Entanglement wedge minimum cross-section in holographic massive gravity theory

• Published in: The journal of high energy physics Vol. 2021; no. 8; pp. 1 - 22
• Main Authors: Liu, Peng, Niu, Chao, Shi, Zi-Jian, Zhang, Cheng-Yong
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 23.08.2021; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black Holes; Classical and Quantum Gravitation; Cross-sections; Elementary Particles; High energy physics; Holography; Holography and condensed matter physics (AdS/CMT); Information seeking behavior; Phase transitions; Physics; Physics and Astronomy; Quantum entanglement; Quantum Field Theories; Quantum Field Theory; Quantum phenomena; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Superconductors; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP08(2021)113

A bstract We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.