Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models

A bstract In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density n . We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-f...

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Bibliographic Details
Published in:The journal of high energy physics 2023-04, Vol.2023 (4), p.105-22, Article 105
Main Author: Zhang, Pengfei
Format: Article
Language:English
Subjects:
1/N Expansion
Chain entanglement
Charge density
Classical and Quantum Gravitation
Elementary Particles
Entanglement
Entropy (Information theory)
Field Theories in Lower Dimensions
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Velocity
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Summary:A bstract In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density n . We first derive the effective theory for scramblons in a single cBSYK model, which gives closed-form expressions for the late-time OTOC and operator size. In particular, the result for OTOC is consistent with numerical observations in [ 1 ]. We then study the entanglement dynamics in cBSYK chains. We derive the density dependence of the entanglement velocity for both Rényi entropies and the Von Neumann entropy, with a comparison to the butterfly velocity. We further consider adding repeated measurements and derive the effective theory of the measurement induced transition which shows U(2) L ⊗ U(2) R symmetry for non-interacting models.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2023)105