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- Title
Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model.
- Authors
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.
- Subjects
FERMI liquids; ENTROPY; QUANTUM gravity; DIMENSION theory (Algebra)
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 6, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP06(2020)143