Intermediate statistics in quantum maps

Details Intermediate statistics in quantum maps Intermediate statistics in quantum maps

2004-03-17

arxiv.org/abs/nlin/0403033v1

Journal of Physics A 37 (2004) L303-L311

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1088/0305-4470/37/28/L01

We present a one-parameter family of quantum maps whose spectral statistics
are of the same intermediate type as observed in polygonal quantum billiards.
Our central result is the evaluation of the spectral two-point correlation form
factor at small argument, which in turn yields the asymptotic level
compressibility for macroscopic correlation lengths.

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