Quantized dynamics in closed quantum systems

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.

Automated summary

This approach processes data from interferometric measurements on a closed quantum system at random times using a time correlation matrix to extract dynamical properties of the system. Through defining a generalized expectation value, distribution of time scales, average transition time, and correlation time are obtained. A classical limit is identified as separate from quantum fluctuations, which are characterized by resonances associated with poles of the generalized expectation value and linked to quantized Berry phase.