Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement Entropy and its Quench Dynamics for Pure States of the
  Sachdev-Ye-Kitaev model   Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid
behavior and maximal chaos. In this work, we study the entanglement R\'enyi
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.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics