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Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model

2020/04/18 by Pengfei Zhang · 1 citation
Physics and Astronomy · #hep-th #cond-mat.str-el

paper · pdf · doi:10.1007/jhep06(2020)143

published as JHEP06(2020)143 · 18 pages, 5 figures

arxiv created 2020/04/18 · arxiv updated 2020/11/05

Abstract

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point approximation in the large-N limit. We find a first-order transition exist when tuning the subsystem size for the q=4 case, while it is absent for the q=2 case. We further study the entanglement dynamics for such states under the real-time evolution for noninteracting, weakly interacting and strongly interacting SYK(-like) models.

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