Zhang, Pengfei (2022) Quantum entanglement in the Sachdev-Ye-Kitaev Model and its generalizations. Frontiers of Physics, 17 (4). Art. No. 43201. ISSN 2095-0462. doi:10.1007/s11467-022-1162-5. https://resolver.caltech.edu/CaltechAUTHORS:20220329-173622413
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Abstract
Entanglement is one of the most important concepts in quantum physics. We review recent progress in understanding the quantum entanglement in many-body systems using large-N solvable models: the Sachdev—Ye—Kitaev (SYK) model and its generalizations. We present the study of entanglement entropy in the original SYK model using three different approaches: the exact diagonalization, the eigenstate thermalization hypothesis, and the path-integral representation. For coupled SYK models, the entanglement entropy shows linear growth and saturation at the thermal value. The saturation is related to replica wormholes in gravity. Finally, we consider the steady-state entanglement entropy of quantum many-body systems under repeated measurements. The traditional symmetry breaking in the enlarged replica space leads to the measurement-induced entanglement phase transition.
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| Additional Information: | © 2022 Springer. Received 07 March 2022; Accepted 28 March 2022; Published 26 April 2022. We acknowledge helpful discussions with Xiao Chen, Yiming Chen, Yingfei Gu, Yichen Huang, and Chunxiao Liu. We thank Yingfei Gu, Yiming Chen, Chunxiao Liu, and Ning Sun for carefully reading the manuscript and giving valuable suggestions. P. Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech. | |||||||||
| Group: | Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics | |||||||||
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| Subject Keywords: | SYK model, entanglement entropy, large-N expansion | |||||||||
| Issue or Number: | 4 | |||||||||
| DOI: | 10.1007/s11467-022-1162-5 | |||||||||
| Record Number: | CaltechAUTHORS:20220329-173622413 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220329-173622413 | |||||||||
| Official Citation: | Zhang, P. Quantum entanglement in the Sachdev—Ye—Kitaev model and its generalizations. Front. Phys. 17, 43201 (2022). https://doi.org/10.1007/s11467-022-1162-5 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 114113 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 01 Apr 2022 17:57 | |||||||||
| Last Modified: | 26 Apr 2022 21:35 |
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