Universal spectral statistics in quantum graphs
arXiv:nlin/0402029 · doi:10.1103/PhysRevLett.93.194101
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.
4 pages, reftex, 1 figure, revised version to be published in PRL
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