Quantum entanglement in the Sachdev–Ye–Kitaev model and its generalizations

doi:10.1007/s11467-022-1162-5

Frontiers of Physics

2022, Vol. 17

Issue (4): 43201 https://doi.org/10.1007/s11467-022-1162-5

本期目录

Quantum entanglement in the Sachdev–Ye–Kitaev model and its generalizations

Pengfei Zhang(

)

Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, CA 91125, USA

全文: PDF(4753 KB)

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 pathintegral 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.

Key words： SYK model entanglement entropy large-N expansion

收稿日期: 2022-03-07 出版日期: 2022-04-22

Corresponding Author(s): Pengfei Zhang

引用本文:

. [J]. Frontiers of Physics, 2022, 17(4): 43201.
Pengfei Zhang. Quantum entanglement in the Sachdev–Ye–Kitaev model and its generalizations. Front. Phys. , 2022, 17(4): 43201.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-022-1162-5
https://academic.hep.com.cn/fop/CN/Y2022/V17/I4/43201

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