Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
arXiv:2004.05339 · doi:10.1007/JHEP06(2020)143
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- limit. We find a first-order transition exist when tuning the subsystem size for the case, while it is absent for the 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.
arXiv comment18 pages, 5 figures
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