We propose an approach to process data from interferometric measurements on a closed quantum system at random times. For this purpose a time correlation matrix is introduced which enables us to extract dynamical properties of the quantum system. After defining a generalized expectation value we obtain a distribution of time scales, an average transition time and a correlation time. A classical limit exists which is separated from the quantum fluctuations. The latter are characterized by resonances associated with poles of the generalized expectation value. Its analytic behavior is studied and some generic properties are linked to a quantized Berry phase.

中文翻译：

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封闭量子系统中的量化动力学

我们提出了一种在随机时间处理来自封闭量子系统干涉测量数据的方法。为此，引入了时间相关矩阵，使我们能够提取量子系统的动力学特性。在定义了广义期望值之后，我们获得了时间尺度的分布、平均过渡时间和相关时间。存在与量子涨落分离的经典极限。后者的特点是与广义期望值的极点相关联的共振。研究了它的分析行为，并将一些通用属性与量化的 Berry 相位相关联。