Entanglement temperature for black branes with hyperscaling violation

TL;DR

This paper derives an explicit formula for entanglement temperature in hyperscaling violation backgrounds, revealing its universal behavior near zero hyperscaling violation exponent, and explores its dependence on subsystem shape.

Contribution

It provides the first explicit formula for entanglement temperature in hyperscaling violation backgrounds with different subsystem geometries.

Findings

Explicit formula for entanglement temperature for strip and ball subsystems

Universal form of entanglement temperature near zero hyperscaling violation

Dependence of entanglement temperature on subsystem shape

Abstract

Entanglement temperature is an interesting quantity which relates the increased amount of entanglement entropy and energy for a weakly excited state in entanglement first-law, it is proportional to the inverse of the size of the entanglement subsystem and only depends on the shape of the entanglement region. We find the explicit formula of entanglement temperature for the general hyperscaling violation backgrounds with a strip-subsystem. We then investigate the entanglement temperature for a round ball-subsystem, we check that the entanglement temperature have a universal form when the hyperscaling violation exponent is near zero.