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Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models

by Pengfei Zhang, Chunxiao Liu, Xiao Chen

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

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