Subsystem Rényi entropy of thermal ensembles for SYK-like models

Journal Article · Fri Jun 26 00:00:00 EDT 2020 · SciPost Physics

DOI:https://doi.org/10.21468/SciPostPhys.8.6.094· OSTI ID:1635132

Zhang, Pengfei ^[1]; Liu, Chunxiao ^[2]; Chen, Xiao ^[3]

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1. California Institute of Technology
2. University of California, Santa Barbara
3. Boston College

The Sachdev-Ye-Kitaev model is an N $N$ -modes fermionic model with infinite range random interactions. In this work, we study the thermal Rényi entropy for a subsystem of the SYK model using the path-integral formalism in the large- N $N$ 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 $M\le N/2$ . We also consider generalizations of the SYK model with quadratic random hopping term or U(1) $U\left(1\right)$ charge conservation.

• Research Organization: Univ. of California, Santa Barbara, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: FG02-08ER46524
• OSTI ID: 1635132
• Alternate ID(s): OSTI ID: 1800577
• Journal Information: SciPost Physics, Journal Name: SciPost Physics Vol. 8 Journal Issue: 6; ISSN 2542-4653
• Publisher: Stichting SciPost
• Country of Publication: Netherlands
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Physics