Universal Chaotic Scattering on Quantum Graphs

TL;DR

This paper demonstrates that the statistical properties of chaotic scattering on quantum graphs align with predictions from random-matrix theory, suggesting a universal behavior in such quantum systems.

Contribution

It provides the first calculation of the S-matrix correlation function for chaotic scattering on quantum graphs and confirms its universality with RMT predictions.

Findings

S-matrix correlation functions match RMT results

Higher-order correlation functions agree with RMT in the Ericson regime

Results suggest a universal description of chaotic scattering

Abstract

We calculate the S-matrix correlation function for chaotic scattering on quantum graphs and show that it agrees with that of random--matrix theory (RMT). We also calculate all higher S-matrix correlation functions in the Ericson regime. These, too, agree with RMT results as far as the latter are known. We concjecture that our results give a universal description of chaotic scattering.