Thermal correction to entanglement spectrum for conformal field theories

Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first...
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Autor*in:	Yin Tang [verfasserIn] Qicheng Tang [verfasserIn] W. Zhu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Conformal and W Symmetry Field Theories in Lower Dimensions Thermal Field Theory

Übergeordnetes Werk:	In: Journal of High Energy Physics - SpringerOpen, 2016, (2022), 8, Seite 19
Übergeordnetes Werk:	year:2022 ; number:8 ; pages:19

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1007/JHEP08(2022)239

Katalog-ID:	DOAJ085730637

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520			\|a Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum.
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spelling	10.1007/JHEP08(2022)239 doi (DE-627)DOAJ085730637 (DE-599)DOAJ6a14341c80134330818f6b28ac1e1667 DE-627 ger DE-627 rakwb eng QC770-798 Yin Tang verfasserin aut Thermal correction to entanglement spectrum for conformal field theories 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum. Conformal and W Symmetry Field Theories in Lower Dimensions Thermal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity Qicheng Tang verfasserin aut W. Zhu verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2022), 8, Seite 19 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2022 number:8 pages:19 https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/article/6a14341c80134330818f6b28ac1e1667 kostenfrei https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 8 19
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allfieldsGer	10.1007/JHEP08(2022)239 doi (DE-627)DOAJ085730637 (DE-599)DOAJ6a14341c80134330818f6b28ac1e1667 DE-627 ger DE-627 rakwb eng QC770-798 Yin Tang verfasserin aut Thermal correction to entanglement spectrum for conformal field theories 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum. Conformal and W Symmetry Field Theories in Lower Dimensions Thermal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity Qicheng Tang verfasserin aut W. Zhu verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2022), 8, Seite 19 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2022 number:8 pages:19 https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/article/6a14341c80134330818f6b28ac1e1667 kostenfrei https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 8 19
allfieldsSound	10.1007/JHEP08(2022)239 doi (DE-627)DOAJ085730637 (DE-599)DOAJ6a14341c80134330818f6b28ac1e1667 DE-627 ger DE-627 rakwb eng QC770-798 Yin Tang verfasserin aut Thermal correction to entanglement spectrum for conformal field theories 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum. Conformal and W Symmetry Field Theories in Lower Dimensions Thermal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity Qicheng Tang verfasserin aut W. Zhu verfasserin aut In Journal of High Energy Physics SpringerOpen, 2016 (2022), 8, Seite 19 (DE-627)320910571 (DE-600)2027350-2 10298479 nnns year:2022 number:8 pages:19 https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/article/6a14341c80134330818f6b28ac1e1667 kostenfrei https://doi.org/10.1007/JHEP08(2022)239 kostenfrei https://doaj.org/toc/1029-8479 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 8 19
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callnumber-first	Q - Science
author	Yin Tang
spellingShingle	Yin Tang misc QC770-798 misc Conformal and W Symmetry misc Field Theories in Lower Dimensions misc Thermal Field Theory misc Nuclear and particle physics. Atomic energy. Radioactivity Thermal correction to entanglement spectrum for conformal field theories
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topic_title	QC770-798 Thermal correction to entanglement spectrum for conformal field theories Conformal and W Symmetry Field Theories in Lower Dimensions Thermal Field Theory
topic	misc QC770-798 misc Conformal and W Symmetry misc Field Theories in Lower Dimensions misc Thermal Field Theory misc Nuclear and particle physics. Atomic energy. Radioactivity
topic_unstemmed	misc QC770-798 misc Conformal and W Symmetry misc Field Theories in Lower Dimensions misc Thermal Field Theory misc Nuclear and particle physics. Atomic energy. Radioactivity
topic_browse	misc QC770-798 misc Conformal and W Symmetry misc Field Theories in Lower Dimensions misc Thermal Field Theory misc Nuclear and particle physics. Atomic energy. Radioactivity
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title	Thermal correction to entanglement spectrum for conformal field theories
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title_full	Thermal correction to entanglement spectrum for conformal field theories
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title_sort	thermal correction to entanglement spectrum for conformal field theories
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title_auth	Thermal correction to entanglement spectrum for conformal field theories
abstract	Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum.
abstractGer	Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum.
abstract_unstemmed	Abstract We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the Rényi entropy. Within a low-temperature expansion by including only the first excited state in the thermal density matrix, we approach analytical results of the thermal correction to the entanglement spectrum at both of the small and large interval limit. We find the temperature correction reduces the large eigenvalues in the entanglement spectrum while increases the small eigenvalues in the entanglement spectrum, leading to an overall crossover changing pattern of the entanglement spectrum. Crucially, at low-temperature limit, the thermal corrections are dominated by the first excited state and depend on its scaling dimension ∆ and degeneracy g. This opens an avenue to extract universal information of underlying conformal data via the thermal entanglement spectrum. All of these analytical computation is supported from numerical simulations using 1+1 dimensional free fermion. Finally, we extend our calculation to resolve the thermal correction to the symmetry-resolved entanglement spectrum.
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title_short	Thermal correction to entanglement spectrum for conformal field theories
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