Evaporating black holes coupled to a thermal bath

• Published in: The journal of high energy physics Vol. 2021; no. 1; pp. 1 - 71
• Main Authors: Chen, Hong Zhe, Fisher, Zachary, Hernandez, Juan, Myers, Robert C., Ruan, Shan-Ming
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 13-01-2021; Springer Nature B.V; SpringerOpen
• Subjects: 2D Gravity; AdS-CFT Correspondence; Black Holes; Classical and Quantum Gravitation; Elementary Particles; Entanglement; Entropy; Gravity; Hawking radiation; High energy physics; Holography; Islands; Mathematical functions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Reconstruction; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Subsystems; Thermal baths; Thermal radiation; Two dimensional models; AdS-CFT Correspondence; 2D Gravity; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2021)065

A
bstract
We study the doubly holographic model of [1] 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.