标题： 具有记忆核的完全正量子主方程的结构 显示英文标题

标题： Structure of completely positive quantum master equations with memory kernel

摘要： 半马尔可夫过程代表了经典概率论中一个众所周知且广泛使用的随机过程类。在这里，我们发展了这种非马尔可夫动力学向量子领域的扩展。该扩展被证明可以导出具有记忆核的量子主方程，从而允许明确条件的表述以确保相应量子动力学映射的完全正性，进而对开放系统的非马尔可夫量子动力学的结构特征提供了重要的见解。详细分析了具体的例子。 显示英文摘要

摘要： Semi-Markov processes represent a well known and widely used class of random processes in classical probability theory. Here, we develop an extension of this type of non-Markovian dynamics to the quantum regime. This extension is demonstrated to yield quantum master equations with memory kernels which allow the formulation of explicit conditions for the complete positivity of the corresponding quantum dynamical maps, thus leading to important insights into the structural characterization of the non-Markovian quantum dynamics of open systems. Explicit examples are analyzed in detail.