In this paper, we analyze the dynamics of non-local correlations (NLCs) in an anisotropic two-qubit Heisenberg XYZ model under the effect of the phase damping. An analytical solution is obtained by applying a method based on the eigenstates and the eigenvalues of the Hamiltonian. It is observed that the generated NLCs are controlled by the Dzyaloshinskii–Moriya interaction, the purity indicator, the interaction with the environment, and the anisotropy. Furthermore, it is found that the quantum correlations, as well as the sudden death and sudden birth phenomena, depend on the considered physical parameters. In particular, the system presents a special correlation: the skew-information correlation. The log-negativity and the uncertainty-induced non-locality exhibit the sudden-change behavior. The purity of the initial states plays a crucial role on the generated nonlocal correlations. These correlations are sensitive to the DM interaction, anisotropy, and phase damping.

中文翻译：

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在两量子比特海森堡 XYZ 模型中通过偏斜信息和贝尔函数进行量子相关：相位阻尼的影响

在本文中，我们分析了相位阻尼作用下各向异性双量子位海森堡 XYZ 模型中非局部相关性 (NLC) 的动力学。通过应用基于本征态和哈密顿量的本征值的方法获得解析解。观察到生成的 NLC 受 Dzyaloshinskii-Moriya 相互作用、纯度指标、与环境的相互作用和各向异性的控制。此外，发现量子相关性以及猝死和猝死现象取决于所考虑的物理参数。特别是，该系统呈现出一种特殊的相关性：偏斜信息相关性。对数负性和不确定性引起的非局域性表现出突变行为。初始状态的纯度对生成的非局部相关性起着至关重要的作用。这些相关性对 DM 相互作用、各向异性和相位阻尼很敏感。