Entanglement thermodynamics for charged black holes

TL;DR

This paper explores the behavior of quantum entanglement entropy in the context of charged black holes in AdS space, revealing thermodynamic relations and temperature-dependent properties of the entanglement in the dual field theory.

Contribution

It provides a detailed analysis of entanglement entropy in charged black hole backgrounds, establishing a first law of entanglement thermodynamics at low temperatures.

Findings

Entanglement entropy exhibits distinct low and high temperature behaviors.

A first law of entanglement thermodynamics is derived for the boundary theory.

Temperature and charge influence the entanglement entropy in predictable ways.

Abstract

The holographic quantum entanglement entropy for an infinite strip region of the boundary for the field theory dual to charged black holes in ${\cal A}dS_{3+1}$ is investigated. In this framework we elucidate the low and high temperature behavior of the entanglement entropy pertaining to various limits of the black hole charge. In the low temperature regime we establish a first law of entanglement thermodynamics for the boundary field theory.