Lifetime statistics of quantum chaos studied by a multiscale analysis

TL;DR

This paper investigates the lifetime statistics of quantum chaotic resonators with multiple open channels using a combined experimental and multiscale analytical approach, confirming universal predictions from random matrix theory.

Contribution

It introduces a novel multiscale analysis method for studying quantum chaos in photonic crystal resonators with multiple open channels, validated by experimental data.

Findings

Experimental data matches random matrix theory predictions

Resonance lifetimes follow universal statistical distributions

Multiscale analysis effectively characterizes quantum chaos

Abstract

In a series of pump and probe experiments, we study the lifetime statistics of a quantum chaotic resonator when the number of open channels is greater than one. Our design embeds a stadium billiard into a two dimensional photonic crystal realized on a Silicon-on-insulator substrate. We calculate resonances through a multiscale procedure that combines graph theory, energy landscape analysis and wavelet transforms. Experimental data is found to follow the universal predictions arising from random matrix theory with an excellent level of agreement.