# Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models

### Submission summary

 As Contributors: Pengfei Zhang Arxiv Link: https://arxiv.org/abs/2003.09766v2 Date submitted: 2020-03-26 Submitted by: Zhang, Pengfei Submitted to: SciPost Physics Discipline: Physics Subject area: Statistical and Soft Matter Physics Approach: Theoretical

### Abstract

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$ limit. The results are consistent with exact diagonalization [1] and can be well approximated by thermal entropy with an effective temperature [2] when subsystem size $M\leq N/2$. We also consider generalizations of the SYK model with quadratic random hopping term or $U(1)$ charge conservation.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2003.09766v2 on 26 March 2020