By considering an exactly solvable model of a two interacting spin-1/2 qubits described by the Heisenberg anisotropic interaction in the presence of intrinsic decoherence, we study the dynamics of entanglement quantified by the concurrence and measurement-induced nonlocality (MIN) based on Hilbert–Schmidt norm and trace distance with different initial conditions. We highlight the relationship between the entanglement and MIN for the pure initial state. For an initial separable state, it is found that the robustness and the generation of the quantum correlations depend on the physical parameters. While considering the entangled state as an initial state, the results show that despite the phase decoherence, all the correlations reach their steady state values after exhibiting some oscillations. We reveal that the enhancement of correlations may occur by adjusting the strength of the Dzyaloshinskii–Moriya (DM) interaction and the intervention of the magnetic field decrease the quantum correlations. Finally, we show the existence of quantum correlations captured by MIN in the unentangled state.

通过考虑存在固有退相干的情况下由海森堡各向异性相互作用描述的两个相互作用的自旋1/2量子位的精确可解模型，我们研究了基于希尔伯特的并发和测量引起的非局部性（MIN）量化的纠缠动力学–具有不同初始条件的施密特范数和迹线距离。我们强调了纯初始状态下纠缠与MIN之间的关系。对于初始可分离状态，发现鲁棒性和量子相关性的产生取决于物理参数。当将纠缠状态视为初始状态时，结果表明，尽管相位退相干，但所有相关在出现一些振荡后仍达到其稳态值。我们发现，可以通过调整Dzyaloshinskii-Moriya（DM）相互作用的强度来增强相关性，并且磁场的干预会降低量子相关性。最后，我们显示了在非纠缠状态下MIN捕获的量子相关性的存在。