Zhang, Pengfei and Liu, Chunxiao and Chen, Xiao (2020) Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models. SciPost Physics, 8 . Art. No. 94. ISSN 2542-4653. doi:10.21468/SciPostPhys.8.6.094. https://resolver.caltech.edu/CaltechAUTHORS:20200511-102846854
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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 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.
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| 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. | |||||||||
| Group: | Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics | |||||||||
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| DOI: | 10.21468/SciPostPhys.8.6.094 | |||||||||
| Record Number: | CaltechAUTHORS:20200511-102846854 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200511-102846854 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 103099 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 11 May 2020 17:38 | |||||||||
| Last Modified: | 16 Nov 2021 18:18 |
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