实磁场下非厄米海森堡模型热纠缠及量子关联动力学特性

doi:10.3969/j.issn.1007-5461.2026.05.012

摘要/Abstract

摘要： 本文研究了实磁场下两比特非厄米海森堡模型的热纠缠和量子关联演化特性。通过引入双正交基, 分析了实磁场对系统能谱结构的影响, 探讨了热纠缠和量子纠缠的时间演化行为。研究发现, 实磁场的引入会改变系统的能级结构, 导致能级奇异点的消失和能级劈裂现象的加剧。在热纠缠方面, 未施加实磁场时, 系统在奇异点处会出现纠缠的突变现象; 而施加实磁场后, 这一现象消失, 且实磁场能够在一定区间内提升系统的纠缠特性。在量子关联随时间演化的研究中, 观察到有无实磁场时, 纠缠随时间的演化趋势存在显著差异, 实磁场使得系统能在长时间演化中维持稳定纠缠, 并且保持优良的纠缠特性。这些发现表明实磁场对非厄米系统中的纠缠调控具有重要意义, 为非厄米量子信息处理的研究提供了新的理论支持。

关键词: 量子信息, 非厄米, 量子自旋系统, 量子纠缠

Abstract: This paper investigates the evolution characteristics of thermal entanglement and quantum correlations in a two-qubit non-Hermitian Heisenberg model under a real magnetic field. By introducing the biorthogonal basis, the influence of real magnetic field on the energy spectrum structure of the system is analyzed, and the time evolution behaviors of thermal entanglement and quantum correlations are explored. It is found that the introduction of a real magnetic field can change the energy-level structure of the system, leading to the disappearance of energy-level exceptional points and the intensification of energy-level splitting. Regarding thermal entanglement, when no real magnetic field is applied, the system exhibits a sudden transition of entanglement at the exceptional points, however, after applying a real magnetic field, this phenomenon disappears, and the real magnetic field can enhance the entanglement characteristics of the system within a certain range. In the study of the time evolution of quantum correlations, significant differences in the time evolution trends of entanglement are observed with and without a real magnetic field, and the real magnetic field enables the system to maintain stable entanglement during long-term evolution and retain robust entanglement properties. These findings indicate that a real magnetic field is significant for entanglement regulation in non-Hermitian systems, providing new theoretical support for the research on non-Hermitian quantum information processing.

Key words: quantum information, non-Hermitian, quantum spin system, quantum entanglement

中图分类号:

O431.2

张云鹏 , 袁舜 , 珲读孜⋅哈里木江 , 常国昊 , 艾合买提⋅阿不力孜 . 实磁场下非厄米海森堡模型热纠缠及量子关联动力学特性[J]. 量子电子学报, 2026, 43(5): 803-811.

ZHANG Yunpeng , YUAN Shun , HUNDUZI Halimjan , CHANG Guohao , AHMAD Abliz . Thermal entanglement and quantum correlation dynamics in a non‐Hermitian Heisenberg model under a real magnetic field[J]. Chinese Journal of Quantum Electronics, 2026, 43(5): 803-811.

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