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Finite Temperature Dynamics of the Total State in an Open System Model

机译:开放系统模型中总状态的有限温度动力学

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摘要

We determine the dynamics of the total state of a system and environment for an open system model, at finite temperature. Based on a partial Husimi representation, our framework describes the full dynamics very efficiently through equations in the Hilbert space of the open system only. We briefly review the zero-temperature case and present the corresponding new finite temperature theory, within the usual Born-Markov approximation. As we will show, from a reduced point of view, our approach amounts to the derivation of a stochastic Schroedinger equation description of the dynamics. We show how the reduced density operator evolves according to the expected (finite temperature) master equation of Lindblad form.
机译:我们确定在有限温度下开放系统模型的系统和环境总状态的动力学。基于部分Husimi表示,我们的框架仅通过开放系统的希尔伯特空间中的方程非常有效地描述了完整的动力学。我们简要回顾一下零温度情况,并在通常的Born-Markov近似内给出了相应的新的有限温度理论。正如我们将要展示的那样,从简化的角度来看,我们的方法相当于对动力学进行随机Schroedinger方程描述。我们展示了降低密度算子如何根据Lindblad形式的预期(有限温度)主方程演化。

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