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Local quenches and quantum chaos from higher spin perturbations

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

Journal of High Energy Physics, Volume: 2017, Issue: 10

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/jhep10(2017)156

Abstract

We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive particles with spin-three charge in the BTZ back- ground, we use the Wilson line prescripti...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa36198
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first_indexed 2017-10-23T13:14:29Z
last_indexed 2020-07-28T18:54:57Z
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spelling 2020-07-28T17:04:12.3632066 v2 36198 2017-10-23 Local quenches and quantum chaos from higher spin perturbations 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2017-10-23 SPH We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive particles with spin-three charge in the BTZ back- ground, we use the Wilson line prescription to compute the single-interval entanglement entropy (EE) and scrambling time following the quench. We find that the change in EE is finite (and real) only if the spin-three charge q is bounded by the energy of the perturbation E, as |q|/c &#60; E^2/c^2. We show that the Wilson line/EE correlator deep in the quenched regime and its expansion for small quench widths overlaps with the Regge limit for chaos of the out-of-time-ordered correlator. We further find that the scrambling time for the two- sided mutual information between two intervals in the thermofield double state increases with increasing spin-three charge, diverging when the bound is saturated. For larger values of the charge, the scrambling time is shorter than for pure gravity and controlled by the spin-three Lyapunov exponent 4π/β. In a CFT with higher spin chemical potential, dual to a higher spin black hole, we find that the chemical potential must be bounded to ensure that the mutual information is a concave function of time and entanglement speed is less than the speed of light. In this case, a quench with zero higher spin charge yields the same Lyapunov exponent as pure Einstein gravity. Journal Article Journal of High Energy Physics 2017 10 Springer Science and Business Media LLC 1029-8479 Quantum chaos, AdS/CFT Correspondence, Conformal and W-symmetry, Higher spin gravity 23 10 2017 2017-10-23 10.1007/jhep10(2017)156 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-28T17:04:12.3632066 2017-10-23T10:49:23.9378495 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 0036198-24102017223524.pdf 10.1007-JHEP10(2017)156.pdf 2017-10-24T22:35:24.9170000 Output 806419 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng http://creativecommons.org/licenses/by/4.0/
title Local quenches and quantum chaos from higher spin perturbations
spellingShingle Local quenches and quantum chaos from higher spin perturbations
Prem Kumar
title_short Local quenches and quantum chaos from higher spin perturbations
title_full Local quenches and quantum chaos from higher spin perturbations
title_fullStr Local quenches and quantum chaos from higher spin perturbations
title_full_unstemmed Local quenches and quantum chaos from higher spin perturbations
title_sort Local quenches and quantum chaos from higher spin perturbations
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 2017
container_issue 10
publishDate 2017
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep10(2017)156
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
active_str 0
description We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive particles with spin-three charge in the BTZ back- ground, we use the Wilson line prescription to compute the single-interval entanglement entropy (EE) and scrambling time following the quench. We find that the change in EE is finite (and real) only if the spin-three charge q is bounded by the energy of the perturbation E, as |q|/c &#60; E^2/c^2. We show that the Wilson line/EE correlator deep in the quenched regime and its expansion for small quench widths overlaps with the Regge limit for chaos of the out-of-time-ordered correlator. We further find that the scrambling time for the two- sided mutual information between two intervals in the thermofield double state increases with increasing spin-three charge, diverging when the bound is saturated. For larger values of the charge, the scrambling time is shorter than for pure gravity and controlled by the spin-three Lyapunov exponent 4π/β. In a CFT with higher spin chemical potential, dual to a higher spin black hole, we find that the chemical potential must be bounded to ensure that the mutual information is a concave function of time and entanglement speed is less than the speed of light. In this case, a quench with zero higher spin charge yields the same Lyapunov exponent as pure Einstein gravity.
published_date 2017-10-23T03:45:11Z
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score 11.013731

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