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Perturbative calculations of entanglement entropy

Dadras, Pouria and Kitaev, Alexei (2021) Perturbative calculations of entanglement entropy. Journal of High Energy Physics, 2021 (3). Art. No. 198. ISSN 1029-8479. doi:10.1007/jhep03(2021)198. https://resolver.caltech.edu/CaltechAUTHORS:20210324-090318969

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Abstract

This paper is an attempt to extend the recent understanding of the Page curve for evaporating black holes to more general systems coupled to a heat bath. Although calculating the von Neumann entropy by the replica trick is usually a challenge, we have identified two solvable cases. For the initial section of the Page curve, we sum up the perturbation series in the system-bath coupling κ; the most interesting contribution is of order 2s, where s is the number of replicas. For the saturated regime, we consider the effect of an external impulse on the entropy at a later time and relate it to OTOCs. A significant simplification occurs in the maximal chaos case such that the effect may be interpreted in terms of an intermediate object, analogous to the branching surface of a replica wormhole.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/jhep03(2021)198DOIArticle
https://arxiv.org/abs/2011.09622arXivDiscussion Paper
ORCID:
AuthorORCID
Kitaev, Alexei0000-0002-5777-642X
Additional Information:© 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: December 11, 2020; Accepted: February 5, 2021; Published: March 22, 2021. We thank Douglas Stanford, Juan Maldacena, Pengfei Zhang, and Yiming Chen for useful discussions. We gratefully acknowledge the support by the Simons Foundation under grant 376205. A.K. is also supported by the Simons Foundation through the “It from Qubit” program, as well as by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation.
Group:Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Simons Foundation376205
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
SCOAP3UNSPECIFIED
Subject Keywords:AdS-CFT Correspondence, Black Holes, 2D Gravity
Issue or Number:3
DOI:10.1007/jhep03(2021)198
Record Number:CaltechAUTHORS:20210324-090318969
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210324-090318969
Official Citation:Dadras, P., Kitaev, A. Perturbative calculations of entanglement entropy. J. High Energ. Phys. 2021, 198 (2021). https://doi.org/10.1007/JHEP03(2021)198
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108541
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Mar 2021 19:28
Last Modified:24 Mar 2021 19:28

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