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arXiv 2105.02443quant-ph
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旋转波近似下多能级系统的长时间马尔可夫性

Long-time Markovianity of multi-level systems in the rotating wave approximation

A. E. Teretenkov

摘要:

对于旋转波近似下的多能级系统模型,利用Bogolubov-van Hove标度的微扰理论,得到了对常见弱耦合极限动力学的修正。它推广了我们以前在旋波近似下对自旋玻色子模型的结果。此外,在这项工作中,我们考虑到一些依赖系统的小参数的哈密顿量。结果表明,该动力学是长时间的马尔可夫,即在浴关联时间之后,所有的非马尔可夫性都可以被初始条件和关联函数的重正化所捕获。

英文摘要:

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.

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