Informal Seminar on Disorder and strong electron correlations: "Spectral statistics of a quantum interval exchange map"
ICTP (Main Building Room 239)
(Universite' XI - Paris Sud, Orsay)
Curious spectral properties of an ensemble of random unitary matrices appearing naturally in the quantization of a simple interval-exchange map are investigated. It is demonstrated that, under certain conditions on map parameters, local spectral statistics of this ensemble tends to the semi-Poisson distribution with arbitrary integer or half-integer level repulsion at small distances depending on time-reversal symmetry of the map.
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