Evaporating Black Holes Coupled to a Thermal Bath
Abstract
We study the doubly holographic model of [arXiv:1908.10996] in the situation where a black hole in two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on the initial temperature of the black hole relative to the bath temperature, the black hole can lose mass by emitting Hawking radiation, stay in equilibrium with the bath or gain mass by absorbing thermal radiation from the bath. In all of these scenarios, a unitary Page curve is obtained by applying the usual prescription for holographic entanglement entropy and identifying the quantum extremal surface for the generalized entropy, using both analytical and numeric calculations. As the application of the entanglement wedge reconstruction, we further investigate the reconstruction of the black hole interior from a subsystem containing the Hawking radiation. We examine the roles of the Hawking radiation and also the purification of the thermal bath in this reconstruction.
Keywords
Cite
@article{arxiv.2007.11658,
title = {Evaporating Black Holes Coupled to a Thermal Bath},
author = {Hong Zhe Chen and Zachary Fisher and Juan Hernandez and Robert C. Myers and Shan-Ming Ruan},
journal= {arXiv preprint arXiv:2007.11658},
year = {2020}
}
Comments
77 pages, 14 figures; v2: corrected typos; added a simpler derivation to QES; expanded discussion about critical temperature