Global and local level dynamics in chaotic microwave billiards

TL;DR

This paper investigates how local and global perturbations affect the spectral properties of chaotic microwave billiards, revealing universal behavior in some cases and distinct local effects in others.

Contribution

It demonstrates the difference in spectral response between global wall shifts and local scatterer displacements in microwave billiards.

Findings

Universal velocity distribution in Sinai billiards

Distinct local behavior in rectangular billiards with scatterers

Global vs. local perturbation effects on spectra

Abstract

The spectra of Sinai microwave billiards and rectangular billiards with statistically distributed circular scatterers have been taken as a function of the position of one wall, and of one of the scatterers, respectively. Whereas in the first case the velocity distribution and correlations obey the universal behaviour predicted by Simons and Altshuler, in the second case a completely different behaviour is observed. This is due to the fact that a shift of one wall changes the wave function globally whereas the displacement of one scatterer only leads to a local perturbance.