Spectral statistics in an open parametric billiard system

TL;DR

This paper investigates the spectral statistics of a superconducting chaotic microwave billiard with a rotatable obstacle, revealing deviations from random matrix theory predictions due to openness and environmental coupling.

Contribution

It introduces an experimental analysis of spectral fluctuations in an open, chaotic microwave billiard, explaining deviations through environmental coupling effects.

Findings

Deviations from Gaussian orthogonal ensemble predictions observed.

Open system effects explain spectral fluctuation deviations.

Parametric correlator effectively studies system-environment interactions.

Abstract

We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal ensembles of random matrices are found. They are explained by treating the billiard as an open scattering system in which microwave power is coupled in and out via antennas. To study the interaction of the quantum (or wave) system with its environment a highly sensitive parametric correlator is used.