论文标题

从开放的海森伯格模型到兰道 - 利法兹方程

From the open Heisenberg model to the Landau-Lifshitz equation

论文作者

Norambuena, Ariel, Franco, Andrés, Coto, Raúl

论文摘要

磁系统可以通过经典的Landau-Lifshitz(LL)方程或全量子开放的海森堡模型来描述。使用Lindblad Master方程和平均场近似值,我们证明了开放的Heisenberg模型被简化为广义LL方程。开放动态是使用自旋 - 玻色子相互作用与热平衡处的普通玻色储液相互作用进行建模的。通过追踪骨体的自由度,我们获得了两种不同的脱碳机制:现场耗散和玻色子介导的有效自旋旋转相互作用。使用我们的方法,我们执行滞后计算,与Stoner-Wohlfarth理论密切相关。我们比较了确切的数值主方程和均值场模型,从而揭示了相关的作用,该相关性源自非本地相互作用。我们的工作为研究开放量子形式主义的LL动力学开辟了新的视野。

Magnetic systems can be described by the classical Landau-Lifshitz (LL) equation or the fully quantum open Heisenberg model. Using the Lindblad master equation and the mean-field approximation, we demonstrate that the open Heisenberg model is reduced to a generalized LL equation. The open dynamic is modeled using spin-boson interactions with a common bosonic reservoir at thermal equilibrium. By tracing out the bosonic degrees of freedom, we obtain two different decoherence mechanisms: on-site dissipation and an effective spin-spin interaction mediated by bosons. Using our approach, we perform hysteresis calculations, closely connected with the Stoner-Wohlfarth theory. We compare the exact numerical master equation and the mean-field model, revealing the role of correlations originated by non-local interactions. Our work opens new horizons for the study of the LL dynamics from an open quantum formalism.

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