Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model

Creators: Zhang, Pengfei

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.

Additional Information

© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 21 April 2020. Accepted 06 June 2020. Published 23 June 2020. We thank Xiao Chen, Yingfei Gu, Chunxiao Liu for discussion. PZ acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.

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