Phase transition in von Neumann entropy from replica symmetry breaking

A bstract We study the entanglement transition in monitored Brownian SYK chains in the large- N limit. Without measurement the steady state n -th Rényi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the n → 1 limit. In the presence of measurem...

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Bibliographic Details
Published in:The journal of high energy physics 2023-11, Vol.2023 (11), p.221-34, Article 221
Main Authors: Jian, Shao-Kai, Swingle, Brian
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Broken symmetry
Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy
Entropy (Information theory)
High energy physics
Holography and Condensed Matter Physics (AdS/CMT)
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
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Summary:A bstract We study the entanglement transition in monitored Brownian SYK chains in the large- N limit. Without measurement the steady state n -th Rényi entropy is obtained by summing over a class of solutions, and is found to saturate to the Page value in the n → 1 limit. In the presence of measurements, the analytical continuation n → 1 is performed using the cyclic symmetric solution. The result shows that as the monitoring rate increases, a continuous von Neumann entanglement entropy transition from volume-law to area-law occurs at the point of replica symmetry unbreaking.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2023)221