When Black Holes Relax in a Cold Bath: Evolving Page Curves for Black Holes Coupled to Cooling Baths

TL;DR

This paper investigates how black holes in a cooling bath evolve over time, focusing on the changes in their entanglement entropy and resulting Page curves under various cooling conditions.

Contribution

It introduces a numerical study of black hole entropy evolution in dynamically cooled baths, extending understanding of black hole thermodynamics and information recovery.

Findings

Page curves depend on cooling profiles

Black holes exhibit distinct entropy evolution patterns

Cooling influences the entanglement entropy dynamics

Abstract

We consider scenarios where Jackiw-Teitelboim black holes are attached to baths whose temperatures can be manipulated externally. We consider the bath to be cooled continuously and numerically investigate the subsequent evolution of the generalized entropies of the black hole. Page curves corresponding to several different cooling profiles of the bath are obtained.