A diagrammatic approach for open chaotic systems

TL;DR

This paper develops a semiclassical diagrammatic method to compute correlation functions in open chaotic systems with time reversal symmetry, linking quantum observables to classical correlations and explaining experimental results.

Contribution

It introduces a novel diagrammatic formalism for open chaotic systems that connects quantum correlation functions with classical dynamics, applicable to experimental and molecular systems.

Findings

Successfully explains microwave experiment on 4-disk system

Characterizes two-point function of molecular photodissociation cross section

Provides a unified semiclassical framework for open chaotic systems

Abstract

A semiclassical diagrammatic approach is constructed for calculating correlation functions of observables in open chaotic systems with time reversal symmetry. The results are expressed in terms of classical correlation functions involving Wigner representations of the observables. The formalism is used to explain a recent microwave experiment on the 4-disk problem, and to characterize the two-point function of the photodissociation cross section of complex molecules.