Multi-time correlations in quantized toral automorphisms

TL;DR

This paper investigates the distribution of fluctuations in temporal averages for a class of quantized toral automorphisms, using free-product C*-algebras to analyze long-term multi-time correlations in quantum systems.

Contribution

It introduces a novel approach employing free-product C*-algebras to study multi-time correlations in quantized automorphisms, providing new insights into their fluctuation distributions.

Findings

Distribution laws of fluctuations characterized

Long-time multi-time correlation behaviors analyzed

Framework applicable to quantum automorphisms

Abstract

The long time asymptotics of multi-time correlation functions of relaxing quantum mechanical systems can be conveniently studied by means of free-products of suitable C*-algebras and of states on these free products given by multiple temporal averages. In this paper, we study the distribution law of fluctuations of temporal averages in a class of quantized toral automorphisms.