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Entanglement entropy in holographic moving mirror and Page curve

2020/11/30 by Ibrahim Akal, Yuya Kusuki, Noburo Shiba +2 · 1 citation
Physics and Astronomy · #hep-th #cond-mat.stat-mech #gr-qc

paper · pdf · doi:10.1103/physrevlett.126.061604

published as Phys. Rev. Lett. 126, 061604 (2021) · 8 pages, 7 figures, v2: references added

arxiv created 2020/12/02 · arxiv updated 2021/02/17

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 a 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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