In the present paper, the quantum entanglement dynamics of two qubits Heisenberg-XYZ spin chain under a time dependent magnetic field effects, and considering the Dzyaloshinskii-Moriya (DM) interactions is studied. Assuming the system as being influenced by a non-Markovian environment, the dynamics of entanglement through the concurrence is studied. It follows from the simulations that the time dependency character of the DM coupling, the external magnetic field, and the Heisenberg spin-spin coupling preserves longer entanglement in the system compared to the case with these parameters constant. Moreover, it also follows that the effects of the environment on the system induces the loss of entanglement and then, the time interval of entanglement sudden death highly depends on the initial state considered. It is also observed that by tuning the strength of the DM coupling associated with a time varying magnetic field and a time varying spin-spin anisotropic coupling, the system can be better protected from unwanted effects of the environment and thus, entanglement can be preserved for a longer period of time.

中文翻译：

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在 Dzyaloshinskii-Moriya 相互作用和瞬态各向异性磁场下双量子比特 XYZ 自旋链的纠缠动力学

在本文中，研究了时间相关磁场效应下两个量子比特 Heisenberg-XYZ 自旋链的量子纠缠动力学，并考虑了 Dzyaloshinskii-Moriya (DM) 相互作用。假设系统受到非马尔可夫环境的影响，研究了通过并发的纠缠动态。模拟结果表明，与这些参数恒定的情况相比，DM 耦合、外部磁场和海森堡自旋-自旋耦合的时间依赖性特征在系统中保持了更长的纠缠。此外，还可以推导出环境对系统的影响导致纠缠丢失，纠缠猝死的时间间隔高度依赖于所考虑的初始状态。