Subsystem Rényi entropy of thermal ensembles for SYK-like models
Abstract
The Sachdev-Ye-Kitaev model is an 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 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 . We also consider generalizations of the SYK model with quadratic random hopping term or U(1) charge conservation.
- Authors:
-
- California Institute of Technology
- University of California, Santa Barbara
- 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}
}
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https://doi.org/10.21468/SciPostPhys.8.6.094
https://doi.org/10.21468/SciPostPhys.8.6.094
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Cited by: 28 works
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