Page Curve of Effective Hawking Radiation

TL;DR

This paper investigates the entanglement entropy and Page curve of Hawking radiation in higher-dimensional black holes using double holography, revealing a new Ryu-Takayanagi surface and phase transitions among different surfaces.

Contribution

It introduces a new type of Ryu-Takayanagi surface in the holographic setup and analyzes phase transitions among multiple surfaces affecting the Page curve.

Findings

Discovery of a new Ryu-Takayanagi surface type.

Phase transition among three Ryu-Takayanagi surfaces.

Phase diagram of the entanglement entropy at different temperatures.

Abstract

We study the generalized entanglement entropy in the higher dimensional two-sided eternal black hole by double holography. By introducing an end-of-the-world ETW brane, which defines the time-dependent effective Hawking radiation region, we find a new type of Ryu-Takayanagi surface besides the Hartman-Maldacena surface and the island Ryu-Takayanagi surface known previously. We study the phase transition among the three Ryu-Takayanagi surfaces at different temperatures and obtain the phase diagram as well as the Page curve.