论文标题
时间不均匀量子动态图
Time inhomogeneous quantum dynamical maps
论文作者
论文摘要
我们讨论了广泛的时间不均匀的量子演化,该演化由完全积极的痕量保护地图的两参数家族表示。这些动态图被构造为无限的跳跃过程。结果表明,这种动力学地图满足时间不均匀的内存内核方程,该方程提供了涉及标准卷积的主方程的概括。还讨论了时间本地(无时间卷积)方法。最后,提供了对传统时间均匀与时间不均匀情景的比较分析。
We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation which provides a generalization of the master equation involving the standard convolution. Time-local (time convolution-less) approach is discussed as well. Finally, the comparative analysis of traditional time homogeneous vs. time inhomogeneous scenario is provided.