Zhang, Pengfei (2020) Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model. Journal of High Energy Physics, 2020 (6). Art.No. 143. ISSN 1029-8479. doi:10.1007/jhep06(2020)143. https://resolver.caltech.edu/CaltechAUTHORS:20200624-104211372
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Abstract
Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement Rényi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use the path-integral approach and take the saddle point approximation in the large-N limit. We find a first-order transition exist when tuning the subsystem size for the q = 4 case, while it is absent for the q = 2 case. We further study the entanglement dynamics for such states under the real-time evolution for noninteracting, weakly interacting and strongly interacting SYK(-like) models.
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| Additional Information: | © 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received 21 April 2020. Accepted 06 June 2020. Published 23 June 2020. We thank Xiao Chen, Yingfei Gu, Chunxiao Liu for discussion. PZ acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech. | |||||||||
| Group: | Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter | |||||||||
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| Subject Keywords: | 1/N Expansion, Field Theories in Lower Dimensions, Models of Quantum Gravity | |||||||||
| Issue or Number: | 6 | |||||||||
| DOI: | 10.1007/jhep06(2020)143 | |||||||||
| Record Number: | CaltechAUTHORS:20200624-104211372 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200624-104211372 | |||||||||
| Official Citation: | Zhang, P. Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model. J. High Energ. Phys. 2020, 143 (2020). https://doi.org/10.1007/JHEP06(2020)143 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 103996 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 24 Jun 2020 21:23 | |||||||||
| Last Modified: | 16 Nov 2021 18:27 |
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