Optimal parameter combinations of entanglement in the general Heisenberg model

doi:10.1088/1674-1056/adec5c

中国物理B ›› 2025, Vol. 34 ›› Issue (10): 100308-100308.doi: 10.1088/1674-1056/adec5c

Optimal parameter combinations of entanglement in the general Heisenberg model

Da-Chuang Li(李大创)^1,2, Wei-Wei Pan(潘维韦)¹, Xing-Dong Zhao(赵兴东)³, and Xiao-Lan Zong(宗晓岚)^1,†

1 School of Physics and Materials Engineering, Hefei Normal University, Hefei 230601, China;
2 Key Laboratory of Quantum Information and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
3 School of Physics, Henan Normal University, Xinxiang 453007, China

收稿日期:2025-04-22 修回日期:2025-06-16 接受日期:2025-07-07 发布日期:2025-10-11
通讯作者: Xiao-Lan Zong E-mail:xlzong725@foxmail.com
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11204061, 12204142, and 11904071), the Anhui Provincial Key Research and Development Project (Grant No. 2022b13020002), and the Outstanding Young Talents in College of Anhui Province (Grant No. gxyq2022059).

Optimal parameter combinations of entanglement in the general Heisenberg model

Da-Chuang Li(李大创)^1,2, Wei-Wei Pan(潘维韦)¹, Xing-Dong Zhao(赵兴东)³, and Xiao-Lan Zong(宗晓岚)^1,†

1 School of Physics and Materials Engineering, Hefei Normal University, Hefei 230601, China;
2 Key Laboratory of Quantum Information and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China;
3 School of Physics, Henan Normal University, Xinxiang 453007, China

Received:2025-04-22 Revised:2025-06-16 Accepted:2025-07-07 Published:2025-10-11
Contact: Xiao-Lan Zong E-mail:xlzong725@foxmail.com
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11204061, 12204142, and 11904071), the Anhui Provincial Key Research and Development Project (Grant No. 2022b13020002), and the Outstanding Young Talents in College of Anhui Province (Grant No. gxyq2022059).

摘要/Abstract

摘要： Thermal entanglement, as influenced by interaction parameters, is investigated within the general Heisenberg $XYZ$ model. We calculate the relationship between entanglement and the system interaction parameters, including spin-spin interaction parameters (SSIPs) and spin-orbit interaction parameters (SOIPs). By considering various parameter orientations, we identify four optimal combinations of the SSIPs and find that the optimal vector of the spin-orbit interaction aligns with the coordinate axis corresponding to the maximal SSIP component. Furthermore, we obtain three effective optimal combinations of the SOIPs corresponding to the optimal SSIPs, which can maximize the system entanglement when the parameters are tuned accordingly. To demonstrate the feasibility of our results under realistic experimental conditions, we propose an optical lattice scheme with tunable parameters.

关键词: entanglement, Heisenberg model, Dzyaloshinskii-Moriya interaction

Abstract: Thermal entanglement, as influenced by interaction parameters, is investigated within the general Heisenberg $XYZ$ model. We calculate the relationship between entanglement and the system interaction parameters, including spin-spin interaction parameters (SSIPs) and spin-orbit interaction parameters (SOIPs). By considering various parameter orientations, we identify four optimal combinations of the SSIPs and find that the optimal vector of the spin-orbit interaction aligns with the coordinate axis corresponding to the maximal SSIP component. Furthermore, we obtain three effective optimal combinations of the SOIPs corresponding to the optimal SSIPs, which can maximize the system entanglement when the parameters are tuned accordingly. To demonstrate the feasibility of our results under realistic experimental conditions, we propose an optical lattice scheme with tunable parameters.

Key words: entanglement, Heisenberg model, Dzyaloshinskii-Moriya interaction

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Bg (Entanglement production and manipulation) 75.10.Jm (Quantized spin models, including quantum spin frustration)

Da-Chuang Li(李大创), Wei-Wei Pan(潘维韦), Xing-Dong Zhao(赵兴东), and Xiao-Lan Zong(宗晓岚). Optimal parameter combinations of entanglement in the general Heisenberg model[J]. 中国物理B, 2025, 34(10): 100308-100308.

Da-Chuang Li(李大创), Wei-Wei Pan(潘维韦), Xing-Dong Zhao(赵兴东), and Xiao-Lan Zong(宗晓岚). Optimal parameter combinations of entanglement in the general Heisenberg model[J]. Chin. Phys. B, 2025, 34(10): 100308-100308.

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Optimal parameter combinations of entanglement in the general Heisenberg model

Optimal parameter combinations of entanglement in the general Heisenberg model

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