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Perturbative calculations of entanglement entropy - Journal of High Energy Physics

  • ️Kitaev, Alexei
  • ️Mon Mar 22 2021

An Erratum to this article was published on 17 August 2022

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.

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Authors and Affiliations

  1. California Institute of Technology, Pasadena, CA, 91125, USA

    Pouria Dadras & Alexei Kitaev

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  1. Pouria Dadras

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  2. Alexei Kitaev

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Correspondence to Pouria Dadras.

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ArXiv ePrint: 2011.09622

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Dadras, P., Kitaev, A. Perturbative calculations of entanglement entropy. J. High Energ. Phys. 2021, 198 (2021). https://doi.org/10.1007/JHEP03(2021)198

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  • Received: 11 December 2020

  • Accepted: 05 February 2021

  • Published: 22 March 2021

  • DOI: https://doi.org/10.1007/JHEP03(2021)198

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