Entanglement phase transition in holographic pseudo entropy

• Published in: The journal of high energy physics Vol. 2024; no. 3; pp. 60 - 67
• Main Authors: Kanda, Hiroki, Kawamoto, Taishi, Suzuki, Yu-ki, Takayanagi, Tadashi, Tasuki, Kenya, Wei, Zixia
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 12.03.2024; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Boundary Quantum Field Theory; Branes; Classical and Quantum Gravitation; Critical point; Elementary Particles; Entanglement; Entropy; Evolution; Holography; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Scalars; String Theory; Boundary Quantum Field Theory; AdS-CFT Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP03(2024)060

A bstract In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the entanglement phase transition behavior where the time evolution of entropy changes from the linear growth to the trivial one via a critical logarithmic evolution. In this model, the imaginary valued scalar field localized on the brane controls the phase transition, which is analogous to the amount of projections in the measurement induced phase transition. Next, we study the AdS/BCFT model with a brane localized gauge field, where the phase transition looks different in that there is no logarithmically evolving critical point. Finally, we discuss a bulk analog of the above model by considering a double Wick rotation of the Janus solution. We compute the holographic pseudo entropy in this model and show that the entropy grows logarithmically.