Wavefunction statistics in open chaotic billiards
混沌动力学
2007-05-23 v1 介观与纳米尺度物理
摘要
We study the statistical properties of wavefunctions in a chaotic billiard that is opened up to the outside world. Upon increasing the openings, the billiard wavefunctions cross over from real to complex. Each wavefunction is characterized by a phase rigidity, which is itself a fluctuating quantity. We calculate the probability distribution of the phase rigidity and discuss how phase rigidity fluctuations cause long-range correlations of intensity and current density. We also find that phase rigidities for wavefunctions with different incoming wave boundary conditions are statistically correlated.
引用
@article{arxiv.nlin/0302052,
title = {Wavefunction statistics in open chaotic billiards},
author = {P. W. Brouwer},
journal= {arXiv preprint arXiv:nlin/0302052},
year = {2007}
}
备注
4 pages, RevTeX; 1 figure