Holographic subregion complexity under a thermal quench

• Published in: The journal of high energy physics Vol. 2018; no. 7; pp. 1 - 23
• Main Authors: Chen, Bin, Li, Wen-Ming, Yang, Run-Qiu, Zhang, Cheng-Yong, Zhang, Shao-Jun
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Classical and Quantum Gravitation; Complexity; Elementary Particles; Entanglement; Evolution; Gauge-gravity correspondence; High energy physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity; Relativity Theory; Spacetime; String Theory; AdS-CFT Correspondence; Gauge-gravity correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP07(2018)034

A bstract We study the evolution of holographic subregion complexity under a thermal quench in this paper. From the subregion CV proposal in the AdS/CFT correspondence, the subregion complexity in the CFT is holographically captured by the volume of the codimension-one surface enclosed by the codimension-two extremal entanglement surface and the boundary subregion. Under a thermal quench, the dual gravitational configuration is described by a Vaidya-AdS spacetime. In this case we find that the holographic subregion complexity always increases at early time, and after reaching a maximum it decreases and gets to saturation. Moreover we notice that when the size of the strip is large enough and the quench is fast enough, in AdS d +1 ( d ≥ 3) spacetime the evolution of the complexity is discontinuous and there is a sudden drop due to the transition of the extremal entanglement surface. We discuss the effects of the quench speed, the strip size, the black hole mass and the spacetime dimension on the evolution of the subregion complexity in detail numerically.