Holographic subregion complexity under a thermal quench in an Einstein-Maxwell-axion theory with momentum relaxation
Yuting Zhou, Xiao‐Mei Kuang, Yong-Zhuang Li, Jian-Pin Wu
Abstract
We investigate the evolution of holographic entanglement entropy (HEE) and holographic complexity (HC) under a thermal quench in Einstein-Maxwell-axion theory, 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 ``$\text{entropy}=\text{surface}$'' and ``$\text{complexity}=\text{volume}$'' 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 multivalues in HC due to the discontinuity of the minimum Hubeny-Rangamani-Takayanagi 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.