Published June 26, 2020
| Submitted + Published
Journal Article
Open
Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
- Creators
-
Zhang, Pengfei
- Liu, Chunxiao
- Chen, Xiao
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 [1] and can be well approximated by thermal entropy with an effective temperature [2] when subsystem size M ≤ N/2. We also consider generalizations of the SYK model with quadratic random hopping term or U(1) charge conservation.
Additional Information
© 2020 P. Zhang et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 26-03-2020; Accepted 23-06-2020; Published 26-06-2020. We thank Leon Balents, Yiming Chen, Tarun Grover, Yingfei Gu and Yichen Huang for helpful discussions. PZ would like to thank his wife Ning Sun for helping him improve the figures drawing. PZ acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech. CL was supported by the DOE, Office of Science, Basic Energy Sciences under award no. DE-FG02-08ER46524.Attached Files
Published - SciPostPhys_8_6_094.pdf
Submitted - 2003.09766.pdf
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2003.09766.pdf
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Additional details
- Eprint ID
- 103099
- Resolver ID
- CaltechAUTHORS:20200511-102846854
- Walter Burke Institute for Theoretical Physics, Caltech
- DE-FG02-08ER46524
- Department of Energy (DOE)
- Created
-
2020-05-11Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics