论文标题
量子半马多夫动力学的演化方程
Evolution equations for quantum semi-Markov dynamics
论文作者
论文摘要
使用开放量子系统动力学的局部和非本地描述之间的新引入的连接，我们研究了这两个特征在量子半马多夫过程中的关系。这类量子演变是对相应经典概念的直接概括，可以保证数学上定义明确的主方程，同时考虑到广泛的现象，可能是在非马克维亚政权中。特别是，我们通过几个示例分析了从一种类型的主方程转移到另一种类型时，分析了dephasing术语的出现。我们还研究了相应的类似红场样的近似动力学，这些动力学是在时间上进行粗粘合后获得的。依靠相关的经典随机过程的一般特性，我们得出结论，这种近似始终导致对所考虑的动力学类别的马尔可夫进化。
Using a newly introduced connection between the local and non-local description of open quantum system dynamics, we investigate the relationship between these two characterisations in the case of quantum semi-Markov processes. This class of quantum evolutions, which is a direct generalisation of the corresponding classical concept, guarantees mathematically well-defined master equations, while accounting for a wide range of phenomena, possibly in the non-Markovian regime. In particular, we analyse the emergence of a dephasing term when moving from one type of master equation to the other, by means of several examples. We also investigate the corresponding Redfield-like approximated dynamics, which are obtained after a coarse graining in time. Relying on general properties of the associated classical random process, we conclude that such an approximation always leads to a Markovian evolution for the considered class of dynamics.
