Effect of massive potentials on the holographic thermalization

TL;DR

This paper numerically investigates how different massive potentials in dRGT gravity influence holographic thermalization, revealing that positive potentials accelerate thermalization and affect entanglement entropy and mutual information evolution.

Contribution

It introduces a detailed numerical analysis of massive potentials' effects on holographic thermalization in AdS and Gauss-Bonnet backgrounds, highlighting the role of potential signs and magnitudes.

Findings

Positive potentials speed up thermalization.

Critical entangling surface size affects entanglement entropy reduction.

Order of saturation times: a1 > a2 > a3.

Abstract

We perform a numerical study to recognize the difference between various massive potentials in the dRGT massive gravity on the holographic thermalization in the AdS and AdS Gauss-Bonnet gravities. The massive potential in $4+1$ dimensions includes three symmetric polynomial terms which we denote them as $a_1$, $a_2$ and $a_3$ terms. We observe, in the case of time evolution of entanglement entropy that there is a critical size of the entangling surface on the boundary below which both signs of $a_1$ and above the critical size $a_3$ are able to reduce the thermal value of entanglement entropy. Our numerical computations show the more positive $a_i$'s are, the faster system reaches to its thermal value. The order of saturation time of positive potentials when supplemented to AdS or AdS-GB backgrounds is as $t_{sat}(a_{1})>t_{sat}(a_{2})>t_{sat}(a_{3})$. We also explore these effects on the time evolution of the holographic mutual information.