title: Spectral statistics of a quantum interval-exchange map.
abstract: 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.
authors.affiliation: Laboratoire de Physique Théorique et Modelès Statistiques, Université de Paris-Sud, Bâiment 100, 91405 Orsay Cedex, France.
authors.forename: E
authors.initials: E
authors.lastname: Bogomolny
authors.forename: C
authors.initials: C
authors.lastname: Schmit