Page Curve for Entanglement Negativity through Geometric Evaporation

TL;DR

This paper calculates the entanglement negativity for black hole systems using a geometric approach, reproducing the Page curve behavior and providing insights into quantum entanglement during black hole evaporation.

Contribution

It introduces a geometric method to compute entanglement negativity in black hole models, aligning with recent diagrammatic results from random matrix theory.

Findings

Entanglement negativity follows a Page curve during evaporation.

Results match diagrammatic techniques from random matrix theory.

Provides a geometric perspective on quantum entanglement in black holes.

Abstract

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through the partial dimensional reduction of a three dimensional BTZ black hole. Our results exactly reproduce the analogues of the Page curve for the entanglement negativity which were recently determined through diagrammatic technique developed in the context of random matrix theory.