Statistical properties of chaotic microcavities in small and large opening cases

Jung Wan Ryu; Sang Wook Kim

doi:10.1063/1.5087023

Statistical properties of chaotic microcavities in small and large opening cases

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	043123
Journal	Chaos
Volume	29
Issue number	4
DOIs	https://doi.org/10.1063/1.5087023
Publication status	Published - 1 Apr 2019

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title = "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.",

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AB - 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.

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Statistical properties of chaotic microcavities in small and large opening cases

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