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Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models

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.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Zhang, Pengfei0000-0002-4226-1394
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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Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-FG02-08ER46524
Record Number:CaltechAUTHORS:20200511-102846854
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103099
Deposited By: Tony Diaz
Deposited On:11 May 2020 17:38
Last Modified:16 Nov 2021 18:18

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