Universal spectral statistics in quantum graphs
Chaotic Dynamics
2009-11-10 v2 Mesoscale and Nanoscale Physics
Abstract
We prove that the spectrum of an individual chaotic quantum graph shows universal spectral correlations, as predicted by random--matrix theory. The stability of these correlations with regard to non--universal corrections is analyzed in terms of the linear operator governing the classical dynamics on the graph.
Cite
@article{arxiv.nlin/0402029,
title = {Universal spectral statistics in quantum graphs},
author = {Sven Gnutzmann and Alexander Altland},
journal= {arXiv preprint arXiv:nlin/0402029},
year = {2009}
}
Comments
4 pages, reftex, 1 figure, revised version to be published in PRL