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
- doi: 10.21468/SciPostPhys.8.6.094
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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.
Cited by 32
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Pengfei Zhang,
- 2 Chunxiao Liu,
- 3 Xiao Chen
- 1 California Institute of Technology [CalTech]
- 2 University of California, Santa Barbara [UCSB]
- 3 Boston College [BC]
Funders for the research work leading to this publication