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Universal corrections to entanglement entropy of local quantum quenches

Justin R. David, Surbhi Khetrapal, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2016, Issue: 8

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/jhep08(2016)127

Abstract

We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa28708
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first_indexed 2016-06-06T18:26:29Z
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spelling 2020-08-03T13:06:39.4207069 v2 28708 2016-06-06 Universal corrections to entanglement entropy of local quantum quenches 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2016-06-06 SPH We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by the action of a conformal primary field, the time dependence of Renyi and entanglement entropies at order \epsilon^2 is universal. It is determined by the expectation value of the stress tensor in the replica geometry and proportional to the conformal dimension of the primary field generating the local excitation. We also show that in CFTs with a gravity dual, the \epsilon^2 correction to the holographic entanglement entropy following a local quench precisely agrees with the CFT prediction. We then consider CFTs admitting a higher spin symmetry and turn on a higher spin chemical potential \mu. We calculate the time dependence of the order \epsilon^2 correction to the entanglement entropy for small \mu, and show that the contribution at order \mu^2 is universal. We verify our arguments against exact results for minimal models and the free fermion theory. Journal Article Journal of High Energy Physics 2016 8 Springer Science and Business Media LLC 1029-8479 Field Theories in Lower Dimensions; AdS-CFT Correspondence; Higher Spin Symmetry 22 8 2016 2016-08-22 10.1007/jhep08(2016)127 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-08-03T13:06:39.4207069 2016-06-06T14:38:14.5441024 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Justin R. David 1 Surbhi Khetrapal 2 Prem Kumar 0000-0003-0867-4213 3 0028708-06062016144129.pdf JHEP08(2016)127.pdf 2016-06-06T14:41:29.4370000 Output 973702 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution 4.0 International License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0
title Universal corrections to entanglement entropy of local quantum quenches
spellingShingle Universal corrections to entanglement entropy of local quantum quenches
Prem Kumar
title_short Universal corrections to entanglement entropy of local quantum quenches
title_full Universal corrections to entanglement entropy of local quantum quenches
title_fullStr Universal corrections to entanglement entropy of local quantum quenches
title_full_unstemmed Universal corrections to entanglement entropy of local quantum quenches
title_sort Universal corrections to entanglement entropy of local quantum quenches
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Justin R. David
Surbhi Khetrapal
Prem Kumar
format Journal article
container_title Journal of High Energy Physics
container_volume 2016
container_issue 8
publishDate 2016
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep08(2016)127
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by the action of a conformal primary field, the time dependence of Renyi and entanglement entropies at order \epsilon^2 is universal. It is determined by the expectation value of the stress tensor in the replica geometry and proportional to the conformal dimension of the primary field generating the local excitation. We also show that in CFTs with a gravity dual, the \epsilon^2 correction to the holographic entanglement entropy following a local quench precisely agrees with the CFT prediction. We then consider CFTs admitting a higher spin symmetry and turn on a higher spin chemical potential \mu. We calculate the time dependence of the order \epsilon^2 correction to the entanglement entropy for small \mu, and show that the contribution at order \mu^2 is universal. We verify our arguments against exact results for minimal models and the free fermion theory.
published_date 2016-08-22T03:34:59Z
_version_ 1763751493146509312
score 11.016235

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