• Open Access

Entanglement Entropy in a Holographic Moving Mirror and the Page Curve

Ibrahim Akal, Yuya Kusuki, Noburo Shiba, Tadashi Takayanagi, and Zixia Wei
Phys. Rev. Lett. 126, 061604 – Published 12 February 2021

Abstract

We calculate the time evolution of entanglement entropy in two-dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be interpreted as the production of entangled pairs. For the setup, which mimics black hole formation and evaporation, we find that the evolution follows the ideal Page curve. We perform these computations by constructing the gravity dual of the moving mirror model via holography. We also argue that our holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.

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  • Received 8 December 2020
  • Accepted 25 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.061604

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Ibrahim Akal1, Yuya Kusuki1, Noburo Shiba1, Tadashi Takayanagi1,2,3, and Zixia Wei1

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan
  • 2Inamori Research Institute for Science, 620 Suiginya-cho, Shimogyo-ku, Kyoto 600-8411, Japan
  • 3Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8582, Japan

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Issue

Vol. 126, Iss. 6 — 12 February 2021

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