Huang, Yichen and Gu, Yingfei (2019) Eigenstate entanglement in the Sachdev-Ye-Kitaev model. Physical Review D, 100 (4). Art. No. 041901. ISSN 2470-0010. doi:10.1103/PhysRevD.100.041901. https://resolver.caltech.edu/CaltechAUTHORS:20190805-081806167
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Abstract
We study the entanglement entropy of eigenstates (including the ground state) of the Sachdev-Ye-Kitaev model. We argue for a volume law, whose coefficient can be calculated analytically from the density of states. The coefficient depends on not only the energy density of the eigenstate but also the subsystem size. Very recent numerical results of Liu et al. confirm our analytical results.
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| Additional Information: | © 2019 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 30 May 2018; published 2 August 2019. We would like to thank Xiao-Liang Qi for pointing out Lemma 1. Y. H. acknowledges funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant No. PHY-1733907). Y. H. is also supported by NSF DMR-1654340. Y. G. is supported by the Gordon and Betty Moore Foundation EPiQS Initiative through Grant No. GBMF-4306. | ||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||
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| Issue or Number: | 4 | ||||||||||||
| DOI: | 10.1103/PhysRevD.100.041901 | ||||||||||||
| Record Number: | CaltechAUTHORS:20190805-081806167 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190805-081806167 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 97627 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 05 Aug 2019 16:12 | ||||||||||||
| Last Modified: | 16 Nov 2021 17:33 |
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