论文标题

弱周期耦合下的马尔可夫动力学

Markovian dynamics under weak periodic coupling

论文作者

Szczygielski, Krzysztof

论文摘要

我们检查了有限尺寸开放量子系统的完全积极和痕量保存的演变,并通过定期调制的相互作用哈密顿量与大环境结合。在使用投影操作员技术的通常假设下,我们以非常小且非常大的调制频率的两个相反的方式来得出一个相应的马尔可夫主方程。特别注意统一(全球)调制相互作用的情况,在该情况下,还解决了有关溶液的浮球法线形式及其渐近稳定性的一些一般结果。

We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamiltonian. We derive a corresponding Markovian Master Equation under usual assumption of weak coupling using the projection operator techniques, in two opposite regimes of very small and very large modulation frequency. Special attention is granted to the case of uniformly (globally) modulated interaction, where some general results concerning the Floquet normal form of a solution and its asymptotic stability are also addressed.

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