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Subsystem Rényi entropy of thermal ensembles for SYK-like models

Pengfei Zhang, Chunxiao Liu, Xiao Chen

SciPost Phys. 8, 094 (2020) · published 26 June 2020


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.

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Rényi entropy Sachdev-Ye-Kitaev (SYK) model

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