Islands for Entanglement Negativity in Communicating Black Holes

TL;DR

This paper calculates the holographic entanglement negativity for mixed states at finite temperature in a model with two communicating black holes, revealing entanglement structures and reproducing Page curve analogues.

Contribution

It introduces a holographic computation of entanglement negativity for bipartite mixed states in a black hole setup with shared baths, extending previous theoretical models.

Findings

Reproduces Page curve analogues for entanglement negativity.

Analyzes entanglement transfer between two black holes.

Provides a geometric interpretation of mixed state entanglement.

Abstract

We obtain the holographic entanglement negativity for bipartite mixed states at a finite temperature in baths described by conformal field theories dual to configurations involving two communicating black holes in a braneworld geometry. In this context, we analyze the mixed state entanglement structure characterized by the information transfer between the black holes. The model corresponds to a configuration of two dimensional eternal JT black holes in a braneworld geometry involving two Planck branes coupled through shared bath systems described by $CFT_2$s. Our results reproduce analogue of the Page curves for the entanglement negativity obtained earlier in the context of random matrix theory and from geometric evaporation in JT black hole configurations.