Information Flow In Black Hole Equilibration

Abstract

We study black hole evaporation and equilibration in the doubly holographic AEM4Z model, which consists of a double sided black hole in JT gravity with holographic matter. At t=0, the right side of the black hole is coupled to a bath which consists of the same holographic matter on a half line. Beginning with the evaporation model in which the bath is at zero temperature, we compute the generalized entropy of the left black hole plus different bath intervals using the HRT prescription, and find the corresponding Page curves. By studying the requirements for the Page transition, we study the structure of how the black hole interior is encoded in the Hawking radiation during the evaporation process. We then repeat the analysis with finite temperature baths, and find the importance of the bath purification for reconstruction of the black hole interior past a certain critical temperature.