Quantized dynamics in closed quantum systems

TL;DR

This paper introduces a method to analyze the dynamics of closed quantum systems using interferometric data, revealing quantized features and classical-quantum distinctions through correlation matrices and generalized expectation values.

Contribution

It presents a novel approach to extract dynamical properties from quantum data, linking quantized Berry phases to the system's resonances and time scales.

Findings

Identification of a classical limit separated from quantum fluctuations

Discovery of resonances linked to poles of the generalized expectation value

Connection between generic properties and a quantized Berry phase

Abstract

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.