Intermediate statistics in quantum maps
Chaotic Dynamics
2009-11-10 v1
Abstract
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.
Cite
@article{arxiv.nlin/0403033,
title = {Intermediate statistics in quantum maps},
author = {Olivier Giraud and Jens Marklof and Stephen O'Keefe},
journal= {arXiv preprint arXiv:nlin/0403033},
year = {2009}
}