时变非均匀量子动力映射。
Time inhomogeneous quantum dynamical maps.
机构信息
Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5/7, 87-100, Toruń, Poland.
出版信息
Sci Rep. 2022 Dec 8;12(1):21223. doi: 10.1038/s41598-022-25694-1.
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 versus time inhomogeneous scenario is provided.
我们讨论了一类广泛的时变非均匀量子演化，它由一族两参数的完全正迹保持映射表示。这些动力学映射被构造为跳跃过程的无穷级数。结果表明，这样的动力学映射满足时变非均匀记忆核主方程，该方程提供了涉及标准卷积的主方程的推广。我们还讨论了时局域（无时间卷积）方法。最后，对传统的时均匀与时变非均匀情况进行了比较分析。
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