Landau-Lifshitz-Gilbert 动力学的量子类比
Quantum analog of Landau-Lifshitz-Gilbert dynamics
AI总结：
本文提出保持量子态纯度的量子 LLG 方程，研究二聚体中两个 spin-1/2 粒子的动力学，揭示铁磁与反铁磁耦合下相对经典 LLG 的异同，并发现初始纠缠自旋的 revival 型量子关联动力学。
摘要：
Landau-Lifshitz-Gilbert（LLG）方程和 Landau-Lifshitz（LL）方程在描述固体中磁化动力学方面起着重要作用。尽管在 [Phys. Rev. Lett. 110, 147201 (2013)] 中已经提出了 LL 动力学的量子类比，但相应的 LLG 量子版本仍然未知。在此，我们提出了这样一个量子 LLG 方程，它固有地保持量子态的纯度。我们研究了由两个相互作用的 spin-1/2 粒子组成的二聚体的量子 LLG 动力学。我们的分析表明，在铁磁耦合的情况下，初始不相关自旋的演化反映了经典 LLG 动力学。然而，在反铁磁情形下，我们观察到与经典行为的显著偏差，突显了成为无自旋态的独特动力学，该态是非局域关联的。此外，当考虑初始纠缠的自旋时，我们的研究揭示了一种不寻常的 revival 型量子关联动力学，这与开放量子系统中通常所见的情况显著不同。
英文摘要：
The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an essential role for describing the dynamics of magnetization in solids. While a quantum analog of the LL dynamics has been proposed in [Phys. Rev. Lett. 110, 147201 (2013)], the corresponding quantum version of LLG remains unknown. Here, we propose such a quantum LLG equation that inherently conserves purity of the quantum state. We examine the quantum LLG dynamics of a dimer consisting of two interacting spin-1/2 particles. Our analysis reveals that, in the case of ferromagnetic coupling, the evolution of initially uncorrelated spins mirrors the classical LLG dynamics. However, in the antiferromagnetic scenario, we observe pronounced deviations from classical behavior, underscoring the unique dynamics of becoming a spinless state, which is non-locally correlated. Moreover, when considering spins that are initially entangled, our study uncovers an unusual form of revival-type quantum correlation dynamics, which differs significantly from what is typically seen in open quantum systems.
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