Subsystem R\'enyi Entropy of Thermal Ensembles for SYK-like models

• URL: http://arxiv.org/abs/2003.09766v2
• Date: Tue, 24 Mar 2020 23:29:57 GMT
• Title: Subsystem R\'enyi Entropy of Thermal Ensembles for SYK-like models
• Authors: Pengfei Zhang, Chunxiao Liu and Xiao Chen
• Abstract summary: The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. We study the thermal R'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$ limit.
• Score: 20.29920872216941
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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