Nearest level spacing statistics in open chaotic systems: a generalization of the Wigner Surmise

Details Nearest level spacing statistics in open chaotic systems: a generalization of the Wigner Surmise Nearest level spacing statistics in open chaotic systems: a generalization of the Wigner Surmise

2012-01-24

arxiv.org/abs/1201.5096v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

We investigate the nearest level spacing statistics of open chaotic wave systems. To this end, we derive the spacing distributions for the 3 Wigner ensembles in the one-channel case. The theoretical results give a clear physical meaning of the modifications on the spacing distributions produced by the coupling to the environment. Based on the analytical expressions obtained, we then propose general expressions of the spacing distributions for any number of channels, valid from weak to strong coupling. The expressions contain one or two fit parameters, depending on the ensemble considered. The surmise is successfully compared with numerical simulations of non-Hermitian random matrices and with experimental data obtained with a lossy electromagnetic chaotic cavity.

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