Abstract

For the model of a multi-level system in the rotating wave approximation we obtain the corrections for a usual weak coupling limit dynamics by means of perturbation theory with Bogolubov-van Hove scaling. It generalizes our previous results on a spin-boson model in the rotating wave approximation. Additionally, in this work we take into account some dependence of the system Hamiltonian on the small parameter. We show that the dynamics is long-time Markovian, i.e. after the bath correlation time all the non-Markovianity could be captured by the renormalization of initial condition and correlation functions.

中文翻译：

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旋转波逼近中多级系统的长时间马尔可夫性

摘要

对于旋转波近似中的多级系统模型，我们通过具有 Bogolubov-van Hove 标度的微扰理论获得了对通常弱耦合极限动力学的修正。它概括了我们之前在旋转波近似中的自旋玻色子模型的结果。此外，在这项工作中，我们考虑了系统哈密顿量对小参数的一些依赖性。我们表明动力学是长期马尔可夫的，即在浴相关时间之后，所有非马尔可夫性都可以通过初始条件和相关函数的重整化来捕获。