Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models

• URL: http://arxiv.org/abs/2301.03189v2
• Date: Tue, 10 Jan 2023 01:48:15 GMT
• Title: Information Scrambling and Entanglement Dynamics of Complex Brownian Sachdev-Ye-Kitaev Models
• Authors: Pengfei Zhang
• Abstract summary: We first derive the effective theory for scramblons in a single cBSYK model. We then study the entanglement dynamics in cBSYK chains.
• Score: 5.623221917573403
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 R\'enyi 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 $U(2)_L\otimes U(2)_R$ symmetry for non-interacting models.

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