738	71	9	symmetry	symmetry	NOUN
ap-7738	71	10	of	of	ADP
ap-7738	71	11	the	the	DET
ap-7738	71	12	time	time	NOUN
ap-7738	71	13	-	-	PUNCT
ap-7738	71	14	periodic	periodic	ADJ
ap-7738	71	15	hamiltonian	hamiltonian	NOUN
ap-7738	71	16	,	,	PUNCT
ap-7738	71	17	the	the	DET
ap-7738	71	18	eigenvalues	eigenvalues	PROPN
ap-7738	71	19	κm	κm	PROPN
ap-7738	71	20	of	of	ADP
ap-7738	71	21	gf	gf	PROPN
ap-7738	71	22	(	(	PUNCT
ap-7738	71	23	t	t	PROPN
ap-7738	71	24	)	)	PUNCT
ap-7738	71	25	either	either	CCONJ
ap-7738	71	26	lie	lie	VERB
ap-7738	71	27	on	on	ADP
ap-7738	71	28	a	a	DET
ap-7738	71	29	circle	circle	NOUN
ap-7738	71	30	(	(	PUNCT
ap-7738	71	31	|κp|	|κp|	X
ap-7738	71	32	=	=	PUNCT
ap-7738	71	33	const	const	PROPN
ap-7738	71	34	.	.	PUNCT
ap-7738	71	35	;	;	PUNCT
ap-7738	71	36	pt	pt	NOUN
ap-7738	71	37	-symmetric	-symmetric	ADJ
ap-7738	71	38	phase	phase	NOUN
ap-7738	71	39	)	)	PUNCT
ap-7738	71	40	or	or	CCONJ
ap-7738	71	41	occur	occur	VERB
ap-7738	71	42	along	along	ADP
ap-7738	71	43	a	a	DET
ap-7738	71	44	radial	radial	ADJ
ap-7738	71	45	line	line	NOUN
ap-7738	71	46	in	in	ADP
ap-7738	71	47	pairs	pair	NOUN
ap-7738	71	48	with	with	ADP
ap-7738	71	49	constant	constant	ADJ
ap-7738	71	50	geometric	geometric	ADJ
ap-7738	71	51	mean	mean	NOUN
ap-7738	71	52	(	(	PUNCT
ap-7738	71	53	|κpκq|	|κpκq|	PROPN
ap-7738	71	54	=	=	SYM
ap-7738	71	55	const	const	PROPN
ap-7738	71	56	.	.	PUNCT
ap-7738	71	57	;	;	PUNCT
ap-7738	71	58	pt	pt	X
ap-7738	71	59	-broken	-broken	VERB
ap-7738	71	60	phase	phase	NOUN
ap-7738	71	61	)	)	PUNCT
ap-7738	71	62	.	.	PUNCT
ap-7738	72	1	therefore	therefore	ADV
ap-7738	72	2	,	,	PUNCT
ap-7738	72	3	it	it	PRON
ap-7738	72	4	is	be	AUX
ap-7738	72	5	straightforward	straightforward	ADJ
ap-7738	72	6	to	to	PART
ap-7738	72	7	see	see	VERB
ap-7738	72	8	that	that	SCONJ
ap-7738	72	9	among	among	ADP
ap-7738	72	10	the	the	DET
ap-7738	72	11	n2	n2	ADJ
ap-7738	72	12	eigenvalues	eigenvalue	NOUN
ap-7738	72	13	λpq	λpq	ADJ
ap-7738	72	14	≡	≡	PROPN
ap-7738	72	15	κpκ	κpκ	PROPN
ap-7738	72	16	∗	∗	PROPN
ap-7738	72	17	q	q	PROPN
ap-7738	72	18	of	of	ADP
ap-7738	72	19	g	g	NOUN
ap-7738	72	20	,	,	PUNCT
ap-7738	72	21	there	there	PRON
ap-7738	72	22	are	be	VERB
ap-7738	72	23	n	n	DET
ap-7738	72	24	unit	unit	NOUN
ap-7738	72	25	eigenvalues	eigenvalue	VERB
ap-7738	72	26	,	,	PUNCT
ap-7738	72	27	giving	give	VERB
ap-7738	72	28	rise	rise	NOUN
ap-7738	72	29	to	to	ADP
ap-7738	72	30	n	n	NOUN
ap-7738	72	31	conserved	conserve	VERB
ap-7738	72	32	quantities	quantity	NOUN
ap-7738	72	33	.	.	PUNCT
ap-7738	73	1	as	as	ADP
ap-7738	73	2	in	in	ADP
ap-7738	73	3	the	the	DET
ap-7738	73	4	case	case	NOUN
ap-7738	73	5	with	with	ADP
ap-7738	73	6	the	the	DET
ap-7738	73	7	static	static	ADJ
ap-7738	73	8	hamiltonian	hamiltonian	NOUN
ap-7738	73	9	,	,	PUNCT
ap-7738	73	10	the	the	DET
ap-7738	73	11	remaining	remain	VERB
ap-7738	73	12	n(n	n(n	NOUN
ap-7738	73	13	−	−	NOUN
ap-7738	73	14	1	1	NUM
ap-7738	73	15	)	)	PUNCT
ap-7738	73	16	eigenvectors	eigenvector	NOUN
ap-7738	73	17	give	give	VERB
ap-7738	73	18	operators	operator	NOUN
ap-7738	73	19	that	that	PRON
ap-7738	73	20	vary	vary	VERB
ap-7738	73	21	exponentially	exponentially	ADV
ap-7738	73	22	with	with	ADP
ap-7738	73	23	the	the	DET
ap-7738	73	24	stroboscopic	stroboscopic	ADJ
ap-7738	73	25	time	time	NOUN
ap-7738	73	26	tm	tm	NOUN
ap-7738	73	27	irrespective	irrespective	ADJ
ap-7738	73	28	of	of	ADP
ap-7738	73	29	the	the	DET
ap-7738	73	30	initial	initial	ADJ
ap-7738	73	31	state	state	NOUN
ap-7738	73	32	|ψ(0)⟩.	|ψ(0)⟩.	ADJ
ap-7738	73	33	2	2	NUM
ap-7738	73	34	vol	vol	NOUN
ap-7738	73	35	.	.	PUNCT
ap-7738	74	1	62	62	NUM
ap-7738	74	2	no	no	INTJ
ap-7738	74	3	.	.	PUNCT
ap-7738	75	1	1/2022	1/2022	NUM
ap-7738	75	2	conserved	conserve	VERB
ap-7738	75	3	quantities	quantity	NOUN
ap-7738	75	4	in	in	ADP
ap-7738	75	5	non	non	ADJ
ap-7738	75	6	-	-	ADJ
ap-7738	75	7	hermitian	hermitian	ADJ
ap-7738	75	8	systems	system	NOUN
ap-7738	75	9	if	if	SCONJ
ap-7738	75	10	λpq	λpq	NOUN
ap-7738	75	11	is	be	AUX
ap-7738	75	12	real	real	ADJ
ap-7738	75	13	,	,	PUNCT
ap-7738	75	14	we	we	PRON
ap-7738	75	15	can	can	AUX
ap-7738	75	16	choose	choose	VERB
ap-7738	75	17	them	they	PRON
ap-7738	75	18	to	to	PART
ap-7738	75	19	be	be	AUX
ap-7738	75	20	hermitian	hermitian	ADJ
ap-7738	75	21	,	,	PUNCT
ap-7738	75	22	as	as	ADP
ap-7738	75	23	in	in	ADP
ap-7738	75	24	the	the	DET
ap-7738	75	25	case	case	NOUN
ap-7738	75	26	of	of	ADP
ap-7738	75	27	a	a	DET
ap-7738	75	28	static	static	ADJ
ap-7738	75	29	hamiltonian	hamiltonian	NOUN
ap-7738	75	30	.	.	PUNCT
ap-7738	76	1	we	we	PRON
ap-7738	76	2	now	now	ADV
ap-7738	76	3	demonstrate	demonstrate	VERB
ap-7738	76	4	these	these	DET
ap-7738	76	5	ideas	idea	NOUN
ap-7738	76	6	with	with	ADP
ap-7738	76	7	two	two	NUM
ap-7738	76	8	concrete	concrete	ADJ
ap-7738	76	9	examples	example	NOUN
ap-7738	76	10	.	.	PUNCT
ap-7738	77	1	3	3	X
ap-7738	77	2	.	.	X
ap-7738	77	3	quantum	quantum	ADJ
ap-7738	77	4	pt	pt	NOUN
ap-7738	77	5	-symmetric	-symmetric	ADJ
ap-7738	77	6	dimer	dimer	NOUN
ap-7738	77	7	we	we	PRON
ap-7738	77	8	first	first	ADV
ap-7738	77	9	consider	consider	VERB
ap-7738	77	10	the	the	DET
ap-7738	77	11	prototypical	prototypical	ADJ
ap-7738	77	12	pt	pt	NOUN
ap-7738	77	13	-symmetric	-symmetric	ADJ
ap-7738	77	14	dimer	dimer	NOUN
ap-7738	77	15	(	(	PUNCT
ap-7738	77	16	n	n	NOUN
ap-7738	77	17	=	=	SYM
ap-7738	77	18	2	2	NUM
ap-7738	77	19	)	)	PUNCT
ap-7738	77	20	with	with	ADP
ap-7738	77	21	a	a	DET
ap-7738	77	22	hamiltonian	hamiltonian	NOUN
ap-7738	77	23	given	give	VERB
ap-7738	77	24	by	by	ADP
ap-7738	77	25	h1(t	h1(t	PROPN
ap-7738	77	26	)	)	PUNCT
ap-7738	77	27	=	=	SYM
ap-7738	77	28	jσx	jσx	PROPN
ap-7738	77	29	+	+	CCONJ
ap-7738	77	30	iγf(t)σz	iγf(t)σz	PROPN
ap-7738	77	31	=	=	SYM
ap-7738	77	32	ht	ht	NOUN
ap-7738	77	33	1	1	NUM
ap-7738	77	34	̸=	̸=	PROPN
ap-7738	77	35	h†	h†	NUM
ap-7738	77	36	1	1	NUM
ap-7738	77	37	.	.	PUNCT
ap-7738	78	1	(	(	PUNCT
ap-7738	78	2	9	9	X
ap-7738	78	3	)	)	PUNCT
ap-7738	78	4	we	we	PRON
ap-7738	78	5	call	call	VERB
ap-7738	78	6	this	this	DET
ap-7738	78	7	model	model	NOUN
ap-7738	78	8	“	"	PUNCT
ap-7738	78	9	quantum	quantum	NOUN
ap-7738	78	10	”	"	PUNCT
ap-7738	78	11	because	because	SCONJ
ap-7738	78	12	it	it	PRON
ap-7738	78	13	arises	arise	VERB
ap-7738	78	14	naturally	naturally	ADV
ap-7738	78	15	in	in	ADP
ap-7738	78	16	minimal	minimal	ADJ
ap-7738	78	17	quantum	quantum	NOUN
ap-7738	78	18	systems	system	NOUN
ap-7738	78	19	undergoing	undergo	VERB
ap-7738	78	20	lindblad	lindblad	ADJ
ap-7738	78	21	evolution	evolution	NOUN
ap-7738	78	22	when	when	SCONJ
ap-7738	78	23	we	we	PRON
ap-7738	78	24	confine	confine	VERB
ap-7738	78	25	ourselves	ourselves	PRON
ap-7738	78	26	to	to	ADP
ap-7738	78	27	trajectories	trajectory	NOUN
ap-7738	78	28	that	that	PRON
ap-7738	78	29	undergo	undergo	VERB
ap-7738	78	30	no	no	DET
ap-7738	78	31	quantum	quantum	NOUN
ap-7738	78	32	jumps	jump	NOUN
ap-7738	78	33	[	[	X
ap-7738	78	34	31	31	NUM
ap-7738	78	35	]	]	PUNCT
ap-7738	78	36	,	,	PUNCT
ap-7738	78	37	as	as	ADV
ap-7738	78	38	well	well	ADV
ap-7738	78	39	as	as	ADP
ap-7738	78	40	in	in	ADP
ap-7738	78	41	wave	wave	NOUN
ap-7738	78	42	systems	system	NOUN
ap-7738	78	43	[	[	X
ap-7738	78	44	18–22	18–22	NUM
ap-7738	78	45	]	]	PUNCT
ap-7738	78	46	.	.	PUNCT
ap-7738	79	1	here	here	ADV
ap-7738	79	2	j	j	PROPN
ap-7738	79	3	>	>	SYM
ap-7738	79	4	0	0	NUM
ap-7738	79	5	denotes	denote	NOUN
ap-7738	79	6	coupling	couple	VERB
ap-7738	79	7	between	between	ADP
ap-7738	79	8	the	the	DET
ap-7738	79	9	two	two	NUM
ap-7738	79	10	degrees	degree	NOUN
ap-7738	79	11	of	of	ADP
ap-7738	79	12	freedom	freedom	NOUN
ap-7738	79	13	and	and	CCONJ
ap-7738	79	14	γ	γ	X
ap-7738	79	15	>	>	X
ap-7738	79	16	0	0	NUM
ap-7738	79	17	is	be	AUX
ap-7738	79	18	the	the	DET
ap-7738	79	19	strength	strength	NOUN
ap-7738	79	20	of	of	ADP
ap-7738	79	21	the	the	DET
ap-7738	79	22	gain	gain	NOUN
ap-7738	79	23	-	-	PUNCT
ap-7738	79	24	loss	loss	NOUN
ap-7738	79	25	term	term	NOUN
ap-7738	79	26	.	.	PUNCT
ap-7738	80	1	h1	h1	PROPN
ap-7738	80	2	is	be	AUX
ap-7738	80	3	pt	pt	NOUN
ap-7738	80	4	-symmetric	-symmetric	NOUN
ap-7738	80	5	with	with	ADP
ap-7738	80	6	the	the	DET
ap-7738	80	7	parity	parity	NOUN
ap-7738	80	8	operator	operator	NOUN
ap-7738	80	9	p	p	NOUN
ap-7738	80	10	=	=	PROPN
ap-7738	80	11	σx	σx	NOUN
ap-7738	80	12	and	and	CCONJ
ap-7738	80	13	time	time	NOUN
ap-7738	80	14	-	-	PUNCT
ap-7738	80	15	reversal	reversal	NOUN
ap-7738	80	16	operator	operator	NOUN
ap-7738	80	17	t	t	NOUN
ap-7738	80	18	=	=	SYM
ap-7738	80	19	∗	∗	NOUN
ap-7738	80	20	(	(	PUNCT
ap-7738	80	21	complex	complex	ADJ
ap-7738	80	22	conjugation	conjugation	NOUN
ap-7738	80	23	)	)	PUNCT
ap-7738	80	24	.	.	PUNCT
ap-7738	81	1	the	the	DET
ap-7738	81	2	eigenvalues	eigenvalue	NOUN
ap-7738	81	3	ϵ1,2	ϵ1,2	PROPN
ap-7738	81	4	=	=	PUNCT
ap-7738	81	5	±	±	PROPN
ap-7738	81	6	√	√	PROPN
ap-7738	81	7	j2	j2	PROPN
ap-7738	81	8	−	−	PROPN
ap-7738	81	9	γ2	γ2	PROPN
ap-7738	81	10	≡	≡	PROPN
ap-7738	81	11	±∆(γ	±∆(γ	NOUN
ap-7738	81	12	)	)	PUNCT
ap-7738	81	13	of	of	ADP
ap-7738	81	14	the	the	DET
ap-7738	81	15	hamiltonian	hamiltonian	NOUN
ap-7738	81	16	h1(γ	h1(γ	NOUN
ap-7738	81	17	)	)	PUNCT
ap-7738	81	18	remain	remain	VERB
ap-7738	81	19	real	real	ADJ
ap-7738	81	20	when	when	SCONJ
ap-7738	81	21	γ	γ	X
ap-7738	81	22	<	<	X
ap-7738	81	23	γpt	γpt	PROPN
ap-7738	81	24	=	=	SYM
ap-7738	81	25	j	j	PROPN
ap-7738	81	26	and	and	CCONJ
ap-7738	81	27	become	become	VERB
ap-7738	81	28	purely	purely	ADV
ap-7738	81	29	imaginary	imaginary	ADJ
ap-7738	81	30	when	when	SCONJ
ap-7738	81	31	γ	γ	X
ap-7738	81	32	exceeds	exceed	VERB
ap-7738	81	33	the	the	DET
ap-7738	81	34	threshold	threshold	NOUN
ap-7738	81	35	.	.	PUNCT
ap-7738	82	1	in	in	ADP
ap-7738	82	2	the	the	DET
ap-7738	82	3	static	static	ADJ
ap-7738	82	4	case	case	NOUN
ap-7738	82	5	,	,	PUNCT
ap-7738	82	6	f(t	f(t	PROPN
ap-7738	82	7	)	)	PUNCT
ap-7738	82	8	=	=	SYM
ap-7738	82	9	1	1	NUM
ap-7738	82	10	,	,	PUNCT
ap-7738	82	11	using	use	VERB
ap-7738	82	12	eq	eq	ADP
ap-7738	82	13	.	.	PROPN
ap-7738	82	14	1	1	NUM
ap-7738	82	15	,	,	PUNCT
ap-7738	82	16	it	it	PRON
ap-7738	82	17	is	be	AUX
ap-7738	82	18	easy	easy	ADJ
ap-7738	82	19	to	to	PART
ap-7738	82	20	show	show	VERB
ap-7738	82	21	that	that	SCONJ
ap-7738	82	22	η̂1	η̂1	NOUN
ap-7738	82	23	=	=	SYM
ap-7738	82	24	p	p	NOUN
ap-7738	82	25	=	=	PUNCT
ap-7738	82	26	σx	σx	PROPN
ap-7738	82	27	is	be	AUX
ap-7738	82	28	the	the	DET
ap-7738	82	29	first	first	ADJ
ap-7738	82	30	intertwining	intertwine	VERB
ap-7738	82	31	operator	operator	NOUN
ap-7738	82	32	[	[	X
ap-7738	82	33	34	34	NUM
ap-7738	82	34	,	,	PUNCT
ap-7738	82	35	35	35	NUM
ap-7738	82	36	]	]	PUNCT
ap-7738	82	37	,	,	PUNCT
ap-7738	82	38	and	and	CCONJ
ap-7738	82	39	the	the	DET
ap-7738	82	40	recursive	recursive	ADJ
ap-7738	82	41	construction	construction	NOUN
ap-7738	82	42	gives	give	VERB
ap-7738	82	43	the	the	DET
ap-7738	82	44	second	second	ADJ
ap-7738	82	45	intertwining	intertwine	VERB
ap-7738	82	46	operator	operator	NOUN
ap-7738	82	47	as	as	ADP
ap-7738	82	48	η̂2	η̂2	NOUN
ap-7738	82	49	=	=	SYM
ap-7738	82	50	η̂1h1	η̂1h1	PROPN
ap-7738	82	51	/	/	SYM
ap-7738	82	52	j	j	PROPN
ap-7738	82	53	=	=	SYM
ap-7738	82	54	1	1	NUM
ap-7738	82	55	+	+	CCONJ
ap-7738	82	56	(	(	PUNCT
ap-7738	82	57	γ	γ	X
ap-7738	82	58	/	/	SYM
ap-7738	82	59	j)σy	j)σy	PROPN
ap-7738	82	60	.	.	PUNCT
ap-7738	83	1	however	however	ADV
ap-7738	83	2	,	,	PUNCT
ap-7738	83	3	the	the	DET
ap-7738	83	4	corresponding	correspond	VERB
ap-7738	83	5	4	4	NUM
ap-7738	83	6	×	×	NOUN
ap-7738	83	7	4	4	NUM
ap-7738	83	8	liouvillian	liouvillian	ADJ
ap-7738	83	9	matrix	matrix	NOUN
ap-7738	83	10	l	l	NOUN
ap-7738	83	11	,	,	PUNCT
ap-7738	83	12	eq	eq	NOUN
ap-7738	83	13	.	.	PUNCT
ap-7738	83	14	(	(	PUNCT
ap-7738	83	15	4	4	NUM
ap-7738	83	16	)	)	PUNCT
ap-7738	83	17	,	,	PUNCT
ap-7738	83	18	has	have	VERB
ap-7738	83	19	two	two	NUM
ap-7738	83	20	nonzero	nonzero	NOUN
ap-7738	83	21	eigenvalues	eigenvalue	NOUN
ap-7738	83	22	that	that	PRON
ap-7738	83	23	are	be	AUX
ap-7738	83	24	given	give	VERB
ap-7738	83	25	by	by	ADP
ap-7738	83	26	e±	e±	PROPN
ap-7738	83	27	=	=	SYM
ap-7738	83	28	±2i∆.	±2i∆.	PROPN
ap-7738	83	29	the	the	DET
ap-7738	83	30	corresponding	correspond	VERB
ap-7738	83	31	eigen	eigen	PROPN
ap-7738	83	32	-	-	PUNCT
ap-7738	83	33	operators	operator	NOUN
ap-7738	83	34	are	be	AUX
ap-7738	83	35	given	give	VERB
ap-7738	83	36	by	by	ADP
ap-7738	83	37	η̂±	η̂±	PROPN
ap-7738	83	38	=	=	SYM
ap-7738	83	39	1	1	NUM
ap-7738	83	40	j2	j2	NOUN
ap-7738	83	41	[	[	PUNCT
ap-7738	83	42	(	(	PUNCT
ap-7738	83	43	γ	γ	PROPN
ap-7738	83	44	±	±	PROPN
ap-7738	83	45	i∆)2	i∆)2	PROPN
ap-7738	83	46	−i(γ	−i(γ	PROPN
ap-7738	83	47	±	±	PROPN
ap-7738	83	48	i∆	i∆	NOUN
ap-7738	83	49	)	)	PUNCT
ap-7738	84	1	+	+	PROPN
ap-7738	84	2	i(γ	i(γ	PROPN
ap-7738	84	3	±	±	NUM
ap-7738	84	4	i∆	i∆	NOUN
ap-7738	84	5	)	)	PUNCT
ap-7738	84	6	1	1	NUM
ap-7738	84	7	]	]	PUNCT
ap-7738	84	8	.	.	PUNCT
ap-7738	85	1	(	(	PUNCT
ap-7738	85	2	10	10	NUM
ap-7738	85	3	)	)	PUNCT
ap-7738	85	4	note	note	NOUN
ap-7738	85	5	that	that	SCONJ
ap-7738	85	6	the	the	DET
ap-7738	85	7	2	2	NUM
ap-7738	85	8	×	×	NOUN
ap-7738	85	9	2	2	NUM
ap-7738	85	10	matrices	matrix	NOUN
ap-7738	85	11	η̂±	η̂±	PROPN
ap-7738	85	12	have	have	AUX
ap-7738	85	13	rank	rank	NOUN
ap-7738	85	14	1	1	NUM
ap-7738	85	15	,	,	PUNCT
ap-7738	85	16	and	and	CCONJ
ap-7738	85	17	thus	thus	ADV
ap-7738	85	18	are	be	AUX
ap-7738	85	19	not	not	PART
ap-7738	85	20	invertible	invertible	ADJ
ap-7738	85	21	.	.	PUNCT
ap-7738	86	1	in	in	ADP
ap-7738	86	2	the	the	DET
ap-7738	86	3	pt	pt	NOUN
ap-7738	86	4	-symmetric	-symmetric	ADJ
ap-7738	86	5	region	region	NOUN
ap-7738	86	6	(	(	PUNCT
ap-7738	86	7	∆	∆	PROPN
ap-7738	86	8	∈	∈	PROPN
ap-7738	86	9	r	r	NOUN
ap-7738	86	10	)	)	PUNCT
ap-7738	86	11	,	,	PUNCT
ap-7738	86	12	the	the	DET
ap-7738	86	13	operators	operator	NOUN
ap-7738	86	14	η̂±	η̂±	PROPN
ap-7738	86	15	are	be	AUX
ap-7738	86	16	not	not	PART
ap-7738	86	17	hermitian	hermitian	ADJ
ap-7738	86	18	,	,	PUNCT
ap-7738	86	19	whereas	whereas	SCONJ
ap-7738	86	20	in	in	ADP
ap-7738	86	21	the	the	DET
ap-7738	86	22	pt	pt	PROPN
ap-7738	86	23	broken	break	VERB
ap-7738	86	24	region	region	NOUN
ap-7738	86	25	(	(	PUNCT
ap-7738	86	26	∆	∆	PROPN
ap-7738	86	27	∈	∈	PROPN
ap-7738	86	28	ir	ir	PROPN
ap-7738	86	29	)	)	PUNCT
ap-7738	86	30	,	,	PUNCT
ap-7738	86	31	they	they	PRON
ap-7738	86	32	are	be	AUX
ap-7738	86	33	hermitian	hermitian	ADJ
ap-7738	86	34	.	.	PUNCT
ap-7738	87	1	next	next	ADV
ap-7738	87	2	we	we	PRON
ap-7738	87	3	consider	consider	VERB
ap-7738	87	4	the	the	DET
ap-7738	87	5	time	time	NOUN
ap-7738	87	6	-	-	PUNCT
ap-7738	87	7	periodic	periodic	NOUN
ap-7738	87	8	case	case	NOUN
ap-7738	87	9	,	,	PUNCT
ap-7738	87	10	i.e.	i.e.	X
ap-7738	87	11	f(t	f(t	NOUN
ap-7738	87	12	)	)	PUNCT
ap-7738	87	13	=	=	SYM
ap-7738	87	14	f(t+	f(t+	PROPN
ap-7738	87	15	t	t	NOUN
ap-7738	87	16	)	)	PUNCT
ap-7738	87	17	where	where	SCONJ
ap-7738	87	18	f(t	f(t	NOUN
ap-7738	87	19	)	)	PUNCT
ap-7738	87	20	=	=	SYM
ap-7738	87	21	sgn(t	sgn(t	PROPN
ap-7738	87	22	)	)	PUNCT
ap-7738	87	23	for	for	ADP
ap-7738	87	24	|t|	|t|	VERB
ap-7738	87	25	<	<	X
ap-7738	87	26	t/2	t/2	NUM
ap-7738	87	27	denotes	denote	NOUN
ap-7738	87	28	a	a	DET
ap-7738	87	29	square	square	ADJ
ap-7738	87	30	wave	wave	NOUN
ap-7738	87	31	.	.	PUNCT
ap-7738	88	1	this	this	DET
ap-7738	88	2	piecewise	piecewise	NOUN
ap-7738	88	3	constant	constant	ADJ
ap-7738	88	4	gain	gain	NOUN
ap-7738	88	5	and	and	CCONJ
ap-7738	88	6	loss	loss	NOUN
ap-7738	88	7	means	mean	VERB
ap-7738	88	8	that	that	SCONJ
ap-7738	88	9	the	the	DET
ap-7738	88	10	hamiltonian	hamiltonian	ADJ
ap-7738	88	11	switches	switch	NOUN
ap-7738	88	12	from	from	ADP
ap-7738	88	13	h1	h1	PROPN
ap-7738	88	14	+	+	CCONJ
ap-7738	88	15	=	=	PROPN
ap-7738	88	16	jσx	jσx	PROPN
ap-7738	88	17	+	+	NUM
ap-7738	88	18	iγσz	iγσz	NOUN
ap-7738	88	19	for	for	ADP
ap-7738	88	20	0	0	NUM
ap-7738	88	21	≤	≤	NOUN
ap-7738	88	22	t	t	NOUN
ap-7738	88	23	<	<	X
ap-7738	88	24	t/2	t/2	NUM
ap-7738	88	25	to	to	ADP
ap-7738	88	26	h1−	h1−	PROPN
ap-7738	88	27	=	=	SYM
ap-7738	88	28	t	t	NOUN
ap-7738	88	29	h1+t	h1+t	PROPN
ap-7738	88	30	=	=	SYM
ap-7738	88	31	jσx	jσx	PROPN
ap-7738	88	32	−iγσz	−iγσz	NOUN
ap-7738	88	33	for	for	ADP
ap-7738	88	34	t/2	t/2	NUM
ap-7738	88	35	≤	≤	NUM
ap-7738	88	36	t	t	PROPN
ap-7738	88	37	<	<	X
ap-7738	88	38	t	t	PROPN
ap-7738	88	39	.	.	PUNCT
ap-7738	89	1	the	the	DET
ap-7738	89	2	non	non	ADJ
ap-7738	89	3	-	-	ADJ
ap-7738	89	4	unitary	unitary	ADJ
ap-7738	89	5	floquet	floquet	NOUN
ap-7738	89	6	time	time	NOUN
ap-7738	89	7	-	-	PUNCT
ap-7738	89	8	evolution	evolution	NOUN
ap-7738	89	9	operator	operator	NOUN
ap-7738	89	10	can	can	AUX
ap-7738	89	11	be	be	AUX
ap-7738	89	12	explicitly	explicitly	ADV
ap-7738	89	13	evaluated	evaluate	VERB
ap-7738	89	14	as	as	ADP
ap-7738	89	15	[	[	X
ap-7738	89	16	47	47	NUM
ap-7738	89	17	]	]	X
ap-7738	89	18	gf	gf	X
ap-7738	89	19	(	(	PUNCT
ap-7738	89	20	t	t	PROPN
ap-7738	89	21	)	)	PUNCT
ap-7738	89	22	=	=	SYM
ap-7738	89	23	e−ih1−t/2e−ih1+t/2	e−ih1−t/2e−ih1+t/2	PROPN
ap-7738	89	24	,	,	PUNCT
ap-7738	89	25	(	(	PUNCT
ap-7738	89	26	11	11	NUM
ap-7738	89	27	)	)	PUNCT
ap-7738	89	28	=	=	SYM
ap-7738	90	1	g012	g012	PROPN
ap-7738	90	2	+	+	CCONJ
ap-7738	90	3	igxσx	igxσx	PROPN
ap-7738	90	4	+	+	NOUN
ap-7738	90	5	gyσy	gyσy	NOUN
ap-7738	90	6	,	,	PUNCT
ap-7738	90	7	(	(	PUNCT
ap-7738	90	8	12	12	NUM
ap-7738	90	9	)	)	PUNCT
ap-7738	90	10	where	where	SCONJ
ap-7738	90	11	g0	g0	NOUN
ap-7738	90	12	=	=	PUNCT
ap-7738	91	1	[	[	X
ap-7738	91	2	j2	j2	PROPN
ap-7738	91	3	cos(∆t	cos(∆t	PROPN
ap-7738	91	4	)	)	PUNCT
ap-7738	92	1	−	−	PROPN
ap-7738	92	2	γ2]/∆2	γ2]/∆2	NOUN
ap-7738	92	3	,	,	PUNCT
ap-7738	92	4	gx	gx	PROPN
ap-7738	92	5	=	=	PUNCT
ap-7738	92	6	−j	−j	NOUN
ap-7738	92	7	sin(∆t	sin(∆t	NOUN
ap-7738	92	8	)	)	PUNCT
ap-7738	92	9	/∆	/∆	PUNCT
ap-7738	92	10	and	and	CCONJ
ap-7738	92	11	gy	gy	NOUN
ap-7738	92	12	=	=	SYM
ap-7738	92	13	−jγ[1	−jγ[1	PROPN
ap-7738	92	14	−	−	PROPN
ap-7738	92	15	cos(∆t	cos(∆t	NOUN
ap-7738	92	16	)	)	PUNCT
ap-7738	92	17	]	]	PUNCT
ap-7738	92	18	/∆2	/∆2	NOUN
ap-7738	92	19	are	be	AUX
ap-7738	92	20	coefficients	coefficient	NOUN
ap-7738	92	21	that	that	PRON
ap-7738	92	22	remain	remain	VERB
ap-7738	92	23	real	real	ADV
ap-7738	92	24	irrespective	irrespective	ADV
ap-7738	92	25	of	of	ADP
ap-7738	92	26	where	where	SCONJ
ap-7738	92	27	∆(γ	∆(γ	X
ap-7738	92	28	)	)	PUNCT
ap-7738	92	29	is	be	AUX
ap-7738	92	30	real	real	ADJ
ap-7738	92	31	or	or	CCONJ
ap-7738	92	32	purely	purely	ADV
ap-7738	92	33	imaginary	imaginary	ADJ
ap-7738	92	34	.	.	PUNCT
ap-7738	93	1	when	when	SCONJ
ap-7738	93	2	γ	γ	X
ap-7738	93	3	→	→	SYM
ap-7738	93	4	0	0	NUM
ap-7738	93	5	,	,	PUNCT
ap-7738	93	6	this	this	PRON
ap-7738	93	7	reproduces	reproduce	VERB
ap-7738	93	8	the	the	DET
ap-7738	93	9	expected	expect	VERB
ap-7738	93	10	result	result	NOUN
ap-7738	93	11	gf	gf	X
ap-7738	93	12	(	(	PUNCT
ap-7738	93	13	t	t	PROPN
ap-7738	93	14	)	)	PUNCT
ap-7738	93	15	=	=	PUNCT
ap-7738	94	1	exp(−ijσxt	exp(−ijσxt	NUM
ap-7738	94	2	)	)	PUNCT
ap-7738	94	3	and	and	CCONJ
ap-7738	94	4	in	in	ADP
ap-7738	94	5	the	the	DET
ap-7738	94	6	limit	limit	NOUN
ap-7738	94	7	t	t	PROPN
ap-7738	94	8	→	→	SYM
ap-7738	94	9	0	0	PROPN
ap-7738	94	10	,	,	PUNCT
ap-7738	94	11	the	the	DET
ap-7738	94	12	time	time	NOUN
ap-7738	94	13	-	-	PUNCT
ap-7738	94	14	evolution	evolution	NOUN
ap-7738	94	15	operator	operator	NOUN
ap-7738	94	16	reduces	reduce	VERB
ap-7738	94	17	to	to	ADP
ap-7738	94	18	12	12	NUM
ap-7738	94	19	as	as	SCONJ
ap-7738	94	20	expected	expect	VERB
ap-7738	94	21	.	.	PUNCT
ap-7738	95	1	on	on	ADP
ap-7738	95	2	the	the	DET
ap-7738	95	3	other	other	ADJ
ap-7738	95	4	hand	hand	NOUN
ap-7738	95	5	,	,	PUNCT
ap-7738	95	6	as	as	ADP
ap-7738	95	7	∆	∆	PROPN
ap-7738	95	8	→	→	X
ap-7738	95	9	0	0	NUM
ap-7738	95	10	,	,	PUNCT
ap-7738	95	11	the	the	DET
ap-7738	95	12	power	power	NOUN
ap-7738	95	13	series	series	NOUN
ap-7738	95	14	for	for	ADP
ap-7738	95	15	gf	gf	PROPN
ap-7738	95	16	(	(	PUNCT
ap-7738	95	17	t	t	PROPN
ap-7738	95	18	)	)	PUNCT
ap-7738	95	19	terminates	terminate	VERB
ap-7738	95	20	at	at	ADP
ap-7738	95	21	second	second	ADJ
ap-7738	95	22	order	order	NOUN
ap-7738	95	23	in	in	ADP
ap-7738	95	24	t	t	PROPN
ap-7738	95	25	in	in	ADP
ap-7738	95	26	a	a	DET
ap-7738	95	27	sharp	sharp	ADJ
ap-7738	95	28	contrast	contrast	NOUN
ap-7738	95	29	to	to	ADP
ap-7738	95	30	the	the	DET
ap-7738	95	31	static	static	ADJ
ap-7738	95	32	case	case	NOUN
ap-7738	95	33	,	,	PUNCT
ap-7738	95	34	where	where	SCONJ
ap-7738	95	35	it	it	PRON
ap-7738	95	36	terminates	terminate	VERB
ap-7738	95	37	at	at	ADP
ap-7738	95	38	first	first	ADJ
ap-7738	95	39	order	order	NOUN
ap-7738	95	40	in	in	ADP
ap-7738	95	41	time	time	NOUN
ap-7738	95	42	.	.	PUNCT
ap-7738	96	1	the	the	DET
ap-7738	96	2	eigenvalues	eigenvalue	NOUN
ap-7738	96	3	of	of	ADP
ap-7738	96	4	gf	gf	PROPN
ap-7738	96	5	,	,	PUNCT
ap-7738	96	6	eq	eq	ADJ
ap-7738	96	7	.	.	PUNCT
ap-7738	97	1	(	(	PUNCT
ap-7738	97	2	12	12	NUM
ap-7738	97	3	)	)	PUNCT
ap-7738	97	4	,	,	PUNCT
ap-7738	97	5	are	be	AUX
ap-7738	97	6	κ1,2	κ1,2	PROPN
ap-7738	97	7	=	=	SYM
ap-7738	97	8	g0	g0	PROPN
ap-7738	97	9	±	±	PROPN
ap-7738	98	1	i	i	PRON
ap-7738	98	2	√	√	VERB
ap-7738	98	3	g2	g2	PROPN
ap-7738	98	4	x	x	PUNCT
ap-7738	98	5	−g2	−g2	PROPN
ap-7738	98	6	y.	y.	NOUN
ap-7738	98	7	(	(	PUNCT
ap-7738	98	8	13	13	NUM
ap-7738	98	9	)	)	PUNCT
ap-7738	98	10	thus	thus	ADV
ap-7738	98	11	the	the	DET
ap-7738	98	12	ep	ep	PROPN
ap-7738	98	13	contours	contours	NOUN
ap-7738	98	14	separating	separate	VERB
ap-7738	98	15	the	the	DET
ap-7738	98	16	pt	pt	NOUN
ap-7738	98	17	-symmetric	-symmetric	ADJ
ap-7738	98	18	phase	phase	NOUN
ap-7738	98	19	(	(	PUNCT
ap-7738	98	20	|κ1|	|κ1|	NOUN
ap-7738	98	21	=	=	SYM
ap-7738	98	22	|κ2|	|κ2|	NOUN
ap-7738	98	23	)	)	PUNCT
ap-7738	98	24	from	from	ADP
ap-7738	98	25	the	the	DET
ap-7738	98	26	pt	pt	NOUN
ap-7738	98	27	-broken	-broken	VERB
ap-7738	98	28	phase	phase	NOUN
ap-7738	98	29	(	(	PUNCT
ap-7738	98	30	|κ1|	|κ1|	NOUN
ap-7738	98	31	=	=	NOUN
ap-7738	98	32	̸	̸	NUM
ap-7738	98	33	|κ2|	|κ2|	NOUN
ap-7738	98	34	)	)	PUNCT
ap-7738	98	35	are	be	AUX
ap-7738	98	36	given	give	VERB
ap-7738	98	37	by	by	ADP
ap-7738	98	38	gx	gx	PROPN
ap-7738	98	39	=	=	PROPN
ap-7738	98	40	±gy	±gy	NOUN
ap-7738	98	41	[	[	X
ap-7738	98	42	47	47	NUM
ap-7738	98	43	]	]	PUNCT
ap-7738	98	44	.	.	PUNCT
ap-7738	99	1	it	it	PRON
ap-7738	99	2	is	be	AUX
ap-7738	99	3	easy	easy	ADJ
ap-7738	99	4	to	to	PART
ap-7738	99	5	check	check	VERB
ap-7738	99	6	that	that	DET
ap-7738	99	7	η̂1	η̂1	NOUN
ap-7738	99	8	=	=	SYM
ap-7738	99	9	σx	σx	NOUN
ap-7738	99	10	satisfies	satisfy	VERB
ap-7738	99	11	g†	g†	ADJ
ap-7738	99	12	f	f	X
ap-7738	99	13	η̂1gf	η̂1gf	X
ap-7738	99	14	=	=	PUNCT
ap-7738	99	15	η̂1	η̂1	NOUN
ap-7738	99	16	and	and	CCONJ
ap-7738	99	17	is	be	AUX
ap-7738	99	18	a	a	DET
ap-7738	99	19	stroboscopically	stroboscopically	ADV
ap-7738	99	20	conserved	conserve	VERB
ap-7738	99	21	quantity	quantity	NOUN
ap-7738	99	22	.	.	PUNCT
ap-7738	100	1	the	the	DET
ap-7738	100	2	second	second	ADJ
ap-7738	100	3	conserved	conserved	ADJ
ap-7738	100	4	operator	operator	NOUN
ap-7738	100	5	is	be	AUX
ap-7738	100	6	obtained	obtain	VERB
ap-7738	100	7	from	from	ADP
ap-7738	100	8	the	the	DET
ap-7738	100	9	symmetrized	symmetrize	VERB
ap-7738	100	10	or	or	CCONJ
ap-7738	100	11	antisymmetrized	antisymmetrize	VERB
ap-7738	100	12	version	version	NOUN
ap-7738	100	13	of	of	ADP
ap-7738	100	14	the	the	DET
ap-7738	100	15	recursive	recursive	ADJ
ap-7738	100	16	construction	construction	NOUN
ap-7738	100	17	[	[	X
ap-7738	100	18	34	34	NUM
ap-7738	100	19	]	]	PUNCT
ap-7738	101	1	,	,	PUNCT
ap-7738	101	2	i.e.	i.e.	X
ap-7738	101	3	η̂2	η̂2	NOUN
ap-7738	101	4	=	=	SYM
ap-7738	101	5	{	{	PUNCT
ap-7738	101	6	(	(	PUNCT
ap-7738	101	7	η̂1gf	η̂1gf	PROPN
ap-7738	101	8	+	+	PROPN
ap-7738	101	9	g†	g†	ADJ
ap-7738	101	10	f	f	PROPN
ap-7738	101	11	η̂1)/2	η̂1)/2	PROPN
ap-7738	101	12	,	,	PUNCT
ap-7738	101	13	−i(η̂1gf	−i(η̂1gf	VERB
ap-7738	101	14	−g†	−g†	ADJ
ap-7738	101	15	f	f	PROPN
ap-7738	101	16	η̂1)/2	η̂1)/2	PROPN
ap-7738	101	17	.	.	PUNCT
ap-7738	102	1	(	(	PUNCT
ap-7738	102	2	14	14	NUM
ap-7738	102	3	)	)	PUNCT
ap-7738	102	4	in	in	ADP
ap-7738	102	5	the	the	DET
ap-7738	102	6	present	present	ADJ
ap-7738	102	7	case	case	NOUN
ap-7738	102	8	,	,	PUNCT
ap-7738	102	9	the	the	DET
ap-7738	102	10	symmetrized	symmetrize	VERB
ap-7738	102	11	version	version	NOUN
ap-7738	102	12	returns	return	NOUN
ap-7738	102	13	η̂1	η̂1	NOUN
ap-7738	102	14	while	while	SCONJ
ap-7738	102	15	the	the	DET
ap-7738	102	16	antisymmetrized	antisymmetrize	VERB
ap-7738	102	17	version	version	NOUN
ap-7738	102	18	gives	give	VERB
ap-7738	102	19	the	the	DET
ap-7738	102	20	second	second	ADJ
ap-7738	102	21	,	,	PUNCT
ap-7738	102	22	linearly	linearly	ADV
ap-7738	102	23	independent	independent	ADJ
ap-7738	102	24	conserved	conserved	ADJ
ap-7738	102	25	operator	operator	NOUN
ap-7738	102	26	as	as	ADP
ap-7738	102	27	η̂2	η̂2	NOUN
ap-7738	102	28	=	=	SYM
ap-7738	102	29	gx12	gx12	PROPN
ap-7738	102	30	+	+	NUM
ap-7738	102	31	gyσz	gyσz	NOUN
ap-7738	102	32	.	.	PUNCT
ap-7738	103	1	following	follow	VERB
ap-7738	103	2	the	the	DET
ap-7738	103	3	procedure	procedure	NOUN
ap-7738	103	4	outlined	outline	VERB
ap-7738	103	5	in	in	ADP
ap-7738	103	6	section	section	NOUN
ap-7738	103	7	2	2	NUM
ap-7738	103	8	gives	give	VERB
ap-7738	103	9	us	we	PRON
ap-7738	103	10	two	two	NUM
ap-7738	103	11	unity	unity	NOUN
ap-7738	103	12	eigenvalues	eigenvalue	NOUN
ap-7738	103	13	of	of	ADP
ap-7738	103	14	g	g	NOUN
ap-7738	103	15	,	,	PUNCT
ap-7738	103	16	eq	eq	NOUN
ap-7738	103	17	.	.	PUNCT
ap-7738	104	1	(	(	PUNCT
ap-7738	104	2	8)	8)	NUM
ap-7738	104	3	,	,	PUNCT
ap-7738	104	4	with	with	ADP
ap-7738	104	5	corresponding	correspond	VERB
ap-7738	104	6	conserved	conserved	ADJ
ap-7738	104	7	operators	operator	NOUN
ap-7738	104	8	.	.	PUNCT
ap-7738	105	1	the	the	DET
ap-7738	105	2	remaining	remain	VERB
ap-7738	105	3	two	two	NUM
ap-7738	105	4	eigenvalues	eigenvalue	NOUN
ap-7738	105	5	are	be	AUX
ap-7738	105	6	complex	complex	ADJ
ap-7738	105	7	conjugates	conjugate	NOUN
ap-7738	105	8	with	with	ADP
ap-7738	105	9	unit	unit	NOUN
ap-7738	105	10	length	length	NOUN
ap-7738	105	11	in	in	ADP
ap-7738	105	12	the	the	DET
ap-7738	105	13	pt	pt	NOUN
ap-7738	105	14	-symmetric	-symmetric	ADJ
ap-7738	105	15	region	region	NOUN
ap-7738	105	16	,	,	PUNCT
ap-7738	105	17	i.e.	i.e.	X
ap-7738	105	18	λ3	λ3	PROPN
ap-7738	105	19	=	=	SYM
ap-7738	105	20	λ∗	λ∗	NOUN
ap-7738	105	21	4	4	NUM
ap-7738	105	22	=	=	SYM
ap-7738	105	23	eiϕ	eiϕ	PROPN
ap-7738	105	24	with	with	ADP
ap-7738	105	25	eigen	eigen	PROPN
ap-7738	105	26	-	-	PUNCT
ap-7738	105	27	operators	operator	NOUN
ap-7738	105	28	η̂+	η̂+	NOUN
ap-7738	105	29	=	=	SYM
ap-7738	105	30	η̂†	η̂†	NOUN
ap-7738	105	31	−	−	NOUN
ap-7738	105	32	that	that	PRON
ap-7738	105	33	are	be	AUX
ap-7738	105	34	hermitian	hermitian	ADJ
ap-7738	105	35	conjugates	conjugate	NOUN
ap-7738	105	36	of	of	ADP
ap-7738	105	37	each	each	DET
ap-7738	105	38	other	other	ADJ
ap-7738	105	39	.	.	PUNCT
ap-7738	106	1	in	in	ADP
ap-7738	106	2	the	the	DET
ap-7738	106	3	pt	pt	NOUN
ap-7738	106	4	-broken	-broken	ADJ
ap-7738	106	5	region	region	NOUN
ap-7738	106	6	,	,	PUNCT
ap-7738	106	7	the	the	DET
ap-7738	106	8	two	two	NUM
ap-7738	106	9	complex	complex	ADJ
ap-7738	106	10	eigenvalues	eigenvalue	NOUN
ap-7738	106	11	with	with	ADP
ap-7738	106	12	equal	equal	ADJ
ap-7738	106	13	phase	phase	NOUN
ap-7738	106	14	satisfy	satisfy	VERB
ap-7738	106	15	|λ3λ4|	|λ3λ4|	NUM
ap-7738	107	1	=	=	SYM
ap-7738	107	2	1	1	X
ap-7738	107	3	.	.	PUNCT
ap-7738	107	4	figure	figure	NOUN
ap-7738	107	5	1	1	NUM
ap-7738	107	6	shows	show	VERB
ap-7738	107	7	expectation	expectation	NOUN
ap-7738	107	8	values	value	NOUN
ap-7738	107	9	normalized	normalize	VERB
ap-7738	107	10	to	to	ADP
ap-7738	107	11	their	their	PRON
ap-7738	107	12	initial	initial	ADJ
ap-7738	107	13	values	value	NOUN
ap-7738	107	14	,	,	PUNCT
ap-7738	107	15	ηα(t	ηα(t	NOUN
ap-7738	107	16	)	)	PUNCT
ap-7738	107	17	≡	≡	PROPN
ap-7738	107	18	⟨ψ(t)|η̂α|ψ(t)⟩	⟨ψ(t)|η̂α|ψ(t)⟩	PROPN
ap-7738	107	19	⟨ψ(0)|η̂α|ψ(0)⟩	⟨ψ(0)|η̂α|ψ(0)⟩	NOUN
ap-7738	107	20	(	(	PUNCT
ap-7738	107	21	15	15	NUM
ap-7738	107	22	)	)	PUNCT
ap-7738	107	23	calculated	calculate	VERB
ap-7738	107	24	with	with	ADP
ap-7738	107	25	initial	initial	ADJ
ap-7738	107	26	state	state	NOUN
ap-7738	107	27	|ψ(0)⟩	|ψ(0)⟩	NOUN
ap-7738	107	28	=	=	SYM
ap-7738	108	1	|	|	NOUN
ap-7738	108	2	+	+	CCONJ
ap-7738	108	3	x⟩	x⟩	PUNCT
ap-7738	108	4	as	as	ADP
ap-7738	108	5	a	a	DET
ap-7738	108	6	function	function	NOUN
ap-7738	108	7	of	of	ADP
ap-7738	108	8	dimensionless	dimensionless	ADJ
ap-7738	108	9	time	time	NOUN
ap-7738	108	10	t	t	PROPN
ap-7738	108	11	/	/	SYM
ap-7738	108	12	t	t	PROPN
ap-7738	108	13	.	.	PUNCT
ap-7738	109	1	the	the	DET
ap-7738	109	2	system	system	NOUN
ap-7738	109	3	parameters	parameter	NOUN
ap-7738	109	4	are	be	AUX
ap-7738	109	5	γ	γ	X
ap-7738	109	6	=	=	SYM
ap-7738	109	7	0.5j	0.5j	PROPN
ap-7738	109	8	,	,	PUNCT
ap-7738	109	9	jt	jt	PROPN
ap-7738	109	10	=	=	PROPN
ap-7738	109	11	1	1	NUM
ap-7738	109	12	,	,	PUNCT
ap-7738	109	13	and	and	CCONJ
ap-7738	109	14	|	|	ADV
ap-7738	110	1	+	+	CCONJ
ap-7738	110	2	x⟩	x⟩	NUM
ap-7738	110	3	is	be	AUX
ap-7738	110	4	the	the	DET
ap-7738	110	5	eigenstate	eigenstate	NOUN
ap-7738	110	6	of	of	ADP
ap-7738	110	7	σx	σx	PROPN
ap-7738	110	8	with	with	ADP
ap-7738	110	9	eigenvalue	eigenvalue	PROPN
ap-7738	110	10	+1	+1	PROPN
ap-7738	110	11	.	.	PUNCT
ap-7738	111	1	thus	thus	ADV
ap-7738	111	2	,	,	PUNCT
ap-7738	111	3	the	the	DET
ap-7738	111	4	system	system	NOUN
ap-7738	111	5	is	be	AUX
ap-7738	111	6	in	in	ADP
ap-7738	111	7	the	the	DET
ap-7738	111	8	pt	pt	NOUN
ap-7738	111	9	-symmetric	-symmetric	ADJ
ap-7738	111	10	region	region	NOUN
ap-7738	111	11	.	.	PUNCT
ap-7738	112	1	figure	figure	NOUN
ap-7738	112	2	1a	1a	PROPN
ap-7738	112	3	shows	show	VERB
ap-7738	112	4	that	that	SCONJ
ap-7738	112	5	η1(t	η1(t	X
ap-7738	112	6	)	)	PUNCT
ap-7738	112	7	is	be	AUX
ap-7738	112	8	conserved	conserve	VERB
ap-7738	112	9	in	in	ADP
ap-7738	112	10	this	this	DET
ap-7738	112	11	evolution	evolution	NOUN
ap-7738	112	12	at	at	ADP
ap-7738	112	13	all	all	DET
ap-7738	112	14	times	time	NOUN
ap-7738	112	15	,	,	PUNCT
ap-7738	112	16	not	not	PART
ap-7738	112	17	just	just	ADV
ap-7738	112	18	stroboscopically	stroboscopically	ADV
ap-7738	112	19	at	at	ADP
ap-7738	112	20	tm	tm	PROPN
ap-7738	112	21	=	=	PROPN
ap-7738	112	22	mt	mt	PROPN
ap-7738	112	23	.	.	PUNCT
ap-7738	113	1	on	on	ADP
ap-7738	113	2	the	the	DET
ap-7738	113	3	other	other	ADJ
ap-7738	113	4	hand	hand	NOUN
ap-7738	113	5	η2(t	η2(t	PROPN
ap-7738	113	6	)	)	PUNCT
ap-7738	113	7	,	,	PUNCT
ap-7738	113	8	shown	show	VERB
ap-7738	113	9	in	in	ADP
ap-7738	113	10	figure	figure	NOUN
ap-7738	113	11	1b	1b	NUM
ap-7738	113	12	,	,	PUNCT
ap-7738	113	13	has	have	VERB
ap-7738	113	14	a	a	DET
ap-7738	113	15	periodic	periodic	ADJ
ap-7738	113	16	behavior	behavior	NOUN
ap-7738	113	17	with	with	ADP
ap-7738	113	18	a	a	DET
ap-7738	113	19	period	period	NOUN
ap-7738	113	20	∼	∼	NOUN
ap-7738	113	21	30	30	NUM
ap-7738	113	22	t	t	NOUN
ap-7738	113	23	(	(	PUNCT
ap-7738	113	24	not	not	PART
ap-7738	113	25	shown	show	VERB
ap-7738	113	26	)	)	PUNCT
ap-7738	113	27	.	.	PUNCT
ap-7738	114	1	although	although	SCONJ
ap-7738	114	2	η2(t	η2(t	PROPN
ap-7738	114	3	)	)	PUNCT
ap-7738	114	4	varies	vary	VERB
ap-7738	114	5	with	with	ADP
ap-7738	114	6	time	time	NOUN
ap-7738	114	7	,	,	PUNCT
ap-7738	114	8	it	it	PRON
ap-7738	114	9	is	be	AUX
ap-7738	114	10	stroboscopically	stroboscopically	ADV
ap-7738	114	11	conserved	conserve	VERB
ap-7738	114	12	,	,	PUNCT
ap-7738	114	13	η2(tm	η2(tm	NOUN
ap-7738	114	14	)	)	PUNCT
ap-7738	114	15	=	=	SYM
ap-7738	115	1	1	1	X
ap-7738	115	2	.	.	PUNCT
ap-7738	116	1	the	the	DET
ap-7738	116	2	dotted	dotted	ADJ
ap-7738	116	3	red	red	ADJ
ap-7738	116	4	line	line	NOUN
ap-7738	116	5	shows	show	VERB
ap-7738	116	6	ℜλt	ℜλt	PROPN
ap-7738	116	7	2	2	NUM
ap-7738	116	8	=	=	SYM
ap-7738	116	9	1	1	X
ap-7738	116	10	.	.	PUNCT
ap-7738	117	1	figure	figure	NOUN
ap-7738	117	2	1c	1c	NUM
ap-7738	117	3	shows	show	VERB
ap-7738	117	4	that	that	SCONJ
ap-7738	117	5	the	the	DET
ap-7738	117	6	real	real	ADJ
ap-7738	117	7	part	part	NOUN
ap-7738	117	8	of	of	ADP
ap-7738	117	9	η+(t	η+(t	NOUN
ap-7738	117	10	)	)	PUNCT
ap-7738	117	11	,	,	PUNCT
ap-7738	117	12	with	with	ADP
ap-7738	117	13	eigenvalue	eigenvalue	PROPN
ap-7738	117	14	λ3	λ3	PROPN
ap-7738	117	15	=	=	SYM
ap-7738	118	1	−0.44	−0.44	ADP
ap-7738	118	2	+	+	NUM
ap-7738	118	3	0.9i	0.9i	NUM
ap-7738	118	4	,	,	PUNCT
ap-7738	118	5	also	also	ADV
ap-7738	118	6	shows	show	VERB
ap-7738	118	7	periodic	periodic	ADJ
ap-7738	118	8	variation	variation	NOUN
ap-7738	118	9	.	.	PUNCT
ap-7738	119	1	the	the	DET
ap-7738	119	2	dotted	dotted	ADJ
ap-7738	119	3	black	black	ADJ
ap-7738	119	4	line	line	NOUN
ap-7738	119	5	shows	show	VERB
ap-7738	119	6	ℜλt	ℜλt	PROPN
ap-7738	119	7	3	3	NUM
ap-7738	119	8	,	,	PUNCT
ap-7738	119	9	and	and	CCONJ
ap-7738	119	10	the	the	DET
ap-7738	119	11	fact	fact	NOUN
ap-7738	119	12	that	that	SCONJ
ap-7738	119	13	ℜη+(tm	ℜη+(tm	NOUN
ap-7738	119	14	)	)	PUNCT
ap-7738	119	15	matches	match	VERB
ap-7738	119	16	it	it	PRON
ap-7738	119	17	stroboscopically	stroboscopically	ADV
ap-7738	119	18	confirms	confirm	VERB
ap-7738	119	19	the	the	DET
ap-7738	119	20	simple	simple	ADJ
ap-7738	119	21	sinousoidal	sinousoidal	ADJ
ap-7738	119	22	variation	variation	NOUN
ap-7738	119	23	of	of	ADP
ap-7738	119	24	this	this	DET
ap-7738	119	25	eigen	eigen	NOUN
ap-7738	119	26	-	-	PUNCT
ap-7738	119	27	operator	operator	NOUN
ap-7738	119	28	.	.	PUNCT
ap-7738	120	1	figure	figure	NOUN
ap-7738	120	2	1d	1d	PROPN
ap-7738	120	3	shows	show	VERB
ap-7738	120	4	corresponding	corresponding	ADJ
ap-7738	120	5	results	result	NOUN
ap-7738	120	6	for	for	ADP
ap-7738	120	7	the	the	DET
ap-7738	120	8	fourth	fourth	ADJ
ap-7738	120	9	operator	operator	NOUN
ap-7738	120	10	η̂−	η̂−	PROPN
ap-7738	120	11	=	=	PUNCT
ap-7738	121	1	η̂†	η̂†	NOUN
ap-7738	121	2	+	+	CCONJ
ap-7738	121	3	with	with	ADP
ap-7738	121	4	eigenvalue	eigenvalue	ADJ
ap-7738	121	5	λ4	λ4	NOUN
ap-7738	121	6	=	=	PUNCT
ap-7738	122	1	−0.44	−0.44	ADP
ap-7738	122	2	−	−	NOUN
ap-7738	122	3	0.9i	0.9i	NUM
ap-7738	122	4	.	.	PUNCT
ap-7738	123	1	we	we	PRON
ap-7738	123	2	conclude	conclude	VERB
ap-7738	123	3	this	this	DET
ap-7738	123	4	section	section	NOUN
ap-7738	123	5	with	with	ADP
ap-7738	123	6	transformation	transformation	NOUN
ap-7738	123	7	properties	property	NOUN
ap-7738	123	8	of	of	ADP
ap-7738	123	9	gf	gf	PROPN
ap-7738	123	10	(	(	PUNCT
ap-7738	123	11	t	t	PROPN
ap-7738	123	12	)	)	PUNCT
ap-7738	123	13	and	and	CCONJ
ap-7738	123	14	the	the	DET
ap-7738	123	15	conserved	conserve	VERB
ap-7738	123	16	operators	operator	NOUN
ap-7738	123	17	η̂.	η̂.	VERB
ap-7738	123	18	when	when	SCONJ
ap-7738	123	19	the	the	DET
ap-7738	123	20	periodic	periodic	ADJ
ap-7738	123	21	hamiltonian	hamiltonian	NOUN
ap-7738	123	22	is	be	AUX
ap-7738	123	23	hermitian	hermitian	ADJ
ap-7738	123	24	,	,	PUNCT
ap-7738	123	25	i.e.	i.e.	X
ap-7738	123	26	h0(t	h0(t	X
ap-7738	123	27	)	)	PUNCT
ap-7738	123	28	=	=	PUNCT
ap-7738	123	29	h†	h†	ADJ
ap-7738	123	30	0(t	0(t	NUM
ap-7738	123	31	)	)	PUNCT
ap-7738	124	1	=	=	PUNCT
ap-7738	125	1	h0(t	h0(t	PROPN
ap-7738	125	2	+	+	X
ap-7738	125	3	t	t	PROPN
ap-7738	125	4	)	)	PUNCT
ap-7738	125	5	,	,	PUNCT
ap-7738	125	6	shifting	shift	VERB
ap-7738	125	7	the	the	DET
ap-7738	125	8	zero	zero	NUM
ap-7738	125	9	of	of	ADP
ap-7738	125	10	time	time	NOUN
ap-7738	125	11	to	to	ADP
ap-7738	125	12	t0	t0	PROPN
ap-7738	125	13	leads	lead	VERB
ap-7738	125	14	to	to	ADP
ap-7738	125	15	a	a	DET
ap-7738	125	16	unitary	unitary	ADJ
ap-7738	125	17	transformation	transformation	NOUN
ap-7738	125	18	,	,	PUNCT
ap-7738	125	19	gf	gf	PROPN
ap-7738	125	20	(	(	PUNCT
ap-7738	125	21	t	t	PROPN
ap-7738	125	22	+	+	CCONJ
ap-7738	125	23	t0	t0	PROPN
ap-7738	125	24	,	,	PUNCT
ap-7738	125	25	t0	t0	NOUN
ap-7738	125	26	)	)	PUNCT
ap-7738	126	1	=	=	SYM
ap-7738	126	2	u(t0)gf	u(t0)gf	PROPN
ap-7738	126	3	(	(	PUNCT
ap-7738	126	4	t	t	PROPN
ap-7738	126	5	)	)	PUNCT
ap-7738	126	6	u†(t0	u†(t0	PROPN
ap-7738	126	7	)	)	PUNCT
ap-7738	126	8	,	,	PUNCT
ap-7738	126	9	(	(	PUNCT
ap-7738	126	10	16	16	NUM
ap-7738	126	11	)	)	PUNCT
ap-7738	126	12	u(t0	u(t0	NOUN
ap-7738	126	13	)	)	PUNCT
ap-7738	126	14	=	=	SYM
ap-7738	127	1	te	te	ADP
ap-7738	127	2	−i	−i	PROPN
ap-7738	127	3	∫	∫	PROPN
ap-7738	128	1	t0	t0	PROPN
ap-7738	128	2	0	0	PUNCT
ap-7738	129	1	h0(t′)dt′	h0(t′)dt′	X
ap-7738	129	2	.	.	PUNCT
ap-7738	130	1	(	(	PUNCT
ap-7738	130	2	17	17	NUM
ap-7738	130	3	)	)	SYM
ap-7738	130	4	3	3	NUM
ap-7738	130	5	k.	k.	PROPN
ap-7738	130	6	s.	s.	PROPN
ap-7738	130	7	agarwal	agarwal	PROPN
ap-7738	130	8	,	,	PUNCT
ap-7738	130	9	j.	j.	PROPN
ap-7738	130	10	muldoon	muldoon	PROPN
ap-7738	130	11	,	,	PUNCT
ap-7738	130	12	y.	y.	PROPN
ap-7738	130	13	n.	n.	PROPN
ap-7738	130	14	joglekar	joglekar	PROPN
ap-7738	130	15	acta	acta	PROPN
ap-7738	130	16	polytechnica	polytechnica	PROPN
ap-7738	130	17	figure	figure	NOUN
ap-7738	130	18	1	1	NUM
ap-7738	130	19	.	.	PUNCT
ap-7738	130	20	conserved	conserve	VERB
ap-7738	130	21	quantities	quantity	NOUN
ap-7738	130	22	for	for	ADP
ap-7738	130	23	a	a	DET
ap-7738	130	24	floquet	floquet	NOUN
ap-7738	130	25	,	,	PUNCT
ap-7738	130	26	quantum	quantum	ADJ
ap-7738	130	27	pt	pt	NOUN
ap-7738	130	28	-symmetric	-symmetric	NOUN
ap-7738	130	29	dimer	dimer	NOUN
ap-7738	130	30	.	.	PUNCT
ap-7738	131	1	system	system	NOUN
ap-7738	131	2	parameters	parameter	NOUN
ap-7738	131	3	are	be	AUX
ap-7738	131	4	γ	γ	X
ap-7738	131	5	=	=	SYM
ap-7738	131	6	0.5j	0.5j	PROPN
ap-7738	131	7	,	,	PUNCT
ap-7738	131	8	jt	jt	PROPN
ap-7738	131	9	=	=	PROPN
ap-7738	131	10	1	1	NUM
ap-7738	131	11	,	,	PUNCT
ap-7738	131	12	|ψ(0)⟩	|ψ(0)⟩	VERB
ap-7738	131	13	=	=	SYM
ap-7738	132	1	|	|	NOUN
ap-7738	132	2	+	+	CCONJ
ap-7738	132	3	x⟩	x⟩	ADJ
ap-7738	132	4	,	,	PUNCT
ap-7738	132	5	and	and	CCONJ
ap-7738	132	6	ηα(t	ηα(t	PUNCT
ap-7738	132	7	)	)	PUNCT
ap-7738	132	8	denote	denote	NOUN
ap-7738	132	9	normalized	normalize	VERB
ap-7738	132	10	expectation	expectation	NOUN
ap-7738	132	11	values	value	NOUN
ap-7738	132	12	.	.	PUNCT
ap-7738	133	1	(	(	PUNCT
ap-7738	133	2	a	a	X
ap-7738	133	3	)	)	PUNCT
ap-7738	133	4	η̂1	η̂1	NOUN
ap-7738	133	5	=	=	SYM
ap-7738	134	1	σx	σx	NOUN
ap-7738	134	2	is	be	AUX
ap-7738	134	3	an	an	DET
ap-7738	134	4	eigen	eigen	NOUN
ap-7738	134	5	-	-	PUNCT
ap-7738	134	6	operator	operator	NOUN
ap-7738	134	7	of	of	ADP
ap-7738	134	8	g	g	NOUN
ap-7738	134	9	with	with	ADP
ap-7738	134	10	eigenvalue	eigenvalue	PROPN
ap-7738	134	11	λ1	λ1	PROPN
ap-7738	134	12	=	=	SYM
ap-7738	134	13	1	1	NUM
ap-7738	134	14	;	;	PUNCT
ap-7738	134	15	η1(t	η1(t	X
ap-7738	134	16	)	)	PUNCT
ap-7738	134	17	is	be	AUX
ap-7738	134	18	constant	constant	ADJ
ap-7738	134	19	.	.	PUNCT
ap-7738	135	1	(	(	PUNCT
ap-7738	135	2	b	b	X
ap-7738	135	3	)	)	PUNCT
ap-7738	135	4	η̂2	η̂2	NOUN
ap-7738	135	5	=	=	SYM
ap-7738	135	6	gx12	gx12	PROPN
ap-7738	135	7	+	+	NUM
ap-7738	135	8	gyσz	gyσz	NOUN
ap-7738	135	9	is	be	AUX
ap-7738	135	10	the	the	DET
ap-7738	135	11	second	second	ADJ
ap-7738	135	12	eigen	eigen	NOUN
ap-7738	135	13	-	-	PUNCT
ap-7738	135	14	operator	operator	NOUN
ap-7738	135	15	of	of	ADP
ap-7738	135	16	g	g	NOUN
ap-7738	135	17	with	with	ADP
ap-7738	135	18	λ2	λ2	NOUN
ap-7738	135	19	=	=	SYM
ap-7738	135	20	1	1	NUM
ap-7738	135	21	;	;	PUNCT
ap-7738	135	22	η2(t	η2(t	PROPN
ap-7738	135	23	)	)	PUNCT
ap-7738	135	24	oscillates	oscillate	NOUN
ap-7738	135	25	with	with	ADP
ap-7738	135	26	time	time	NOUN
ap-7738	135	27	,	,	PUNCT
ap-7738	135	28	but	but	CCONJ
ap-7738	135	29	is	be	AUX
ap-7738	135	30	stroboscopically	stroboscopically	ADV
ap-7738	135	31	constant	constant	ADJ
ap-7738	135	32	at	at	ADP
ap-7738	135	33	t	t	PROPN
ap-7738	135	34	/	/	SYM
ap-7738	135	35	t	t	NOUN
ap-7738	135	36	=	=	SYM
ap-7738	135	37	n	n	CCONJ
ap-7738	135	38	;	;	PUNCT
ap-7738	135	39	the	the	DET
ap-7738	135	40	dotted	dotted	ADJ
ap-7738	135	41	red	red	ADJ
ap-7738	135	42	line	line	NOUN
ap-7738	135	43	shows	show	VERB
ap-7738	135	44	ℜλt	ℜλt	PROPN
ap-7738	135	45	2	2	NUM
ap-7738	135	46	=	=	SYM
ap-7738	135	47	1	1	NUM
ap-7738	135	48	.	.	PUNCT
ap-7738	136	1	(	(	PUNCT
ap-7738	136	2	c	c	X
ap-7738	136	3	)	)	PUNCT
ap-7738	136	4	η̂+	η̂+	NUM
ap-7738	136	5	is	be	AUX
ap-7738	136	6	a	a	DET
ap-7738	136	7	non	non	ADJ
ap-7738	136	8	-	-	ADJ
ap-7738	136	9	hermitian	hermitian	ADJ
ap-7738	136	10	eigen	eigen	NOUN
ap-7738	136	11	-	-	PUNCT
ap-7738	136	12	operator	operator	NOUN
ap-7738	136	13	with	with	ADP
ap-7738	136	14	unit	unit	NOUN
ap-7738	136	15	-	-	PUNCT
ap-7738	136	16	length	length	NOUN
ap-7738	136	17	eigenvalue	eigenvalue	NOUN
ap-7738	136	18	λ3	λ3	PROPN
ap-7738	136	19	=	=	SYM
ap-7738	137	1	−0.44	−0.44	ADP
ap-7738	137	2	+	+	NUM
ap-7738	137	3	0.9i	0.9i	NUM
ap-7738	137	4	.	.	PUNCT
ap-7738	138	1	the	the	DET
ap-7738	138	2	real	real	ADJ
ap-7738	138	3	part	part	NOUN
ap-7738	138	4	of	of	ADP
ap-7738	138	5	its	its	PRON
ap-7738	138	6	normalized	normalized	ADJ
ap-7738	138	7	expectation	expectation	NOUN
ap-7738	138	8	value	value	NOUN
ap-7738	138	9	stroboscopically	stroboscopically	ADV
ap-7738	138	10	matches	match	VERB
ap-7738	138	11	ℜλt	ℜλt	PROPN
ap-7738	138	12	3	3	NUM
ap-7738	138	13	shown	show	VERB
ap-7738	138	14	in	in	ADP
ap-7738	138	15	dotted	dotted	ADJ
ap-7738	138	16	black	black	NOUN
ap-7738	138	17	.	.	PUNCT
ap-7738	139	1	(	(	PUNCT
ap-7738	139	2	d	d	X
ap-7738	139	3	)	)	PUNCT
ap-7738	139	4	corresponding	corresponding	ADJ
ap-7738	139	5	result	result	NOUN
ap-7738	139	6	for	for	ADP
ap-7738	139	7	η̂−	η̂−	PROPN
ap-7738	139	8	=	=	PUNCT
ap-7738	140	1	η̂†	η̂†	NOUN
ap-7738	140	2	+	+	CCONJ
ap-7738	140	3	with	with	ADP
ap-7738	140	4	eigenvalue	eigenvalue	ADJ
ap-7738	140	5	λ4	λ4	PROPN
ap-7738	140	6	=	=	SYM
ap-7738	140	7	λ∗	λ∗	PROPN
ap-7738	140	8	3	3	X
ap-7738	140	9	.	.	PUNCT
ap-7738	140	10	therefore	therefore	ADV
ap-7738	140	11	the	the	DET
ap-7738	140	12	conserved	conserve	VERB
ap-7738	140	13	operators	operator	NOUN
ap-7738	140	14	are	be	AUX
ap-7738	140	15	also	also	ADV
ap-7738	140	16	unitarily	unitarily	ADV
ap-7738	140	17	transformed	transform	VERB
ap-7738	140	18	.	.	PUNCT
ap-7738	141	1	however	however	ADV
ap-7738	141	2	,	,	PUNCT
ap-7738	141	3	in	in	ADP
ap-7738	141	4	our	our	PRON
ap-7738	141	5	case	case	NOUN
ap-7738	141	6	,	,	PUNCT
ap-7738	141	7	eq	eq	NOUN
ap-7738	141	8	.	.	PUNCT
ap-7738	142	1	(	(	PUNCT
ap-7738	142	2	16	16	NUM
ap-7738	142	3	)	)	PUNCT
ap-7738	142	4	becomes	become	VERB
ap-7738	142	5	a	a	DET
ap-7738	142	6	similarity	similarity	NOUN
ap-7738	142	7	transformation	transformation	NOUN
ap-7738	142	8	,	,	PUNCT
ap-7738	142	9	gf	gf	PROPN
ap-7738	142	10	(	(	PUNCT
ap-7738	142	11	t	t	PROPN
ap-7738	142	12	+	+	CCONJ
ap-7738	142	13	t0	t0	PROPN
ap-7738	142	14	,	,	PUNCT
ap-7738	142	15	t0	t0	NOUN
ap-7738	142	16	)	)	PUNCT
ap-7738	143	1	=	=	SYM
ap-7738	143	2	sgf	sgf	X
ap-7738	143	3	(	(	PUNCT
ap-7738	143	4	t	t	NOUN
ap-7738	143	5	)	)	PUNCT
ap-7738	143	6	s−1	s−1	PROPN
ap-7738	143	7	where	where	SCONJ
ap-7738	143	8	s	s	VERB
ap-7738	143	9	=	=	X
ap-7738	143	10	t	t	PROPN
ap-7738	143	11	exp(−i	exp(−i	PROPN
ap-7738	143	12	∫	∫	PROPN
ap-7738	144	1	t0	t0	NOUN
ap-7738	144	2	0	0	PUNCT
ap-7738	145	1	hpt(t′)dt′	hpt(t′)dt′	NOUN
ap-7738	145	2	)	)	PUNCT
ap-7738	145	3	does	do	AUX
ap-7738	145	4	not	not	PART
ap-7738	145	5	satisfy	satisfy	VERB
ap-7738	145	6	s†s	s†s	PROPN
ap-7738	145	7	=	=	SYM
ap-7738	145	8	1	1	NUM
ap-7738	145	9	=	=	NOUN
ap-7738	145	10	ss†.	ss†.	PROPN
ap-7738	145	11	under	under	ADP
ap-7738	145	12	this	this	DET
ap-7738	145	13	transformation	transformation	NOUN
ap-7738	145	14	,	,	PUNCT
ap-7738	145	15	the	the	DET
ap-7738	145	16	conserved	conserve	VERB
ap-7738	145	17	operators	operator	NOUN
ap-7738	145	18	change	change	VERB
ap-7738	145	19	as	as	ADP
ap-7738	145	20	η̂	η̂	X
ap-7738	145	21	→	→	SYM
ap-7738	145	22	s−1†η̂s−1	s−1†η̂s−1	NOUN
ap-7738	145	23	.	.	PUNCT
ap-7738	146	1	this	this	DET
ap-7738	146	2	non	non	ADJ
ap-7738	146	3	-	-	ADJ
ap-7738	146	4	unitary	unitary	ADJ
ap-7738	146	5	transformation	transformation	NOUN
ap-7738	146	6	of	of	ADP
ap-7738	146	7	the	the	DET
ap-7738	146	8	conserved	conserve	VERB
ap-7738	146	9	quantities	quantity	NOUN
ap-7738	146	10	under	under	ADP
ap-7738	146	11	a	a	DET
ap-7738	146	12	shift	shift	NOUN
ap-7738	146	13	of	of	ADP
ap-7738	146	14	zero	zero	NUM
ap-7738	146	15	of	of	ADP
ap-7738	146	16	time	time	NOUN
ap-7738	146	17	suggests	suggest	VERB
ap-7738	146	18	that	that	SCONJ
ap-7738	146	19	they	they	PRON
ap-7738	146	20	are	be	AUX
ap-7738	146	21	not	not	PART
ap-7738	146	22	related	relate	VERB
ap-7738	146	23	to	to	ADP
ap-7738	146	24	“	"	PUNCT
ap-7738	146	25	symmetries	symmetry	NOUN
ap-7738	146	26	”	"	PUNCT
ap-7738	146	27	of	of	ADP
ap-7738	146	28	the	the	DET
ap-7738	146	29	open	open	ADJ
ap-7738	146	30	system	system	NOUN
ap-7738	146	31	with	with	ADP
ap-7738	146	32	balanced	balanced	ADJ
ap-7738	146	33	gain	gain	NOUN
ap-7738	146	34	and	and	CCONJ
ap-7738	146	35	loss	loss	NOUN
ap-7738	146	36	.	.	PUNCT
ap-7738	147	1	4	4	X
ap-7738	147	2	.	.	X
ap-7738	147	3	classical	classical	ADJ
ap-7738	147	4	pt	pt	NOUN
ap-7738	147	5	-symmetric	-symmetric	ADJ
ap-7738	147	6	dimer	dimer	NOUN
ap-7738	147	7	we	we	PRON
ap-7738	147	8	now	now	ADV
ap-7738	147	9	consider	consider	VERB
ap-7738	147	10	a	a	DET
ap-7738	147	11	different	different	ADJ
ap-7738	147	12	example	example	NOUN
ap-7738	147	13	characterized	characterize	VERB
ap-7738	147	14	by	by	ADP
ap-7738	147	15	a	a	DET
ap-7738	147	16	non	non	ADJ
ap-7738	147	17	-	-	ADJ
ap-7738	147	18	hermitian	hermitian	ADJ
ap-7738	147	19	hamiltonian	hamiltonian	NOUN
ap-7738	147	20	with	with	ADP
ap-7738	147	21	purely	purely	ADV
ap-7738	147	22	imaginary	imaginary	ADJ
ap-7738	147	23	entries	entry	NOUN
ap-7738	147	24	.	.	PUNCT
ap-7738	148	1	we	we	PRON
ap-7738	148	2	call	call	VERB
ap-7738	148	3	such	such	DET
ap-7738	148	4	a	a	DET
ap-7738	148	5	system	system	NOUN
ap-7738	148	6	“	"	PUNCT
ap-7738	148	7	classical	classical	ADJ
ap-7738	148	8	”	"	PUNCT
ap-7738	148	9	because	because	SCONJ
ap-7738	148	10	having	have	VERB
ap-7738	148	11	hpt	hpt	NOUN
ap-7738	148	12	=	=	SYM
ap-7738	148	13	−h∗	−h∗	PROPN
ap-7738	148	14	pt	pt	NOUN
ap-7738	148	15	ensures	ensure	VERB
ap-7738	148	16	that	that	SCONJ
ap-7738	148	17	the	the	DET
ap-7738	148	18	non	non	ADJ
ap-7738	148	19	-	-	ADJ
ap-7738	148	20	unitary	unitary	ADJ
ap-7738	148	21	time	time	NOUN
ap-7738	148	22	evolution	evolution	NOUN
ap-7738	148	23	operator	operator	NOUN
ap-7738	148	24	exp(−ihptt	exp(−ihptt	NOUN
ap-7738	148	25	)	)	PUNCT
ap-7738	148	26	is	be	AUX
ap-7738	148	27	purely	purely	ADV
ap-7738	148	28	real	real	ADJ
ap-7738	148	29	,	,	PUNCT
ap-7738	148	30	and	and	CCONJ
ap-7738	148	31	therefore	therefore	ADV
ap-7738	148	32	|ψ(t)⟩	|ψ(t)⟩	PROPN
ap-7738	148	33	remains	remain	VERB
ap-7738	148	34	real	real	ADJ
ap-7738	148	35	if	if	SCONJ
ap-7738	148	36	|ψ(0)⟩	|ψ(0)⟩	ADJ
ap-7738	148	37	is	be	AUX
ap-7738	148	38	.	.	PUNCT
ap-7738	149	1	such	such	ADJ
ap-7738	149	2	classical	classical	ADJ
ap-7738	149	3	hamiltonian	hamiltonian	NOUN
ap-7738	149	4	arises	arise	VERB
ap-7738	149	5	naturally	naturally	ADV
ap-7738	149	6	in	in	ADP
ap-7738	149	7	describing	describe	VERB
ap-7738	149	8	the	the	DET
ap-7738	149	9	energy	energy	NOUN
ap-7738	149	10	density	density	NOUN
ap-7738	149	11	dynamics	dynamic	NOUN
ap-7738	149	12	in	in	ADP
ap-7738	149	13	mechanical	mechanical	ADJ
ap-7738	149	14	or	or	CCONJ
ap-7738	149	15	electrical	electrical	ADJ
ap-7738	149	16	circuits	circuit	NOUN
ap-7738	149	17	[	[	X
ap-7738	149	18	23–26	23–26	NUM
ap-7738	149	19	,	,	PUNCT
ap-7738	149	20	28	28	NUM
ap-7738	149	21	]	]	PUNCT
ap-7738	149	22	,	,	PUNCT
ap-7738	149	23	where	where	SCONJ
ap-7738	149	24	|ψ(t)⟩	|ψ(t)⟩	PROPN
ap-7738	149	25	encodes	encode	VERB
ap-7738	149	26	time	time	NOUN
ap-7738	149	27	-	-	PUNCT
ap-7738	149	28	dependent	dependent	ADJ
ap-7738	149	29	positions	position	NOUN
ap-7738	149	30	,	,	PUNCT
ap-7738	149	31	velocities	velocity	NOUN
ap-7738	149	32	,	,	PUNCT
ap-7738	149	33	voltages	voltage	NOUN
ap-7738	149	34	,	,	PUNCT
ap-7738	149	35	currents	current	NOUN
ap-7738	149	36	,	,	PUNCT
ap-7738	149	37	etc	etc	X
ap-7738	149	38	.	.	X
ap-7738	149	39	and	and	CCONJ
ap-7738	149	40	is	be	AUX
ap-7738	149	41	obviously	obviously	ADV
ap-7738	149	42	real	real	ADJ
ap-7738	149	43	.	.	PUNCT
ap-7738	150	1	as	as	ADP
ap-7738	150	2	its	its	PRON
ap-7738	150	3	simplest	simple	ADJ
ap-7738	150	4	model	model	NOUN
ap-7738	150	5	,	,	PUNCT
ap-7738	150	6	we	we	PRON
ap-7738	150	7	consider	consider	VERB
ap-7738	150	8	a	a	DET
ap-7738	150	9	dimer	dimer	NOUN
ap-7738	150	10	governed	govern	VERB
ap-7738	150	11	by	by	ADP
ap-7738	150	12	the	the	DET
ap-7738	150	13	hamiltonian	hamiltonian	PROPN
ap-7738	150	14	h2(t	h2(t	PROPN
ap-7738	150	15	)	)	PUNCT
ap-7738	150	16	=	=	VERB
ap-7738	151	1	jσy	jσy	PROPN
ap-7738	152	1	+	+	CCONJ
ap-7738	152	2	iγf(t)σz	iγf(t)σz	PROPN
ap-7738	152	3	=	=	SYM
ap-7738	152	4	−h∗	−h∗	PROPN
ap-7738	152	5	2	2	NUM
ap-7738	152	6	.	.	PUNCT
ap-7738	153	1	(	(	PUNCT
ap-7738	153	2	18	18	NUM
ap-7738	153	3	)	)	PUNCT
ap-7738	153	4	on	on	ADP
ap-7738	153	5	one	one	NUM
ap-7738	153	6	level	level	NOUN
ap-7738	153	7	,	,	PUNCT
ap-7738	153	8	the	the	DET
ap-7738	153	9	hamiltonian	hamiltonian	NOUN
ap-7738	153	10	h2(t	h2(t	PROPN
ap-7738	153	11	)	)	PUNCT
ap-7738	153	12	,	,	PUNCT
ap-7738	153	13	eq	eq	NOUN
ap-7738	153	14	.	.	PUNCT
ap-7738	154	1	(	(	PUNCT
ap-7738	154	2	18	18	NUM
ap-7738	154	3	)	)	PUNCT
ap-7738	154	4	,	,	PUNCT
ap-7738	154	5	is	be	AUX
ap-7738	154	6	“	"	PUNCT
ap-7738	154	7	just	just	ADV
ap-7738	154	8	a	a	DET
ap-7738	154	9	change	change	NOUN
ap-7738	154	10	of	of	ADP
ap-7738	154	11	basis	basis	NOUN
ap-7738	154	12	”	"	PUNCT
ap-7738	154	13	from	from	ADP
ap-7738	154	14	h1(t	h1(t	PROPN
ap-7738	154	15	)	)	PUNCT
ap-7738	154	16	,	,	PUNCT
ap-7738	154	17	eq	eq	NOUN
ap-7738	154	18	.	.	PUNCT
ap-7738	155	1	(	(	PUNCT
ap-7738	155	2	9	9	NUM
ap-7738	155	3	)	)	PUNCT
ap-7738	155	4	;	;	PUNCT
ap-7738	155	5	h2(t	h2(t	X
ap-7738	155	6	)	)	PUNCT
ap-7738	155	7	=	=	SYM
ap-7738	155	8	exp(−iπσz/4)h1(t	exp(−iπσz/4)h1(t	X
ap-7738	155	9	)	)	PUNCT
ap-7738	155	10	exp(+iπσz/4	exp(+iπσz/4	PROPN
ap-7738	155	11	)	)	PUNCT
ap-7738	155	12	.	.	PUNCT
ap-7738	156	1	however	however	ADV
ap-7738	156	2	,	,	PUNCT
ap-7738	156	3	since	since	SCONJ
ap-7738	156	4	h2(t	h2(t	NOUN
ap-7738	156	5	)	)	PUNCT
ap-7738	156	6	models	model	NOUN
ap-7738	156	7	effective	effective	ADJ
ap-7738	156	8	,	,	PUNCT
ap-7738	156	9	classical	classical	ADJ
ap-7738	156	10	systems	system	NOUN
ap-7738	156	11	where	where	SCONJ
ap-7738	156	12	the	the	DET
ap-7738	156	13	entire	entire	ADJ
ap-7738	156	14	complex	complex	ADJ
ap-7738	156	15	state	state	NOUN
ap-7738	156	16	space	space	NOUN
ap-7738	156	17	is	be	AUX
ap-7738	156	18	physically	physically	ADV
ap-7738	156	19	accessible	accessible	ADJ
ap-7738	156	20	,	,	PUNCT
ap-7738	156	21	it	it	PRON
ap-7738	156	22	is	be	AUX
ap-7738	156	23	necessary	necessary	ADJ
ap-7738	156	24	to	to	PART
ap-7738	156	25	treat	treat	VERB
ap-7738	156	26	it	it	PRON
ap-7738	156	27	differently	differently	ADV
ap-7738	156	28	.	.	PUNCT
ap-7738	157	1	a	a	DET
ap-7738	157	2	physical	physical	ADJ
ap-7738	157	3	realization	realization	NOUN
ap-7738	157	4	of	of	ADP
ap-7738	157	5	h2(t	h2(t	PROPN
ap-7738	157	6	)	)	PUNCT
ap-7738	157	7	is	be	AUX
ap-7738	157	8	found	find	VERB
ap-7738	157	9	in	in	ADP
ap-7738	157	10	a	a	DET
ap-7738	157	11	single	single	ADJ
ap-7738	157	12	lc	lc	NOUN
ap-7738	157	13	circuit	circuit	NOUN
ap-7738	157	14	whose	whose	DET
ap-7738	157	15	inductance	inductance	NOUN
ap-7738	157	16	l(t	l(t	NOUN
ap-7738	157	17	)	)	PUNCT
ap-7738	157	18	and	and	CCONJ
ap-7738	157	19	capacitance	capacitance	NOUN
ap-7738	157	20	c(t	c(t	PROPN
ap-7738	157	21	)	)	PUNCT
ap-7738	157	22	are	be	AUX
ap-7738	157	23	varied	varied	ADJ
ap-7738	157	24	such	such	ADJ
ap-7738	157	25	that	that	SCONJ
ap-7738	157	26	its	its	PRON
ap-7738	157	27	characteristic	characteristic	ADJ
ap-7738	157	28	frequency	frequency	NOUN
ap-7738	157	29	j	j	PROPN
ap-7738	157	30	=	=	SYM
ap-7738	157	31	1/	1/	NUM
ap-7738	157	32	√	√	NUM
ap-7738	157	33	l(t)c(t	l(t)c(t	NUM
ap-7738	157	34	)	)	PUNCT
ap-7738	157	35	remains	remain	VERB
ap-7738	157	36	constant	constant	ADJ
ap-7738	158	1	[	[	X
ap-7738	158	2	25	25	NUM
ap-7738	158	3	]	]	PUNCT
ap-7738	158	4	.	.	PUNCT
ap-7738	159	1	hamiltonian	hamiltonian	PROPN
ap-7738	159	2	h2(t	h2(t	PROPN
ap-7738	159	3	)	)	PUNCT
ap-7738	159	4	is	be	AUX
ap-7738	159	5	pt	pt	X
ap-7738	159	6	-symmetric	-symmetric	NOUN
ap-7738	159	7	with	with	ADP
ap-7738	159	8	pt	pt	NOUN
ap-7738	159	9	=	=	SYM
ap-7738	159	10	σx∗.	σx∗.	PROPN
ap-7738	159	11	in	in	ADP
ap-7738	159	12	the	the	DET
ap-7738	159	13	static	static	ADJ
ap-7738	159	14	case	case	NOUN
ap-7738	159	15	(	(	PUNCT
ap-7738	159	16	f(t	f(t	PROPN
ap-7738	159	17	)	)	PUNCT
ap-7738	159	18	=	=	SYM
ap-7738	159	19	1	1	NUM
ap-7738	159	20	)	)	PUNCT
ap-7738	159	21	,	,	PUNCT
ap-7738	159	22	the	the	DET
ap-7738	159	23	two	two	NUM
ap-7738	159	24	,	,	PUNCT
ap-7738	159	25	hermitian	hermitian	ADJ
ap-7738	159	26	intertwining	intertwine	VERB
ap-7738	159	27	operators	operator	NOUN
ap-7738	159	28	are	be	AUX
ap-7738	159	29	given	give	VERB
ap-7738	159	30	by	by	ADP
ap-7738	159	31	η̂1	η̂1	NOUN
ap-7738	159	32	=	=	SYM
ap-7738	159	33	σy	σy	NOUN
ap-7738	159	34	and	and	CCONJ
ap-7738	159	35	η̂2	η̂2	NOUN
ap-7738	159	36	=	=	NOUN
ap-7738	159	37	η̂1h2	η̂1h2	PROPN
ap-7738	159	38	/	/	SYM
ap-7738	159	39	j	j	PROPN
ap-7738	159	40	=	=	NOUN
ap-7738	159	41	12	12	NUM
ap-7738	159	42	−	−	PROPN
ap-7738	159	43	(	(	PUNCT
ap-7738	159	44	γ	γ	X
ap-7738	159	45	/	/	SYM
ap-7738	159	46	j)σx	j)σx	PROPN
ap-7738	159	47	.	.	PUNCT
ap-7738	160	1	in	in	ADP
ap-7738	160	2	addition	addition	NOUN
ap-7738	160	3	,	,	PUNCT
ap-7738	160	4	the	the	DET
ap-7738	160	5	vectorization	vectorization	NOUN
ap-7738	160	6	approach	approach	NOUN
ap-7738	160	7	gives	give	VERB
ap-7738	160	8	two	two	NUM
ap-7738	160	9	,	,	PUNCT
ap-7738	160	10	rank-1	rank-1	CCONJ
ap-7738	160	11	eigen	eigen	NOUN
ap-7738	160	12	-	-	PUNCT
ap-7738	160	13	operators	operator	NOUN
ap-7738	160	14	η̂±	η̂±	PROPN
ap-7738	160	15	=	=	SYM
ap-7738	160	16	1	1	NUM
ap-7738	160	17	j2	j2	NOUN
ap-7738	160	18	[	[	PUNCT
ap-7738	160	19	(	(	PUNCT
ap-7738	160	20	γ	γ	PROPN
ap-7738	160	21	±	±	PROPN
ap-7738	160	22	i∆)2	i∆)2	PROPN
ap-7738	160	23	−(γ	−(γ	PROPN
ap-7738	160	24	±	±	NOUN
ap-7738	160	25	i∆	i∆	NOUN
ap-7738	160	26	)	)	PUNCT
ap-7738	160	27	−(γ	−(γ	ADJ
ap-7738	160	28	±	±	NOUN
ap-7738	160	29	i∆	i∆	NOUN
ap-7738	160	30	)	)	PUNCT
ap-7738	160	31	1	1	NUM
ap-7738	160	32	]	]	PUNCT
ap-7738	160	33	,	,	PUNCT
ap-7738	160	34	(	(	PUNCT
ap-7738	160	35	19	19	NUM
ap-7738	160	36	)	)	PUNCT
ap-7738	160	37	with	with	ADP
ap-7738	160	38	eigenvalues	eigenvalue	NOUN
ap-7738	160	39	e±	e±	PROPN
ap-7738	160	40	=	=	SYM
ap-7738	160	41	±2i∆.	±2i∆.	PROPN
ap-7738	160	42	as	as	SCONJ
ap-7738	160	43	we	we	PRON
ap-7738	160	44	discussed	discuss	VERB
ap-7738	160	45	in	in	ADP
ap-7738	160	46	section	section	NOUN
ap-7738	160	47	3	3	NUM
ap-7738	160	48	,	,	PUNCT
ap-7738	160	49	these	these	DET
ap-7738	160	50	operators	operator	NOUN
ap-7738	160	51	are	be	AUX
ap-7738	160	52	not	not	PART
ap-7738	160	53	hermitian	hermitian	ADJ
ap-7738	160	54	in	in	ADP
ap-7738	160	55	the	the	DET
ap-7738	160	56	pt	pt	NOUN
ap-7738	160	57	-symmetric	-symmetric	ADJ
ap-7738	160	58	phase	phase	NOUN
ap-7738	160	59	,	,	PUNCT
ap-7738	160	60	and	and	CCONJ
ap-7738	160	61	become	become	VERB
ap-7738	160	62	hermitian	hermitian	ADJ
ap-7738	160	63	in	in	ADP
ap-7738	160	64	the	the	DET
ap-7738	160	65	pt	pt	NOUN
ap-7738	160	66	-broken	-broken	ADJ
ap-7738	160	67	phase	phase	NOUN
ap-7738	160	68	.	.	PUNCT
ap-7738	161	1	for	for	ADP
ap-7738	161	2	the	the	DET
ap-7738	161	3	floquet	floquet	PROPN
ap-7738	161	4	case	case	NOUN
ap-7738	161	5	,	,	PUNCT
ap-7738	161	6	we	we	PRON
ap-7738	161	7	choose	choose	VERB
ap-7738	161	8	a	a	DET
ap-7738	161	9	gain	gain	NOUN
ap-7738	161	10	-	-	PUNCT
ap-7738	161	11	loss	loss	NOUN
ap-7738	161	12	term	term	NOUN
ap-7738	161	13	that	that	PRON
ap-7738	161	14	is	be	AUX
ap-7738	161	15	nonzero	nonzero	ADJ
ap-7738	161	16	only	only	ADV
ap-7738	161	17	at	at	ADP
ap-7738	161	18	discrete	discrete	ADJ
ap-7738	161	19	times	time	NOUN
ap-7738	161	20	.	.	PUNCT
ap-7738	162	1	this	this	PRON
ap-7738	162	2	is	be	AUX
ap-7738	162	3	accomplished	accomplish	VERB
ap-7738	162	4	by	by	ADP
ap-7738	162	5	choosing	choose	VERB
ap-7738	162	6	the	the	DET
ap-7738	162	7	dimensionless	dimensionless	NOUN
ap-7738	162	8	function	function	NOUN
ap-7738	162	9	f(t	f(t	NOUN
ap-7738	162	10	)	)	PUNCT
ap-7738	162	11	as	as	ADP
ap-7738	162	12	f(t	f(t	NOUN
ap-7738	162	13	)	)	PUNCT
ap-7738	162	14	=	=	SYM
ap-7738	162	15	t	t	PROPN
ap-7738	163	1	[	[	X
ap-7738	163	2	δ(t	δ(t	X
ap-7738	163	3	)	)	PUNCT
ap-7738	163	4	−	−	NUM
ap-7738	163	5	δ(t−	δ(t−	NOUN
ap-7738	163	6	t/2	t/2	NUM
ap-7738	163	7	)	)	PUNCT
ap-7738	163	8	]	]	PUNCT
ap-7738	164	1	=	=	PUNCT
ap-7738	164	2	f(t+	f(t+	PROPN
ap-7738	164	3	t	t	PROPN
ap-7738	164	4	)	)	PUNCT
ap-7738	164	5	.	.	PUNCT
ap-7738	165	1	(	(	PUNCT
ap-7738	165	2	20	20	NUM
ap-7738	165	3	)	)	PUNCT
ap-7738	165	4	the	the	DET
ap-7738	165	5	resulting	result	VERB
ap-7738	165	6	floquet	floquet	NOUN
ap-7738	165	7	time	time	NOUN
ap-7738	165	8	-	-	PUNCT
ap-7738	165	9	evolution	evolution	NOUN
ap-7738	165	10	operator	operator	NOUN
ap-7738	165	11	gf	gf	X
ap-7738	165	12	(	(	PUNCT
ap-7738	165	13	t	t	PROPN
ap-7738	165	14	)	)	PUNCT
ap-7738	165	15	can	can	AUX
ap-7738	165	16	be	be	AUX
ap-7738	165	17	analytically	analytically	ADV
ap-7738	165	18	calculated	calculate	VERB
ap-7738	165	19	[	[	X
ap-7738	165	20	25	25	NUM
ap-7738	165	21	]	]	PUNCT
ap-7738	165	22	.	.	PUNCT
ap-7738	166	1	since	since	SCONJ
ap-7738	166	2	the	the	DET
ap-7738	166	3	hamiltonian	hamiltonian	NOUN
ap-7738	166	4	h2(t	h2(t	PROPN
ap-7738	166	5	)	)	PUNCT
ap-7738	166	6	is	be	AUX
ap-7738	166	7	hermitian	hermitian	ADJ
ap-7738	166	8	at	at	ADP
ap-7738	166	9	all	all	DET
ap-7738	166	10	times	time	NOUN
ap-7738	166	11	except	except	SCONJ
ap-7738	166	12	tk	tk	PROPN
ap-7738	166	13	=	=	PROPN
ap-7738	166	14	kt/2	kt/2	PROPN
ap-7738	166	15	,	,	PUNCT
ap-7738	166	16	the	the	DET
ap-7738	166	17	evolution	evolution	NOUN
ap-7738	166	18	is	be	AUX
ap-7738	166	19	mostly	mostly	ADV
ap-7738	166	20	unitary	unitary	ADJ
ap-7738	166	21	,	,	PUNCT
ap-7738	166	22	punctuated	punctuate	VERB
ap-7738	166	23	by	by	ADP
ap-7738	166	24	nonunitary	nonunitary	ADJ
ap-7738	166	25	contributions	contribution	NOUN
ap-7738	166	26	that	that	PRON
ap-7738	166	27	occur	occur	VERB
ap-7738	166	28	due	due	ADJ
ap-7738	166	29	to	to	ADP
ap-7738	166	30	δ	δ	NOUN
ap-7738	166	31	-	-	PUNCT
ap-7738	166	32	functions	function	NOUN
ap-7738	166	33	at	at	ADP
ap-7738	166	34	4	4	NUM
ap-7738	166	35	vol	vol	NOUN
ap-7738	166	36	.	.	PUNCT
ap-7738	167	1	62	62	NUM
ap-7738	167	2	no	no	INTJ
ap-7738	167	3	.	.	PUNCT
ap-7738	168	1	1/2022	1/2022	NUM
ap-7738	168	2	conserved	conserve	VERB
ap-7738	168	3	quantities	quantity	NOUN
ap-7738	168	4	in	in	ADP
ap-7738	168	5	non	non	ADJ
ap-7738	168	6	-	-	ADJ
ap-7738	168	7	hermitian	hermitian	ADJ
ap-7738	168	8	systems	systems	PROPN
ap-7738	168	9	times	times	PROPN
ap-7738	168	10	tk	tk	PROPN
ap-7738	168	11	.	.	PUNCT
ap-7738	169	1	the	the	DET
ap-7738	169	2	result	result	NOUN
ap-7738	169	3	is	be	AUX
ap-7738	169	4	gf	gf	PROPN
ap-7738	169	5	(	(	PUNCT
ap-7738	169	6	t	t	PROPN
ap-7738	169	7	)	)	PUNCT
ap-7738	169	8	=	=	PUNCT
ap-7738	169	9	e+γt	e+γt	PROPN
ap-7738	169	10	σze−ijt	σze−ijt	NOUN
ap-7738	169	11	σy/2e−γt	σy/2e−γt	PRON
ap-7738	169	12	σze−ijt	σze−ijt	NOUN
ap-7738	169	13	σy/2	σy/2	NOUN
ap-7738	169	14	=	=	SYM
ap-7738	169	15	g012	g012	PROPN
ap-7738	169	16	+	+	NUM
ap-7738	169	17	gxσx	gxσx	NOUN
ap-7738	169	18	+	+	CCONJ
ap-7738	169	19	igyσy	igyσy	ADJ
ap-7738	169	20	+	+	NOUN
ap-7738	169	21	gzσz	gzσz	NOUN
ap-7738	169	22	,	,	PUNCT
ap-7738	169	23	(	(	PUNCT
ap-7738	169	24	21	21	NUM
ap-7738	169	25	)	)	PUNCT
ap-7738	169	26	where	where	SCONJ
ap-7738	169	27	the	the	DET
ap-7738	169	28	four	four	NUM
ap-7738	169	29	real	real	ADJ
ap-7738	169	30	coefficients	coefficient	NOUN
ap-7738	169	31	gk	gk	PROPN
ap-7738	169	32	are	be	AUX
ap-7738	169	33	given	give	VERB
ap-7738	169	34	by	by	ADP
ap-7738	169	35	g0	g0	ADJ
ap-7738	169	36	=	=	SYM
ap-7738	169	37	cos2(jt/2	cos2(jt/2	PROPN
ap-7738	169	38	)	)	PUNCT
ap-7738	169	39	−	−	ADP
ap-7738	169	40	sin2(jt/2	sin2(jt/2	NOUN
ap-7738	169	41	)	)	PUNCT
ap-7738	169	42	cosh(2γt	cosh(2γt	NOUN
ap-7738	169	43	)	)	PUNCT
ap-7738	169	44	,	,	PUNCT
ap-7738	169	45	(	(	PUNCT
ap-7738	169	46	22	22	X
ap-7738	169	47	)	)	PUNCT
ap-7738	169	48	gx	gx	PROPN
ap-7738	169	49	=	=	SYM
ap-7738	169	50	−	−	PROPN
ap-7738	169	51	sin(jt	sin(jt	ADJ
ap-7738	169	52	)	)	PUNCT
ap-7738	169	53	sinh(2γt	sinh(2γt	NOUN
ap-7738	169	54	)	)	PUNCT
ap-7738	169	55	/2	/2	PROPN
ap-7738	169	56	,	,	PUNCT
ap-7738	169	57	(	(	PUNCT
ap-7738	169	58	23	23	NUM
ap-7738	169	59	)	)	PUNCT
ap-7738	169	60	gy	gy	NOUN
ap-7738	169	61	=	=	SYM
ap-7738	169	62	−	−	PROPN
ap-7738	169	63	sin(jt	sin(jt	VERB
ap-7738	169	64	)	)	PUNCT
ap-7738	170	1	[	[	X
ap-7738	170	2	1	1	NUM
ap-7738	170	3	+	+	NUM
ap-7738	170	4	cosh(2γt	cosh(2γt	NOUN
ap-7738	170	5	)	)	PUNCT
ap-7738	170	6	]	]	PUNCT
ap-7738	170	7	/2	/2	PUNCT
ap-7738	170	8	.	.	PUNCT
ap-7738	171	1	(	(	PUNCT
ap-7738	171	2	24	24	NUM
ap-7738	171	3	)	)	PUNCT
ap-7738	171	4	gz	gz	NOUN
ap-7738	171	5	=	=	SYM
ap-7738	171	6	−	−	PROPN
ap-7738	171	7	sin2(jt/2	sin2(jt/2	NOUN
ap-7738	171	8	)	)	PUNCT
ap-7738	171	9	sinh(2γt	sinh(2γt	NOUN
ap-7738	171	10	)	)	PUNCT
ap-7738	171	11	.	.	PUNCT
ap-7738	172	1	(	(	PUNCT
ap-7738	172	2	25	25	NUM
ap-7738	172	3	)	)	PUNCT
ap-7738	172	4	as	as	SCONJ
ap-7738	172	5	is	be	AUX
ap-7738	172	6	expected	expect	VERB
ap-7738	172	7	,	,	PUNCT
ap-7738	172	8	the	the	DET
ap-7738	172	9	purely	purely	ADV
ap-7738	172	10	real	real	ADJ
ap-7738	172	11	gf	gf	NOUN
ap-7738	172	12	(	(	PUNCT
ap-7738	172	13	t	t	PROPN
ap-7738	172	14	)	)	PUNCT
ap-7738	172	15	reduces	reduce	VERB
ap-7738	172	16	to	to	ADP
ap-7738	172	17	exp(−ijtσy	exp(−ijtσy	PROPN
ap-7738	172	18	)	)	PUNCT
ap-7738	172	19	in	in	ADP
ap-7738	172	20	the	the	DET
ap-7738	172	21	hermitian	hermitian	ADJ
ap-7738	172	22	limit	limit	NOUN
ap-7738	172	23	γ	γ	X
ap-7738	172	24	→	→	SYM
ap-7738	172	25	0	0	NUM
ap-7738	172	26	.	.	PUNCT
ap-7738	173	1	the	the	DET
ap-7738	173	2	ep	ep	PROPN
ap-7738	173	3	conoturs	conotur	VERB
ap-7738	173	4	,	,	PUNCT
ap-7738	173	5	on	on	ADP
ap-7738	173	6	the	the	DET
ap-7738	173	7	other	other	ADJ
ap-7738	173	8	hand	hand	NOUN
ap-7738	173	9	,	,	PUNCT
ap-7738	173	10	are	be	AUX
ap-7738	173	11	determined	determine	VERB
ap-7738	173	12	by	by	ADP
ap-7738	173	13	the	the	DET
ap-7738	173	14	constraint	constraint	NOUN
ap-7738	173	15	g2	g2	PROPN
ap-7738	173	16	x	x	PUNCT
ap-7738	174	1	+	+	CCONJ
ap-7738	174	2	g2	g2	PROPN
ap-7738	174	3	y	y	PROPN
ap-7738	174	4	−	−	PROPN
ap-7738	174	5	g2	g2	PROPN
ap-7738	174	6	z	z	PROPN
ap-7738	175	1	=	=	SYM
ap-7738	175	2	0	0	PROPN
ap-7738	175	3	,	,	PUNCT
ap-7738	175	4	which	which	PRON
ap-7738	175	5	reduces	reduce	VERB
ap-7738	175	6	to	to	ADP
ap-7738	175	7	cos(jt/2	cos(jt/2	NOUN
ap-7738	175	8	)	)	PUNCT
ap-7738	175	9	=	=	SYM
ap-7738	175	10	tanh(γt	tanh(γt	NOUN
ap-7738	175	11	)	)	PUNCT
ap-7738	176	1	[	[	X
ap-7738	176	2	25	25	NUM
ap-7738	176	3	]	]	PUNCT
ap-7738	176	4	.	.	PUNCT
ap-7738	177	1	two	two	NUM
ap-7738	177	2	linearly	linearly	ADV
ap-7738	177	3	independent	independent	ADJ
ap-7738	177	4	floquet	floquet	NOUN
ap-7738	177	5	intertwining	intertwine	VERB
ap-7738	177	6	operators	operator	NOUN
ap-7738	177	7	obtained	obtain	VERB
ap-7738	177	8	by	by	ADP
ap-7738	177	9	solving	solve	VERB
ap-7738	177	10	eq	eq	ADJ
ap-7738	177	11	.	.	PUNCT
ap-7738	177	12	(	(	PUNCT
ap-7738	177	13	7	7	X
ap-7738	177	14	)	)	PUNCT
ap-7738	177	15	are	be	AUX
ap-7738	177	16	given	give	VERB
ap-7738	177	17	by	by	ADP
ap-7738	177	18	η̂1	η̂1	NOUN
ap-7738	177	19	=	=	SYM
ap-7738	177	20	σy	σy	NOUN
ap-7738	177	21	and	and	CCONJ
ap-7738	177	22	η̂2	η̂2	NOUN
ap-7738	177	23	=	=	SYM
ap-7738	177	24	−i(η̂1gf	−i(η̂1gf	NOUN
ap-7738	177	25	−g†	−g†	ADJ
ap-7738	177	26	f	f	PROPN
ap-7738	177	27	η̂1)/2	η̂1)/2	VERB
ap-7738	177	28	.	.	PUNCT
ap-7738	178	1	the	the	DET
ap-7738	178	2	latter	latter	ADJ
ap-7738	178	3	simplifies	simplifie	NOUN
ap-7738	178	4	to	to	PART
ap-7738	178	5	η̂2	η̂2	VERB
ap-7738	178	6	=	=	SYM
ap-7738	178	7	gy12	gy12	PROPN
ap-7738	178	8	+	+	PROPN
ap-7738	178	9	gzσx	gzσx	PROPN
ap-7738	178	10	−gxσz	−gxσz	NOUN
ap-7738	178	11	.	.	PUNCT
ap-7738	179	1	we	we	PRON
ap-7738	179	2	leave	leave	VERB
ap-7738	179	3	it	it	PRON
ap-7738	179	4	for	for	SCONJ
ap-7738	179	5	the	the	DET
ap-7738	179	6	reader	reader	NOUN
ap-7738	179	7	to	to	PART
ap-7738	179	8	check	check	VERB
ap-7738	179	9	that	that	PRON
ap-7738	179	10	,	,	PUNCT
ap-7738	179	11	as	as	ADP
ap-7738	179	12	in	in	ADP
ap-7738	179	13	the	the	DET
ap-7738	179	14	case	case	NOUN
ap-7738	179	15	of	of	ADP
ap-7738	179	16	floquet	floquet	PROPN
ap-7738	179	17	quantum	quantum	PROPN
ap-7738	179	18	pt	pt	X
ap-7738	179	19	dimer	dimer	PROPN
ap-7738	179	20	problem	problem	NOUN
ap-7738	179	21	,	,	PUNCT
ap-7738	179	22	the	the	DET
ap-7738	179	23	symmetrized	symmetrize	VERB
ap-7738	179	24	version	version	NOUN
ap-7738	179	25	of	of	ADP
ap-7738	179	26	the	the	DET
ap-7738	179	27	recursive	recursive	ADJ
ap-7738	179	28	procedure	procedure	NOUN
ap-7738	179	29	,	,	PUNCT
ap-7738	179	30	eq	eq	NOUN
ap-7738	179	31	.	.	PUNCT
ap-7738	180	1	(	(	PUNCT
ap-7738	180	2	14	14	NUM
ap-7738	180	3	)	)	PUNCT
ap-7738	180	4	,	,	PUNCT
ap-7738	180	5	does	do	AUX
ap-7738	180	6	not	not	PART
ap-7738	180	7	lead	lead	VERB
ap-7738	180	8	to	to	ADP
ap-7738	180	9	a	a	DET
ap-7738	180	10	result	result	NOUN
ap-7738	180	11	that	that	PRON
ap-7738	180	12	is	be	AUX
ap-7738	180	13	linearly	linearly	ADV
ap-7738	180	14	independent	independent	ADJ
ap-7738	180	15	of	of	ADP
ap-7738	180	16	η̂1	η̂1	NOUN
ap-7738	180	17	.	.	PUNCT
ap-7738	181	1	following	follow	VERB
ap-7738	181	2	the	the	DET
ap-7738	181	3	recipe	recipe	NOUN
ap-7738	181	4	in	in	ADP
ap-7738	181	5	section	section	NOUN
ap-7738	181	6	2	2	NUM
ap-7738	181	7	,	,	PUNCT
ap-7738	181	8	we	we	PRON
ap-7738	181	9	supplement	supplement	VERB
ap-7738	181	10	these	these	DET
ap-7738	181	11	analytical	analytical	ADJ
ap-7738	181	12	results	result	NOUN
ap-7738	181	13	with	with	ADP
ap-7738	181	14	symbolic	symbolic	ADJ
ap-7738	181	15	or	or	CCONJ
ap-7738	181	16	numerical	numerical	ADJ
ap-7738	181	17	results	result	NOUN
ap-7738	181	18	for	for	ADP
ap-7738	181	19	four	four	NUM
ap-7738	181	20	eigenvalues	eigenvalue	NOUN
ap-7738	181	21	λk	λk	ADP
ap-7738	181	22	and	and	CCONJ
ap-7738	181	23	four	four	NUM
ap-7738	181	24	eigen	eigen	PROPN
ap-7738	181	25	-	-	PUNCT
ap-7738	181	26	operators	operator	NOUN
ap-7738	181	27	η̂1	η̂1	NOUN
ap-7738	181	28	,	,	PUNCT
ap-7738	181	29	η̂2	η̂2	PROPN
ap-7738	181	30	,	,	PUNCT
ap-7738	181	31	η̂±	η̂±	PROPN
ap-7738	181	32	of	of	ADP
ap-7738	181	33	g	g	PROPN
ap-7738	181	34	,	,	PUNCT
ap-7738	181	35	eq	eq	NOUN
ap-7738	181	36	.	.	PUNCT
ap-7738	182	1	(	(	PUNCT
ap-7738	182	2	8)	8)	NUM
ap-7738	182	3	.	.	PUNCT
ap-7738	182	4	figure	figure	NOUN
ap-7738	182	5	2	2	NUM
ap-7738	182	6	shows	show	VERB
ap-7738	182	7	the	the	DET
ap-7738	182	8	behavior	behavior	NOUN
ap-7738	182	9	of	of	ADP
ap-7738	182	10	normalized	normalize	VERB
ap-7738	182	11	expectation	expectation	NOUN
ap-7738	182	12	values	value	NOUN
ap-7738	182	13	ηα(t	ηα(t	PUNCT
ap-7738	182	14	)	)	PUNCT
ap-7738	182	15	calculated	calculate	VERB
ap-7738	182	16	with	with	ADP
ap-7738	182	17	|ψ(0)⟩	|ψ(0)⟩	PROPN
ap-7738	182	18	=	=	SYM
ap-7738	183	1	|	|	NOUN
ap-7738	183	2	+	+	CCONJ
ap-7738	183	3	x⟩	x⟩	PUNCT
ap-7738	183	4	as	as	ADP
ap-7738	183	5	a	a	DET
ap-7738	183	6	function	function	NOUN
ap-7738	183	7	of	of	ADP
ap-7738	183	8	time	time	NOUN
ap-7738	183	9	.	.	PUNCT
ap-7738	184	1	the	the	DET
ap-7738	184	2	system	system	NOUN
ap-7738	184	3	parameters	parameter	NOUN
ap-7738	184	4	are	be	AUX
ap-7738	184	5	γ	γ	X
ap-7738	184	6	=	=	SYM
ap-7738	184	7	0.5j	0.5j	PROPN
ap-7738	184	8	and	and	CCONJ
ap-7738	184	9	jt	jt	PROPN
ap-7738	184	10	=	=	PROPN
ap-7738	184	11	1	1	NUM
ap-7738	184	12	,	,	PUNCT
ap-7738	184	13	and	and	CCONJ
ap-7738	184	14	therefore	therefore	ADV
ap-7738	184	15	the	the	DET
ap-7738	184	16	system	system	NOUN
ap-7738	184	17	is	be	AUX
ap-7738	184	18	in	in	ADP
ap-7738	184	19	the	the	DET
ap-7738	184	20	pt	pt	NOUN
ap-7738	184	21	-symmetric	-symmetric	ADJ
ap-7738	184	22	region	region	NOUN
ap-7738	184	23	.	.	PUNCT
ap-7738	185	1	note	note	VERB
ap-7738	185	2	that	that	SCONJ
ap-7738	185	3	since	since	SCONJ
ap-7738	185	4	|ψ(t)⟩	|ψ(t)⟩	PROPN
ap-7738	185	5	is	be	AUX
ap-7738	185	6	purely	purely	ADV
ap-7738	185	7	real	real	ADJ
ap-7738	185	8	,	,	PUNCT
ap-7738	185	9	⟨ψ(t)|η̂1|ψ(t)⟩	⟨ψ(t)|η̂1|ψ(t)⟩	NOUN
ap-7738	185	10	=	=	SYM
ap-7738	185	11	0	0	NUM
ap-7738	185	12	independent	independent	NOUN
ap-7738	185	13	of	of	ADP
ap-7738	185	14	time	time	NOUN
ap-7738	185	15	[	[	X
ap-7738	185	16	25	25	NUM
ap-7738	185	17	]	]	PUNCT
ap-7738	185	18	.	.	PUNCT
ap-7738	186	1	on	on	ADP
ap-7738	186	2	the	the	DET
ap-7738	186	3	other	other	ADJ
ap-7738	186	4	hand	hand	NOUN
ap-7738	186	5	η2(t	η2(t	PROPN
ap-7738	186	6	)	)	PUNCT
ap-7738	186	7	,	,	PUNCT
ap-7738	186	8	shown	show	VERB
ap-7738	186	9	in	in	ADP
ap-7738	186	10	figure	figure	NOUN
ap-7738	186	11	2a	2a	NUM
ap-7738	186	12	,	,	PUNCT
ap-7738	186	13	has	have	VERB
ap-7738	186	14	a	a	DET
ap-7738	186	15	periodic	periodic	ADJ
ap-7738	186	16	behavior	behavior	NOUN
ap-7738	186	17	.	.	PUNCT
ap-7738	187	1	although	although	SCONJ
ap-7738	187	2	η2(t	η2(t	PROPN
ap-7738	187	3	)	)	PUNCT
ap-7738	187	4	varies	vary	VERB
ap-7738	187	5	with	with	ADP
ap-7738	187	6	time	time	NOUN
ap-7738	187	7	,	,	PUNCT
ap-7738	187	8	it	it	PRON
ap-7738	187	9	is	be	AUX
ap-7738	187	10	stroboscopically	stroboscopically	ADV
ap-7738	187	11	conserved	conserve	VERB
ap-7738	187	12	,	,	PUNCT
ap-7738	187	13	η2(tm	η2(tm	NOUN
ap-7738	187	14	)	)	PUNCT
ap-7738	187	15	=	=	SYM
ap-7738	188	1	1	1	X
ap-7738	188	2	.	.	X
ap-7738	188	3	figure	figure	NOUN
ap-7738	188	4	2b	2b	NOUN
ap-7738	188	5	shows	show	VERB
ap-7738	188	6	that	that	SCONJ
ap-7738	188	7	the	the	DET
ap-7738	188	8	real	real	ADJ
ap-7738	188	9	part	part	NOUN
ap-7738	188	10	of	of	ADP
ap-7738	188	11	η+(t	η+(t	NOUN
ap-7738	188	12	)	)	PUNCT
ap-7738	188	13	,	,	PUNCT
ap-7738	188	14	with	with	ADP
ap-7738	188	15	unit	unit	NOUN
ap-7738	188	16	-	-	PUNCT
ap-7738	188	17	magnitude	magnitude	NOUN
ap-7738	188	18	eigenvalue	eigenvalue	NOUN
ap-7738	188	19	λ3	λ3	PROPN
ap-7738	188	20	=	=	PROPN
ap-7738	188	21	−0.65	−0.65	PROPN
ap-7738	188	22	+	+	NOUN
ap-7738	188	23	0.756i	0.756i	NUM
ap-7738	188	24	,	,	PUNCT
ap-7738	188	25	also	also	ADV
ap-7738	188	26	varies	vary	VERB
ap-7738	188	27	periodically	periodically	ADV
ap-7738	188	28	.	.	PUNCT
ap-7738	189	1	the	the	DET
ap-7738	189	2	dotted	dotted	ADJ
ap-7738	189	3	black	black	ADJ
ap-7738	189	4	line	line	NOUN
ap-7738	189	5	shows	show	VERB
ap-7738	189	6	ℜλt	ℜλt	PROPN
ap-7738	189	7	3	3	NUM
ap-7738	189	8	,	,	PUNCT
ap-7738	189	9	and	and	CCONJ
ap-7738	189	10	the	the	DET
ap-7738	189	11	fact	fact	NOUN
ap-7738	189	12	that	that	SCONJ
ap-7738	189	13	ℜη+(tm	ℜη+(tm	NOUN
ap-7738	189	14	)	)	PUNCT
ap-7738	189	15	matches	match	VERB
ap-7738	189	16	it	it	PRON
ap-7738	189	17	stroboscopically	stroboscopically	ADV
ap-7738	189	18	confirms	confirm	VERB
ap-7738	189	19	the	the	DET
ap-7738	189	20	simple	simple	ADJ
ap-7738	189	21	sinousoidal	sinousoidal	ADJ
ap-7738	189	22	variation	variation	NOUN
ap-7738	189	23	of	of	ADP
ap-7738	189	24	this	this	DET
ap-7738	189	25	eigenoperator	eigenoperator	NOUN
ap-7738	189	26	.	.	PUNCT
ap-7738	190	1	since	since	SCONJ
ap-7738	190	2	the	the	DET
ap-7738	190	3	system	system	NOUN
ap-7738	190	4	is	be	AUX
ap-7738	190	5	in	in	ADP
ap-7738	190	6	the	the	DET
ap-7738	190	7	pt	pt	NOUN
ap-7738	190	8	-symmetric	-symmetric	ADJ
ap-7738	190	9	phase	phase	NOUN
ap-7738	190	10	,	,	PUNCT
ap-7738	190	11	η̂−	η̂−	PROPN
ap-7738	190	12	=	=	PUNCT
ap-7738	191	1	η̂†	η̂†	PROPN
ap-7738	192	1	+	+	ADJ
ap-7738	192	2	,	,	PUNCT
ap-7738	192	3	and	and	CCONJ
ap-7738	192	4	therefore	therefore	ADV
ap-7738	192	5	ℜη−(t	ℜη−(t	ADJ
ap-7738	192	6	)	)	PUNCT
ap-7738	192	7	=	=	SYM
ap-7738	192	8	ℜη+(t	ℜη+(t	NOUN
ap-7738	192	9	)	)	PUNCT
ap-7738	192	10	.	.	PUNCT
ap-7738	193	1	figure	figure	NOUN
ap-7738	193	2	2c	2c	NOUN
ap-7738	193	3	shows	show	VERB
ap-7738	193	4	the	the	DET
ap-7738	193	5	corresponding	corresponding	ADJ
ap-7738	193	6	imaginary	imaginary	ADJ
ap-7738	193	7	parts	part	NOUN
ap-7738	193	8	ℑη+(t	ℑη+(t	NOUN
ap-7738	193	9	)	)	PUNCT
ap-7738	193	10	=	=	SYM
ap-7738	193	11	−ℑη−(t	−ℑη−(t	PROPN
ap-7738	193	12	)	)	PUNCT
ap-7738	193	13	for	for	ADP
ap-7738	193	14	the	the	DET
ap-7738	193	15	eigen	eigen	NOUN
ap-7738	193	16	-	-	PUNCT
ap-7738	193	17	operator	operator	NOUN
ap-7738	193	18	with	with	ADP
ap-7738	193	19	the	the	DET
ap-7738	193	20	complex	complex	ADJ
ap-7738	193	21	conjugate	conjugate	ADJ
ap-7738	193	22	eigenvalue	eigenvalue	NOUN
ap-7738	193	23	λ4	λ4	NOUN
ap-7738	193	24	=	=	SYM
ap-7738	193	25	λ∗	λ∗	PROPN
ap-7738	193	26	3	3	X
ap-7738	193	27	.	.	X
ap-7738	193	28	we	we	PRON
ap-7738	193	29	note	note	VERB
ap-7738	193	30	that	that	SCONJ
ap-7738	193	31	in	in	ADP
ap-7738	193	32	the	the	DET
ap-7738	193	33	pt	pt	NOUN
ap-7738	193	34	-broken	-broken	ADJ
ap-7738	193	35	regime	regime	NOUN
ap-7738	193	36	,	,	PUNCT
ap-7738	193	37	the	the	DET
ap-7738	193	38	non	non	ADJ
ap-7738	193	39	-	-	ADJ
ap-7738	193	40	unit	unit	ADJ
ap-7738	193	41	-	-	PUNCT
ap-7738	193	42	modulus	modulus	NOUN
ap-7738	193	43	eigenvalues	eigenvalue	NOUN
ap-7738	193	44	are	be	AUX
ap-7738	193	45	not	not	PART
ap-7738	193	46	complex	complex	ADJ
ap-7738	193	47	conjugates	conjugate	NOUN
ap-7738	193	48	of	of	ADP
ap-7738	193	49	each	each	DET
ap-7738	193	50	other	other	ADJ
ap-7738	193	51	,	,	PUNCT
ap-7738	193	52	and	and	CCONJ
ap-7738	193	53	therefore	therefore	ADV
ap-7738	193	54	the	the	DET
ap-7738	193	55	corresponding	correspond	VERB
ap-7738	193	56	eigen	eigen	PROPN
ap-7738	193	57	-	-	PUNCT
ap-7738	193	58	operators	operator	NOUN
ap-7738	193	59	will	will	AUX
ap-7738	193	60	not	not	PART
ap-7738	193	61	satisfy	satisfy	VERB
ap-7738	193	62	the	the	DET
ap-7738	193	63	relations	relation	NOUN
ap-7738	193	64	shown	show	VERB
ap-7738	193	65	in	in	ADP
ap-7738	193	66	figures	figure	NOUN
ap-7738	193	67	2b	2b	NOUN
ap-7738	193	68	-	-	PROPN
ap-7738	193	69	c.	c.	NOUN
ap-7738	193	70	5	5	NUM
ap-7738	193	71	.	.	PUNCT
ap-7738	194	1	conclusions	conclusion	NOUN
ap-7738	194	2	in	in	ADP
ap-7738	194	3	this	this	DET
ap-7738	194	4	article	article	NOUN
ap-7738	194	5	,	,	PUNCT
ap-7738	194	6	we	we	PRON
ap-7738	194	7	have	have	AUX
ap-7738	194	8	presented	present	VERB
ap-7738	194	9	a	a	DET
ap-7738	194	10	new	new	ADJ
ap-7738	194	11	method	method	NOUN
ap-7738	194	12	to	to	PART
ap-7738	194	13	obtain	obtain	VERB
ap-7738	194	14	intertwining	intertwine	VERB
ap-7738	194	15	operators	operator	NOUN
ap-7738	194	16	or	or	CCONJ
ap-7738	194	17	conserved	conserve	VERB
ap-7738	194	18	quantities	quantity	NOUN
ap-7738	194	19	in	in	ADP
ap-7738	194	20	pt	pt	NOUN
ap-7738	194	21	-symmetric	-symmetric	ADJ
ap-7738	194	22	systems	system	NOUN
ap-7738	194	23	with	with	ADP
ap-7738	194	24	static	static	ADJ
ap-7738	194	25	or	or	CCONJ
ap-7738	194	26	time	time	NOUN
ap-7738	194	27	-	-	PUNCT
ap-7738	194	28	periodic	periodic	NOUN
ap-7738	194	29	hamiltonians	hamiltonian	NOUN
ap-7738	194	30	.	.	PUNCT
ap-7738	195	1	in	in	ADP
ap-7738	195	2	this	this	DET
ap-7738	195	3	approach	approach	NOUN
ap-7738	195	4	,	,	PUNCT
ap-7738	195	5	these	these	DET
ap-7738	195	6	operators	operator	NOUN
ap-7738	195	7	appear	appear	VERB
ap-7738	195	8	as	as	ADP
ap-7738	195	9	zero	zero	NUM
ap-7738	195	10	-	-	PUNCT
ap-7738	195	11	e	e	NOUN
ap-7738	195	12	eigenmodes	eigenmode	NOUN
ap-7738	195	13	of	of	ADP
ap-7738	195	14	the	the	DET
ap-7738	195	15	static	static	ADJ
ap-7738	195	16	liouvillian	liouvillian	ADJ
ap-7738	195	17	l	l	PROPN
ap-7738	195	18	or	or	CCONJ
ap-7738	195	19	as	as	ADP
ap-7738	195	20	λ	λ	PROPN
ap-7738	195	21	=	=	SYM
ap-7738	195	22	1	1	NUM
ap-7738	195	23	eigenmodes	eigenmode	NOUN
ap-7738	195	24	of	of	ADP
ap-7738	195	25	the	the	DET
ap-7738	195	26	floquet	floquet	PROPN
ap-7738	195	27	g.	g.	PROPN
ap-7738	195	28	for	for	ADP
ap-7738	195	29	figure	figure	NOUN
ap-7738	195	30	2	2	NUM
ap-7738	195	31	.	.	PUNCT
ap-7738	195	32	conserved	conserve	VERB
ap-7738	195	33	quantities	quantity	NOUN
ap-7738	195	34	for	for	ADP
ap-7738	195	35	a	a	DET
ap-7738	195	36	classical	classical	ADJ
ap-7738	195	37	pt	pt	NOUN
ap-7738	195	38	symmetric	symmetric	ADJ
ap-7738	195	39	dimer	dimer	NOUN
ap-7738	195	40	with	with	ADP
ap-7738	195	41	γ	γ	X
ap-7738	195	42	=	=	SYM
ap-7738	195	43	0.5j	0.5j	PROPN
ap-7738	195	44	,	,	PUNCT
ap-7738	195	45	jt	jt	PROPN
ap-7738	195	46	=	=	PROPN
ap-7738	195	47	1	1	NUM
ap-7738	195	48	,	,	PUNCT
ap-7738	195	49	|ψ(0)⟩	|ψ(0)⟩	VERB
ap-7738	195	50	=	=	PUNCT
ap-7738	195	51	|+x⟩.	|+x⟩.	NOUN
ap-7738	195	52	since	since	SCONJ
ap-7738	195	53	|ψ(t)⟩	|ψ(t)⟩	PROPN
ap-7738	195	54	is	be	AUX
ap-7738	195	55	purely	purely	ADV
ap-7738	195	56	real	real	ADJ
ap-7738	195	57	,	,	PUNCT
ap-7738	195	58	the	the	DET
ap-7738	195	59	expectation	expectation	NOUN
ap-7738	195	60	value	value	NOUN
ap-7738	195	61	of	of	ADP
ap-7738	195	62	η̂1	η̂1	NOUN
ap-7738	195	63	=	=	SYM
ap-7738	195	64	σy	σy	NOUN
ap-7738	195	65	is	be	AUX
ap-7738	195	66	always	always	ADV
ap-7738	195	67	zero	zero	NUM
ap-7738	195	68	.	.	PUNCT
ap-7738	196	1	(	(	PUNCT
ap-7738	196	2	a	a	X
ap-7738	196	3	)	)	PUNCT
ap-7738	196	4	η̂2	η̂2	NOUN
ap-7738	196	5	=	=	SYM
ap-7738	196	6	gy12	gy12	PROPN
ap-7738	196	7	+	+	CCONJ
ap-7738	196	8	gxσz	gxσz	PROPN
ap-7738	196	9	−	−	PROPN
ap-7738	196	10	gzσx	gzσx	PROPN
ap-7738	196	11	is	be	AUX
ap-7738	196	12	the	the	DET
ap-7738	196	13	second	second	ADJ
ap-7738	196	14	eigen	eigen	NOUN
ap-7738	196	15	-	-	PUNCT
ap-7738	196	16	operator	operator	NOUN
ap-7738	196	17	of	of	ADP
ap-7738	196	18	g	g	NOUN
ap-7738	196	19	with	with	ADP
ap-7738	196	20	λ2	λ2	NOUN
ap-7738	196	21	=	=	SYM
ap-7738	196	22	1	1	X
ap-7738	196	23	.	.	X
ap-7738	197	1	η2(t	η2(t	NOUN
ap-7738	197	2	)	)	PUNCT
ap-7738	197	3	oscillates	oscillate	NOUN
ap-7738	197	4	with	with	ADP
ap-7738	197	5	time	time	NOUN
ap-7738	197	6	,	,	PUNCT
ap-7738	197	7	but	but	CCONJ
ap-7738	197	8	is	be	AUX
ap-7738	197	9	stroboscopically	stroboscopically	ADV
ap-7738	197	10	constant	constant	ADJ
ap-7738	197	11	at	at	ADP
ap-7738	197	12	t	t	PROPN
ap-7738	197	13	/	/	SYM
ap-7738	197	14	t	t	NOUN
ap-7738	197	15	=	=	SYM
ap-7738	197	16	n	n	CCONJ
ap-7738	197	17	;	;	PUNCT
ap-7738	197	18	the	the	DET
ap-7738	197	19	dotted	dotted	ADJ
ap-7738	197	20	red	red	ADJ
ap-7738	197	21	line	line	NOUN
ap-7738	197	22	shows	show	VERB
ap-7738	197	23	ℜλt	ℜλt	PROPN
ap-7738	197	24	2	2	NUM
ap-7738	197	25	=	=	SYM
ap-7738	197	26	1	1	NUM
ap-7738	197	27	.	.	PUNCT
ap-7738	198	1	(	(	PUNCT
ap-7738	198	2	b	b	X
ap-7738	198	3	)	)	PUNCT
ap-7738	198	4	since	since	SCONJ
ap-7738	198	5	the	the	DET
ap-7738	198	6	system	system	NOUN
ap-7738	198	7	is	be	AUX
ap-7738	198	8	in	in	ADP
ap-7738	198	9	the	the	DET
ap-7738	198	10	pt	pt	NOUN
ap-7738	198	11	-symmetric	-symmetric	ADJ
ap-7738	198	12	phase	phase	NOUN
ap-7738	198	13	,	,	PUNCT
ap-7738	198	14	ℜη+(t	ℜη+(t	NOUN
ap-7738	198	15	)	)	PUNCT
ap-7738	198	16	=	=	SYM
ap-7738	198	17	ℜη−(t	ℜη−(t	NOUN
ap-7738	198	18	)	)	PUNCT
ap-7738	198	19	(	(	PUNCT
ap-7738	198	20	solid	solid	ADJ
ap-7738	198	21	black	black	NOUN
ap-7738	198	22	)	)	PUNCT
ap-7738	198	23	shows	show	VERB
ap-7738	198	24	periodic	periodic	ADJ
ap-7738	198	25	behavior	behavior	NOUN
ap-7738	198	26	with	with	ADP
ap-7738	198	27	values	value	NOUN
ap-7738	198	28	that	that	PRON
ap-7738	198	29	stroboscopically	stroboscopically	ADV
ap-7738	198	30	match	match	VERB
ap-7738	198	31	ℜλt	ℜλt	PROPN
ap-7738	198	32	3	3	NUM
ap-7738	198	33	,	,	PUNCT
ap-7738	198	34	shown	show	VERB
ap-7738	198	35	in	in	ADP
ap-7738	198	36	dotted	dotted	ADJ
ap-7738	198	37	black	black	NOUN
ap-7738	198	38	.	.	PUNCT
ap-7738	199	1	(	(	PUNCT
ap-7738	199	2	c	c	X
ap-7738	199	3	)	)	PUNCT
ap-7738	199	4	corresponding	correspond	VERB
ap-7738	199	5	imaginary	imaginary	ADJ
ap-7738	199	6	parts	part	NOUN
ap-7738	199	7	,	,	PUNCT
ap-7738	199	8	ℑη−(t	ℑη−(t	NOUN
ap-7738	199	9	)	)	PUNCT
ap-7738	199	10	=	=	SYM
ap-7738	199	11	−ℑη+(t	−ℑη+(t	NOUN
ap-7738	199	12	)	)	PUNCT
ap-7738	199	13	(	(	PUNCT
ap-7738	199	14	dot	dot	NOUN
ap-7738	199	15	-	-	PUNCT
ap-7738	199	16	dashed	dash	VERB
ap-7738	199	17	black	black	ADJ
ap-7738	199	18	)	)	PUNCT
ap-7738	199	19	show	show	VERB
ap-7738	199	20	similar	similar	ADJ
ap-7738	199	21	,	,	PUNCT
ap-7738	199	22	stroboscopically	stroboscopically	ADV
ap-7738	199	23	matching	match	VERB
ap-7738	199	24	behavior	behavior	NOUN
ap-7738	199	25	.	.	PUNCT
ap-7738	200	1	an	an	DET
ap-7738	200	2	n	n	CCONJ
ap-7738	200	3	-dimensional	-dimensional	ADJ
ap-7738	200	4	system	system	NOUN
ap-7738	200	5	,	,	PUNCT
ap-7738	200	6	in	in	ADP
ap-7738	200	7	addition	addition	NOUN
ap-7738	200	8	to	to	ADP
ap-7738	200	9	the	the	DET
ap-7738	200	10	n	n	PROPN
ap-7738	200	11	constants	constant	NOUN
ap-7738	200	12	of	of	ADP
ap-7738	200	13	motion	motion	NOUN
ap-7738	200	14	,	,	PUNCT
ap-7738	200	15	this	this	DET
ap-7738	200	16	approach	approach	NOUN
ap-7738	200	17	also	also	ADV
ap-7738	200	18	leads	lead	VERB
ap-7738	200	19	to	to	ADP
ap-7738	200	20	n(n	n(n	PROPN
ap-7738	200	21	−1	−1	NOUN
ap-7738	200	22	)	)	PUNCT
ap-7738	200	23	operators	operator	NOUN
ap-7738	200	24	whose	whose	DET
ap-7738	200	25	expectation	expectation	NOUN
ap-7738	200	26	values	value	NOUN
ap-7738	200	27	in	in	ADP
ap-7738	200	28	any	any	DET
ap-7738	200	29	arbitrary	arbitrary	ADJ
ap-7738	200	30	state	state	NOUN
ap-7738	200	31	undergo	undergo	VERB
ap-7738	200	32	simple	simple	ADJ
ap-7738	200	33	exponential	exponential	NOUN
ap-7738	200	34	-	-	PUNCT
ap-7738	200	35	in	in	ADP
ap-7738	200	36	-	-	PUNCT
ap-7738	200	37	time	time	NOUN
ap-7738	200	38	change	change	NOUN
ap-7738	200	39	.	.	PUNCT
ap-7738	201	1	we	we	PRON
ap-7738	201	2	have	have	AUX
ap-7738	201	3	demonstrated	demonstrate	VERB
ap-7738	201	4	these	these	DET
ap-7738	201	5	concepts	concept	NOUN
ap-7738	201	6	with	with	ADP
ap-7738	201	7	two	two	NUM
ap-7738	201	8	simple	simple	ADJ
ap-7738	201	9	,	,	PUNCT
ap-7738	201	10	physically	physically	ADV
ap-7738	201	11	motivated	motivated	ADJ
ap-7738	201	12	examples	example	NOUN
ap-7738	201	13	of	of	ADP
ap-7738	201	14	a	a	DET
ap-7738	201	15	pt	pt	NOUN
ap-7738	201	16	-symmetric	-symmetric	ADJ
ap-7738	201	17	dimer	dimer	NOUN
ap-7738	201	18	with	with	ADP
ap-7738	201	19	different	different	ADJ
ap-7738	201	20	,	,	PUNCT
ap-7738	201	21	periodic	periodic	ADJ
ap-7738	201	22	gain	gain	NOUN
ap-7738	201	23	-	-	PUNCT
ap-7738	201	24	loss	loss	NOUN
ap-7738	201	25	profiles	profile	NOUN
ap-7738	201	26	.	.	PUNCT
ap-7738	202	1	we	we	PRON
ap-7738	202	2	have	have	AUX
ap-7738	202	3	deliberating	deliberate	VERB
ap-7738	202	4	stayed	stay	VERB
ap-7738	202	5	away	away	ADV
ap-7738	202	6	from	from	ADP
ap-7738	202	7	continuum	continuum	ADJ
ap-7738	202	8	models	model	NOUN
ap-7738	202	9	because	because	SCONJ
ap-7738	202	10	extending	extend	VERB
ap-7738	202	11	this	this	DET
ap-7738	202	12	approach	approach	NOUN
ap-7738	202	13	or	or	CCONJ
ap-7738	202	14	the	the	DET
ap-7738	202	15	recursive	recursive	ADJ
ap-7738	202	16	construction	construction	NOUN
ap-7738	202	17	[	[	X
ap-7738	202	18	34	34	NUM
ap-7738	202	19	,	,	PUNCT
ap-7738	202	20	35	35	NUM
ap-7738	202	21	]	]	PUNCT
ap-7738	202	22	to	to	PART
ap-7738	202	23	infinite	infinite	VERB
ap-7738	202	24	dimensions	dimension	NOUN
ap-7738	202	25	will	will	AUX
ap-7738	202	26	probably	probably	ADV
ap-7738	202	27	be	be	AUX
ap-7738	202	28	plagued	plague	VERB
ap-7738	202	29	by	by	ADP
ap-7738	202	30	challenges	challenge	NOUN
ap-7738	202	31	regarding	regard	VERB
ap-7738	202	32	domains	domain	NOUN
ap-7738	202	33	of	of	ADP
ap-7738	202	34	resulting	result	VERB
ap-7738	202	35	,	,	PUNCT
ap-7738	202	36	increasingly	increasingly	ADV
ap-7738	202	37	higher	high	ADJ
ap-7738	202	38	-	-	PUNCT
ap-7738	202	39	order	order	NOUN
ap-7738	202	40	differential	differential	ADJ
ap-7738	202	41	operators	operator	NOUN
ap-7738	202	42	.	.	PUNCT
ap-7738	203	1	the	the	DET
ap-7738	203	2	definition	definition	NOUN
ap-7738	203	3	of	of	ADP
ap-7738	203	4	an	an	DET
ap-7738	203	5	intertwining	intertwine	VERB
ap-7738	203	6	operator	operator	NOUN
ap-7738	203	7	via	via	ADP
ap-7738	203	8	eq	eq	NOUN
ap-7738	203	9	.	.	PUNCT
ap-7738	204	1	(	(	PUNCT
ap-7738	204	2	1	1	X
ap-7738	204	3	)	)	PUNCT
ap-7738	204	4	can	can	AUX
ap-7738	204	5	be	be	AUX
ap-7738	204	6	generalized	generalize	VERB
ap-7738	204	7	to	to	PART
ap-7738	204	8	obtain	obtain	VERB
ap-7738	204	9	conserved	conserved	ADJ
ap-7738	204	10	observables	observable	NOUN
ap-7738	204	11	for	for	ADP
ap-7738	204	12	hamiltonians	hamiltonian	NOUN
ap-7738	204	13	that	that	PRON
ap-7738	204	14	posses	posse	VERB
ap-7738	204	15	other	other	ADJ
ap-7738	204	16	antilinear	antilinear	ADJ
ap-7738	204	17	symmetries	symmetry	NOUN
ap-7738	204	18	,	,	PUNCT
ap-7738	204	19	such	such	ADJ
ap-7738	204	20	as	as	ADP
ap-7738	204	21	anti	anti	ADJ
ap-7738	204	22	-	-	ADJ
ap-7738	204	23	pt	pt	ADJ
ap-7738	204	24	symmetry	symmetry	NOUN
ap-7738	205	1	[	[	X
ap-7738	205	2	48–50	48–50	NOUN
ap-7738	205	3	]	]	PUNCT
ap-7738	205	4	or	or	CCONJ
ap-7738	205	5	anyonic	anyonic	ADJ
ap-7738	205	6	-	-	PUNCT
ap-7738	205	7	pt	pt	NOUN
ap-7738	205	8	symmetry	symmetry	NOUN
ap-7738	205	9	[	[	X
ap-7738	205	10	51	51	NUM
ap-7738	205	11	,	,	PUNCT
ap-7738	205	12	52	52	NUM
ap-7738	205	13	]	]	PUNCT
ap-7738	205	14	.	.	PUNCT
ap-7738	206	1	the	the	DET
ap-7738	206	2	recursive	recursive	ADJ
ap-7738	206	3	procedure	procedure	NOUN
ap-7738	206	4	to	to	PART
ap-7738	206	5	generate	generate	VERB
ap-7738	206	6	a	a	DET
ap-7738	206	7	tower	tower	NOUN
ap-7738	206	8	of	of	ADP
ap-7738	206	9	such	such	ADJ
ap-7738	206	10	operators	operator	NOUN
ap-7738	206	11	[	[	X
ap-7738	206	12	34	34	NUM
ap-7738	206	13	]	]	PUNCT
ap-7738	206	14	,	,	PUNCT
ap-7738	206	15	and	and	CCONJ
ap-7738	206	16	the	the	DET
ap-7738	206	17	vectorization	vectorization	NOUN
ap-7738	206	18	method	method	NOUN
ap-7738	206	19	presented	present	VERB
ap-7738	206	20	in	in	ADP
ap-7738	206	21	section	section	NOUN
ap-7738	206	22	2	2	NUM
ap-7738	206	23	remains	remain	VERB
ap-7738	206	24	valid	valid	ADJ
ap-7738	206	25	for	for	ADP
ap-7738	206	26	arbitrary	arbitrary	ADJ
ap-7738	206	27	antilinear	antilinear	ADJ
ap-7738	206	28	symmetry	symmetry	NOUN
ap-7738	206	29	.	.	PUNCT
ap-7738	207	1	thus	thus	ADV
ap-7738	207	2	,	,	PUNCT
ap-7738	207	3	this	this	DET
ap-7738	207	4	approach	approach	NOUN
ap-7738	207	5	can	can	AUX
ap-7738	207	6	be	be	AUX
ap-7738	207	7	used	use	VERB
ap-7738	207	8	to	to	PART
ap-7738	207	9	investigate	investigate	VERB
ap-7738	207	10	constants	constant	NOUN
ap-7738	207	11	of	of	ADP
ap-7738	207	12	motion	motion	NOUN
ap-7738	207	13	in	in	ADP
ap-7738	207	14	such	such	ADJ
ap-7738	207	15	systems	system	NOUN
ap-7738	207	16	as	as	ADV
ap-7738	207	17	well	well	ADV
ap-7738	207	18	.	.	PUNCT
ap-7738	208	1	5	5	NUM
ap-7738	208	2	k.	k.	PROPN
ap-7738	208	3	s.	s.	PROPN
ap-7738	208	4	agarwal	agarwal	PROPN
ap-7738	208	5	,	,	PUNCT
ap-7738	208	6	j.	j.	PROPN
ap-7738	208	7	muldoon	muldoon	PROPN
ap-7738	208	8	,	,	PUNCT
ap-7738	209	1	y.	y.	PROPN
ap-7738	209	2	n.	n.	PROPN
ap-7738	209	3	joglekar	joglekar	PROPN
ap-7738	209	4	acta	acta	PROPN
ap-7738	209	5	polytechnica	polytechnica	PROPN
ap-7738	209	6	references	reference	NOUN
ap-7738	209	7	[	[	X
ap-7738	209	8	1	1	NUM
ap-7738	209	9	]	]	PUNCT
ap-7738	209	10	c.	c.	PROPN
ap-7738	209	11	m.	m.	PROPN
ap-7738	209	12	bender	bender	PROPN
ap-7738	209	13	,	,	PUNCT
ap-7738	209	14	s.	s.	PROPN
ap-7738	209	15	boettcher	boettcher	PROPN
ap-7738	209	16	.	.	PUNCT
ap-7738	210	1	real	real	ADJ
ap-7738	210	2	spectra	spectra	NOUN
ap-7738	210	3	in	in	ADP
ap-7738	210	4	non	non	ADJ
ap-7738	210	5	-	-	ADJ
ap-7738	210	6	hermitian	hermitian	ADJ
ap-7738	210	7	hamiltonians	hamiltonian	NOUN
ap-7738	210	8	having	have	VERB
ap-7738	210	9	pt	pt	PRON
ap-7738	210	10	symmetry	symmetry	NOUN
ap-7738	210	11	.	.	PUNCT
ap-7738	211	1	physical	physical	PROPN
ap-7738	211	2	review	review	PROPN
ap-7738	211	3	letters	letter	NOUN
ap-7738	211	4	80(24):5243–5246	80(24):5243–5246	NUM
ap-7738	211	5	,	,	PUNCT
ap-7738	211	6	1998	1998	NUM
ap-7738	211	7	.	.	PUNCT
ap-7738	212	1	https://doi.org/10.1103/physrevlett.80.5243	https://doi.org/10.1103/physrevlett.80.5243	NOUN
ap-7738	212	2	.	.	PUNCT
ap-7738	213	1	[	[	X
ap-7738	213	2	2	2	X
ap-7738	213	3	]	]	X
ap-7738	213	4	g.	g.	PROPN
ap-7738	213	5	lévai	lévai	PROPN
ap-7738	213	6	,	,	PUNCT
ap-7738	213	7	m.	m.	NOUN
ap-7738	213	8	znojil	znojil	PROPN
ap-7738	213	9	.	.	PUNCT
ap-7738	214	1	systematic	systematic	ADJ
ap-7738	214	2	search	search	NOUN
ap-7738	214	3	for	for	ADP
ap-7738	214	4	pt	pt	X
ap-7738	214	5	-symmetric	-symmetric	ADJ
ap-7738	214	6	potentials	potential	NOUN
ap-7738	214	7	with	with	ADP
ap-7738	214	8	real	real	ADJ
ap-7738	214	9	energy	energy	NOUN
ap-7738	214	10	spectra	spectra	PROPN
ap-7738	214	11	.	.	PROPN
ap-7738	214	12	journal	journal	PROPN
ap-7738	214	13	of	of	ADP
ap-7738	214	14	physics	physics	PROPN
ap-7738	214	15	a	a	PRON
ap-7738	214	16	:	:	PUNCT
ap-7738	214	17	mathematical	mathematical	ADJ
ap-7738	214	18	and	and	CCONJ
ap-7738	214	19	general	general	ADJ
ap-7738	214	20	33(40):7165–7180	33(40):7165–7180	NUM
ap-7738	214	21	,	,	PUNCT
ap-7738	214	22	2000	2000	NUM
ap-7738	214	23	.	.	PUNCT
ap-7738	215	1	https://doi.org/10.1088/0305-4470/33/40/313	https://doi.org/10.1088/0305-4470/33/40/313	NOUN
ap-7738	215	2	.	.	PUNCT
ap-7738	216	1	[	[	X
ap-7738	216	2	3	3	X
ap-7738	216	3	]	]	X
ap-7738	216	4	c.	c.	PROPN
ap-7738	216	5	m.	m.	PROPN
ap-7738	216	6	bender	bender	PROPN
ap-7738	216	7	,	,	PUNCT
ap-7738	216	8	d.	d.	PROPN
ap-7738	216	9	c.	c.	PROPN
ap-7738	216	10	brody	brody	PROPN
ap-7738	216	11	,	,	PUNCT
ap-7738	216	12	h.	h.	PROPN
ap-7738	216	13	f.	f.	PROPN
ap-7738	216	14	jones	jones	PROPN
ap-7738	216	15	.	.	PROPN
ap-7738	217	1	must	must	AUX
ap-7738	217	2	a	a	DET
ap-7738	217	3	hamiltonian	hamiltonian	NOUN
ap-7738	217	4	be	be	AUX
ap-7738	217	5	hermitian	hermitian	ADJ
ap-7738	217	6	?	?	PUNCT
ap-7738	218	1	american	american	ADJ
ap-7738	218	2	journal	journal	PROPN
ap-7738	218	3	of	of	ADP
ap-7738	218	4	physics	physics	PROPN
ap-7738	218	5	71(11):1095–1102	71(11):1095–1102	NUM
ap-7738	218	6	,	,	PUNCT
ap-7738	218	7	2003	2003	NUM
ap-7738	218	8	.	.	PUNCT
ap-7738	219	1	https://doi.org/10.1119/1.1574043	https://doi.org/10.1119/1.1574043	X
ap-7738	219	2	.	.	PUNCT
ap-7738	220	1	[	[	X
ap-7738	220	2	4	4	NUM
ap-7738	220	3	]	]	X
ap-7738	220	4	c.	c.	PROPN
ap-7738	220	5	m.	m.	PROPN
ap-7738	220	6	bender	bender	PROPN
ap-7738	220	7	.	.	PUNCT
ap-7738	221	1	making	make	VERB
ap-7738	221	2	sense	sense	NOUN
ap-7738	221	3	of	of	ADP
ap-7738	221	4	non	non	ADJ
ap-7738	221	5	-	-	ADJ
ap-7738	221	6	hermitian	hermitian	ADJ
ap-7738	221	7	hamiltonians	hamiltonian	NOUN
ap-7738	221	8	.	.	PUNCT
ap-7738	222	1	reports	report	NOUN
ap-7738	222	2	on	on	ADP
ap-7738	222	3	progress	progress	NOUN
ap-7738	222	4	in	in	ADP
ap-7738	222	5	physics	physics	NOUN
ap-7738	222	6	70(6):947–1018	70(6):947–1018	PROPN
ap-7738	222	7	,	,	PUNCT
ap-7738	222	8	2007	2007	NUM
ap-7738	222	9	.	.	PUNCT
ap-7738	223	1	https://doi.org/10.1088/0034-4885/70/6/r03	https://doi.org/10.1088/0034-4885/70/6/r03	PROPN
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ap-7738	226	7	.	.	PUNCT
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ap-7738	230	8	.	.	PUNCT
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ap-7738	232	2	7	7	NUM
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ap-7738	234	12	.	.	PUNCT
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ap-7738	236	2	8	8	NUM
ap-7738	236	3	]	]	PUNCT
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ap-7738	236	6	.	.	PUNCT
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ap-7738	237	7	mechanics	mechanic	NOUN
ap-7738	237	8	.	.	PUNCT
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ap-7738	238	2	journal	journal	PROPN
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ap-7738	240	2	9	9	NUM
ap-7738	240	3	]	]	PUNCT
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ap-7738	241	20	2	2	NUM
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ap-7738	241	22	2	2	NUM
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ap-7738	242	7	,	,	PUNCT
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ap-7738	242	9	.	.	PUNCT
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ap-7738	244	2	10	10	NUM
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ap-7738	246	6	,	,	PUNCT
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ap-7738	246	8	.	.	PUNCT
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ap-7738	247	2	.	.	PUNCT
ap-7738	248	1	[	[	X
ap-7738	248	2	11	11	NUM
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ap-7738	249	11	in	in	ADP
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ap-7738	249	14	.	.	PUNCT
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ap-7738	250	7	,	,	PUNCT
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ap-7738	250	9	.	.	PUNCT
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ap-7738	251	2	.	.	PUNCT
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ap-7738	252	2	12	12	NUM
ap-7738	252	3	]	]	PUNCT
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ap-7738	253	13	.	.	PUNCT
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ap-7738	254	14	.	.	PUNCT
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ap-7738	256	2	13	13	NUM
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ap-7738	262	5	,	,	PUNCT
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ap-7738	262	7	.	.	PUNCT
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ap-7738	266	1	physical	physical	ADJ
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ap-7738	266	7	.	.	PUNCT
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ap-7738	274	7	.	.	PUNCT
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ap-7738	277	6	.	.	PUNCT
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ap-7738	281	5	,	,	PUNCT
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ap-7738	281	7	.	.	PUNCT
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ap-7738	285	3	,	,	PUNCT
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ap-7738	285	5	.	.	PUNCT
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ap-7738	288	4	,	,	PUNCT
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ap-7738	288	6	.	.	PUNCT
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ap-7738	289	2	.	.	PUNCT
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ap-7738	290	29	.	.	PUNCT
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ap-7738	291	4	,	,	PUNCT
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ap-7738	291	6	.	.	PUNCT
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ap-7738	292	2	.	.	PUNCT
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ap-7738	294	5	,	,	PUNCT
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ap-7738	294	7	.	.	PUNCT
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ap-7738	297	8	,	,	PUNCT
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ap-7738	297	10	.	.	PUNCT
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ap-7738	300	20	.	.	PUNCT
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ap-7738	308	5	,	,	PUNCT
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ap-7738	308	7	.	.	PUNCT
ap-7738	309	1	https://doi.org/10.1103/physrevlett.103.093902	https://doi.org/10.1103/physrevlett.103.093902	X
ap-7738	309	2	.	.	PUNCT
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ap-7738	312	7	.	.	PUNCT
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ap-7738	325	5	.	.	PUNCT
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ap-7738	336	4	,	,	PUNCT
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ap-7738	336	6	.	.	PUNCT
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ap-7738	343	5	)	)	PUNCT
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ap-7738	347	10	,	,	PUNCT
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ap-7738	349	2	37	37	NUM
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ap-7738	351	2	review	review	NOUN
ap-7738	351	3	a	a	DET
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ap-7738	351	5	,	,	PUNCT
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ap-7738	351	7	.	.	PUNCT
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ap-7738	352	2	.	.	PUNCT
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ap-7738	355	8	,	,	PUNCT
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ap-7738	363	7	.	.	PUNCT
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ap-7738	367	5	,	,	PUNCT
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ap-7738	367	7	.	.	PUNCT
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ap-7738	370	9	.	.	PUNCT
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ap-7738	371	6	.	.	PUNCT
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ap-7738	375	7	.	.	PUNCT
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ap-7738	379	7	.	.	PUNCT
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ap-7738	380	2	review	review	NOUN
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ap-7738	380	5	,	,	PUNCT
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ap-7738	380	7	.	.	PUNCT
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ap-7738	384	5	,	,	PUNCT
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ap-7738	386	12	.	.	PUNCT
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ap-7738	387	3	-	-	SYM
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ap-7738	387	5	-	-	SYM
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ap-7738	387	7	]	]	PUNCT
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ap-7738	390	8	,	,	PUNCT
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ap-7738	393	6	,	,	PUNCT
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ap-7738	393	8	.	.	PUNCT
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ap-7738	397	4	)	)	PUNCT
ap-7738	397	5	,	,	PUNCT
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ap-7738	397	7	.	.	PUNCT
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ap-7738	400	7	.	.	PUNCT
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ap-7738	403	7	and	and	CCONJ
ap-7738	403	8	non	non	ADJ
ap-7738	403	9	-	-	ADJ
ap-7738	403	10	hermitian	hermitian	ADJ
ap-7738	403	11	delocalization	delocalization	NOUN
ap-7738	403	12	.	.	PUNCT
ap-7738	404	1	epl	epl	PROPN
ap-7738	404	2	(	(	PUNCT
ap-7738	404	3	europhysics	europhysics	PRON
ap-7738	404	4	letters	letter	NOUN
ap-7738	404	5	)	)	PUNCT
ap-7738	404	6	125(1):10006	125(1):10006	NUM
ap-7738	404	7	,	,	PUNCT
ap-7738	404	8	2019	2019	NUM
ap-7738	404	9	.	.	PUNCT
ap-7738	404	10	https://doi.org/10.1209/0295-5075/125/10006	https://doi.org/10.1209/0295-5075/125/10006	NOUN
ap-7738	404	11	.	.	PUNCT
ap-7738	405	1	[	[	X
ap-7738	405	2	52	52	NUM
ap-7738	405	3	]	]	PUNCT
ap-7738	405	4	g.	g.	PROPN
ap-7738	405	5	arwas	arwas	PROPN
ap-7738	405	6	,	,	PUNCT
ap-7738	405	7	s.	s.	PROPN
ap-7738	405	8	gadasi	gadasi	PROPN
ap-7738	405	9	,	,	PUNCT
ap-7738	405	10	i.	i.	NOUN
ap-7738	405	11	gershenzon	gershenzon	PROPN
ap-7738	405	12	,	,	PUNCT
ap-7738	405	13	et	et	PROPN
ap-7738	405	14	al	al	PROPN
ap-7738	405	15	.	.	PROPN
ap-7738	405	16	anyonic	anyonic	ADJ
ap-7738	405	17	parity	parity	NOUN
ap-7738	405	18	-	-	PUNCT
ap-7738	405	19	time	time	NOUN
ap-7738	405	20	symmetric	symmetric	ADJ
ap-7738	405	21	laser	laser	NOUN
ap-7738	405	22	,	,	PUNCT
ap-7738	405	23	2021	2021	NUM
ap-7738	405	24	.	.	PUNCT
ap-7738	406	1	arxiv:2103.15359	arxiv:2103.15359	ADV
ap-7738	406	2	.	.	PUNCT
ap-7738	407	1	7	7	NUM
ap-7738	407	2	https://doi.org/10.1364/prj.6.000a51	https://doi.org/10.1364/prj.6.000a51	NUM
ap-7738	407	3	https://doi.org/10.1126/science.aaw8205	https://doi.org/10.1126/science.aaw8205	NOUN
ap-7738	407	4	https://doi.org/10.1038/s41567-019-0652-z	https://doi.org/10.1038/s41567-019-0652-z	ADP
ap-7738	407	5	https://doi.org/10.1038/s41467-019-08596-1	https://doi.org/10.1038/s41467-019-08596-1	NOUN
ap-7738	407	6	https://doi.org/10.1038/s41566-019-0517-0	https://doi.org/10.1038/s41566-019-0517-0	NUM
ap-7738	407	7	https://doi.org/10.1088/1742-6596/2038/1/012021	https://doi.org/10.1088/1742-6596/2038/1/012021	PUNCT
ap-7738	408	1	https://doi.org/10.1103/physrevresearch.2.022039	https://doi.org/10.1103/physrevresearch.2.022039	PROPN
ap-7738	408	2	https://doi.org/10.1088/1751-8113/41/24/244007	https://doi.org/10.1088/1751-8113/41/24/244007	VERB
ap-7738	408	3	https://doi.org/10.1103/physreva.90.053817	https://doi.org/10.1103/physreva.90.053817	ADJ
ap-7738	408	4	https://doi.org/10.1063/1.522979	https://doi.org/10.1063/1.522979	PROPN
ap-7738	408	5	https://doi.org/10.1007/bf01608499	https://doi.org/10.1007/bf01608499	X
ap-7738	408	6	https://doi.org/10.1103/physreva.47.5093	https://doi.org/10.1103/physreva.47.5093	ADV
ap-7738	408	7	https://doi.org/10.1103/physreva.89.022118	https://doi.org/10.1103/physreva.89.022118	VERB
ap-7738	408	8	https://doi.org/10.1063/1.5115323	https://doi.org/10.1063/1.5115323	PROPN
ap-7738	408	9	https://doi.org/10.1103/physreva.103.023718	https://doi.org/10.1103/physreva.103.023718	PROPN
ap-7738	408	10	https://doi.org/10.1103/physreva.90.040101	https://doi.org/10.1103/physreva.90.040101	PROPN
ap-7738	408	11	https://doi.org/10.1103/physreva.92.042103	https://doi.org/10.1103/physreva.92.042103	PROPN
ap-7738	408	12	https://www.physik.uni-augsburg.de/theo1/hanggi/chapter_5.pdf	https://www.physik.uni-augsburg.de/theo1/hanggi/chapter_5.pdf	PROPN
ap-7738	408	13	https://www.physik.uni-augsburg.de/theo1/hanggi/chapter_5.pdf	https://www.physik.uni-augsburg.de/theo1/hanggi/chapter_5.pdf	PROPN
ap-7738	408	14	https://doi.org/10.1093/ptep/ptaa181	https://doi.org/10.1093/ptep/ptaa181	PROPN
ap-7738	408	15	https://doi.org/10.1038/nphys3842	https://doi.org/10.1038/nphys3842	PROPN
ap-7738	408	16	https://doi.org/10.1038/s41467-018-04690-y	https://doi.org/10.1038/s41467-018-04690-y	PROPN
ap-7738	408	17	https://doi.org/10.1103/physrevlett.124.053901	https://doi.org/10.1103/physrevlett.124.053901	NOUN
ap-7738	408	18	https://doi.org/10.1209/0295-5075/125/10006	https://doi.org/10.1209/0295-5075/125/10006	NOUN
ap-7738	408	19	http://arxiv.org/abs/2103.15359	http://arxiv.org/abs/2103.15359	X
ap-7738	408	20	acta	acta	PROPN
ap-7738	408	21	polytechnica	polytechnica	PROPN
ap-7738	408	22	62(1):1–7	62(1):1–7	PROPN
ap-7738	408	23	,	,	PUNCT
ap-7738	408	24	2022	2022	NUM
ap-7738	408	25	1	1	NUM
ap-7738	408	26	introduction	introduction	NOUN
ap-7738	408	27	2	2	NUM
ap-7738	408	28	intertwining	intertwine	VERB
ap-7738	408	29	operators	operator	NOUN
ap-7738	408	30	as	as	ADP
ap-7738	408	31	an	an	DET
ap-7738	408	32	eigenvalue	eigenvalue	NOUN
ap-7738	408	33	problem	problem	NOUN
ap-7738	408	34	3	3	NUM
ap-7738	408	35	quantum	quantum	ADJ
ap-7738	408	36	pt	pt	NOUN
ap-7738	408	37	-	-	ADJ
ap-7738	408	38	symmetric	symmetric	ADJ
ap-7738	408	39	dimer	dimer	NOUN
ap-7738	408	40	4	4	NUM
ap-7738	408	41	classical	classical	ADJ
ap-7738	408	42	pt	pt	ADJ
ap-7738	408	43	-	-	ADJ
ap-7738	408	44	symmetric	symmetric	ADJ
ap-7738	408	45	dimer	dimer	NOUN
ap-7738	408	46	5	5	NUM
ap-7738	408	47	conclusions	conclusion	NOUN
ap-7738	408	48	references	reference	NOUN