Realization of Holographic Entanglement Temperature for a Nearly-AdS boundary

TL;DR

This paper explores the holographic entanglement temperature in nearly-AdS spaces, revealing maximum temperature bounds and phase transition predictions related to boundary thermalization.

Contribution

It introduces a novel analysis of holographic entanglement temperature maxima and predicts a first-order phase transition at a critical temperature in nearly-AdS boundary scenarios.

Findings

Maximum entanglement temperature derived as T^{Max}_{E} = (4G_3 psilon_{\u221e})/l

Prediction of a first-order phase transition at a critical temperature T_c  T_{E}

Boundary thermalization behavior linked to phase transition dynamics

Abstract

Computing the holographic entanglement entropy proposed by Ryu-Takayanagi shows that thermal energy near boundary region in $AdS_3$ gain maximum of the temperature. The absolute maxima of temperature is $T^{Max}_{E}= \frac{4G_3 \epsilon_{\infty}}{l}$. By simple physical investigations it has become possible to predict a phase transition of first order at critical temperature $T_c\leq T_{E}$. As they predict a tail or root towards which the AdS space ultimately tend, the boundary is considered thermalized. The Phase transitions of this form have received striking theoretical and experimental verifications so far.