1201.5096 (Charles Poli et al.)

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

Charles Poli, Germán A. Luna-Acosta, Hans-Jürgen Stockmann

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.

View original: http://arxiv.org/abs/1201.5096