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Title: Subsystem Rényi entropy of thermal ensembles for SYK-like models

Abstract

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 N / 2 . We also consider generalizations of the SYK model with quadratic random hopping term or U(1) U ( 1 ) charge conservation.

Authors:
 [1];  [2];  [3]
  1. California Institute of Technology
  2. University of California, Santa Barbara
  3. Boston College
Publication Date:
Research Org.:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1635132
Alternate Identifier(s):
OSTI ID: 1800577
Grant/Contract Number:  
FG02-08ER46524
Resource Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 8 Journal Issue: 6; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Country of Publication:
Netherlands
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics

Citation Formats

Zhang, Pengfei, Liu, Chunxiao, and Chen, Xiao. Subsystem Rényi entropy of thermal ensembles for SYK-like models. Netherlands: N. p., 2020. Web. doi:10.21468/SciPostPhys.8.6.094.
Zhang, Pengfei, Liu, Chunxiao, & Chen, Xiao. Subsystem Rényi entropy of thermal ensembles for SYK-like models. Netherlands. https://doi.org/10.21468/SciPostPhys.8.6.094
Zhang, Pengfei, Liu, Chunxiao, and Chen, Xiao. Fri . "Subsystem Rényi entropy of thermal ensembles for SYK-like models". Netherlands. https://doi.org/10.21468/SciPostPhys.8.6.094.
@article{osti_1635132,
title = {Subsystem Rényi entropy of thermal ensembles for SYK-like models},
author = {Zhang, Pengfei and Liu, Chunxiao and Chen, Xiao},
abstractNote = {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 ≤ N / 2 . We also consider generalizations of the SYK model with quadratic random hopping term or U(1) U ( 1 ) charge conservation.},
doi = {10.21468/SciPostPhys.8.6.094},
journal = {SciPost Physics},
number = 6,
volume = 8,
place = {Netherlands},
year = {Fri Jun 26 00:00:00 EDT 2020},
month = {Fri Jun 26 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.21468/SciPostPhys.8.6.094

Citation Metrics:
Cited by: 28 works
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