Statistical properties of chaotic microcavities in small and large opening cases

Abstract

We study the crossover behavior of statistical properties of eigenvalues in a chaotic microcavity with different refractive indices. The level spacing distributions change from Wigner to Poisson distributions, as the refractive index of a microcavity decreases. We propose a non-Hermitian matrix model with random elements describing the spectral properties of the chaotic microcavity, which exhibits the crossover behaviors as the opening strength increases.© 2019 Author(s).