SciPost Submission Page
Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
by Pengfei Zhang, Chunxiao Liu, Xiao Chen
|As Contributors:||Pengfei Zhang|
|Submitted by:||Zhang, Pengfei|
|Submitted to:||SciPost Physics|
|Subject area:||Statistical and Soft Matter Physics|
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  and can be well approximated by thermal entropy with an effective temperature  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.