Entanglement entropy in holographic moving mirror and Page curve
High Energy Physics - Theory
2021-02-17 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.2011.12005,
title = {Entanglement entropy in holographic moving mirror and Page curve},
author = {Ibrahim Akal and Yuya Kusuki and Noburo Shiba and Tadashi Takayanagi and Zixia Wei},
journal= {arXiv preprint arXiv:2011.12005},
year = {2021}
}
Comments
8 pages, 7 figures, v2: references added