Holographic subregion complexity under thermal quench in Einstein-Maxwell-Axions theory with momentum relaxation

TL;DR

This paper studies how holographic entanglement entropy and complexity evolve during a thermal quench in a theory with momentum relaxation, revealing that increased relaxation suppresses discontinuities in these quantities.

Contribution

It introduces the analysis of holographic entanglement entropy and complexity under thermal quench in Einstein-Maxwell-Axion theory with momentum relaxation, highlighting the suppression of discontinuities.

Findings

Large black hole charge or strip width cause swallow-tail behavior.

Momentum relaxation suppresses discontinuities in HEE and HC.

High momentum relaxation restores continuity in HEE and HC.

Abstract

We investigate the evolution of holographic entanglement entropy (HEE) and holographic complexity (HC) under a thermal quench in Einstein-Maxwell-Axion theory (EMA), which is dual to a field theory with momentum relaxation on the boundary. A strip-shaped boundary geometry is utilized to calculate HEE and HC via `entropy=surface' and `complexity=volume' conjecture, respectively. By fixing other parameters we claim that either large enough black hole charge or width of the strip will introduce swallow-tail behaviors in HEE and multi-values in HC due to the discontinuity of the minimum Hubeny-Rangamani-Takayanagi (HRT) surface. Meanwhile, we explore the effects of momentum relaxation on the evolution of HEE and HC. The results present that the momentum relaxation will suppress the discontinuity to occur as it increases. For large enough momentum relaxation the continuity of HEE and HC will be recovered.