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Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis |
| Xiao-Qiang Su(苏晓强)1,2,†, Zong-Ju Xu(许宗菊)1,2, and You-Quan Zhao(赵有权)1,2 |
1 College of Physics and Information Engineering, Shanxi Normal University, Taiyuan 030031, China;
2 Key Laboratory of Spectral Measurement and Analysis of Shanxi Province, Shanxi Normal University, Taiyuan 030031, China |
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Abstract Exploring the role of entanglement in quantum nonequilibrium dynamics is important to understand the mechanism of thermalization in an isolated system. We study the relaxation dynamics in a one-dimensional extended Bose-Hubbard model after a global interaction quench by considering several observables: the local Boson numbers, the nonlocal entanglement entropy, and the momentum distribution functions. We calculate the thermalization fidelity for different quench parameters and different sizes of subsystems, and the results show that the degree of thermalization is affected by the distance from the integrable point and the size of the subsystem. We employ the Pearson coefficient as the measurement of the correlation between the entanglement entropy and thermalization fidelity, and a strong correlation is demonstrated for the quenched system.
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Received: 14 April 2022
Revised: 21 May 2022
Accepted manuscript online: 08 June 2022
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PACS:
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11147110), and the Natural Science Youth Foundation of Shanxi Province, China (Grant No. 2011021003). |
Corresponding Authors:
Xiao-Qiang Su
E-mail: suxq@mail.ustc.edu.cn
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Cite this article:
Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权) Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis 2023 Chin. Phys. B 32 020506
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