Probes of holographic thermalization in a simple model with momentum relaxation

TL;DR

This paper studies how momentum relaxation affects holographic thermalization in a simple Einstein-Maxwell-axions model, showing that increased momentum relaxation prolongs thermalization time and suppresses the process.

Contribution

It provides a detailed analysis of the impact of momentum relaxation on holographic thermalization using two-point functions and entanglement entropy, linking it to quasi-normal mode behavior.

Findings

Momentum relaxation prolongs thermalization time.

Stronger momentum relaxation suppresses the thermalization process.

Quasi-normal frequencies deviate more from zero mode with increased relaxation.

Abstract

From the viewpoint of AdS/CFT correspondence, we investigate the holographic thermalization process in a four dimensional Einstein-Maxwell-axions gravity theory, which is considered as a simple bulk theory dual to a boundary theory with momentum relaxation. We probe the thermalization process using the equal time two-point functions and the entanglement entropy with the circle profile. We analyze the effects of momentum relaxation on the process in details and results show that the momentum relaxation gives longer thermalization time, which means it suppresses the holographic thermalization process. This matches the properties of the quasi-normal frequencies for the bulk fluctuations which the frequency violates from zero mode more profoundly for stronger momentum relaxation. We claim that is reasonable because the decay of the bulk fluctuations holographically describes the approach to thermal equilibrium in the dual theory.