We investigate the quantum correlations of a two-qubit XYZ Heisenberg spin-1/2 chain model with Dzyaloshinskii–Moriya interaction. The two-qubit system is considered in thermal equilibrium. The variations of logarithmic negativity, uncertainty-induced quantum nonlocality (UIN) and trace distance discord, versus the parameters characterizing the system, are analyzed. The results show that the UIN measure captures quantum correlations that cannot be revealed by entanglement and trace discord. We also show that the Dzyaloshinskii–Moriya interaction enhances the non-classical correlations between the spins and can weaken the undesirable destructive effects of thermal fluctuations. In addition, an entangled–unentangled phase transition can be detected from the behavior of logarithmic negativity.

中文翻译：

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双量子位 Heisenberg XYZ 自旋链中的热量子相关性与 Dzyaloshinskii-Moriya 相互作用

我们研究了双量子位 XYZ Heisenberg spin-1/2 链模型与 Dzyaloshinskii-Moriya 相互作用的量子相关性。双量子比特系统被认为处于热平衡状态。分析了对数负性、不确定性引起的量子非局域性 (UIN) 和轨迹距离不和谐与表征系统的参数的变化。结果表明，UIN 测量捕获了纠缠和跟踪不和谐无法揭示的量子相关性。我们还表明，Dzyaloshinskii-Moriya 相互作用增强了自旋之间的非经典相关性，并可以削弱热波动的不良破坏性影响。此外，可以从对数负性的行为中检测到纠缠-非纠缠相变。