Category: List of Bases 2005 Throughout the year RESEARCH IN CONDENSED MATTER PHYSICS

Title:

Informal Seminar on Disorder and strong electron correlations: "Spectral statistics of a quantum interval exchange map"

Start Time:

11:00

Location:

ICTP (Main Building Room 239)

Contact:

M. Poropat

Speaker(s):

E. BOGOMOLNYI (Universite' XI - Paris Sud, Orsay)

Description:

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.