Universal spectral statistics in quantum graphs

Details Universal spectral statistics in quantum graphs Universal spectral statistics in quantum graphs

2004-02-18

arxiv.org/abs/nlin/0402029v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, reftex, 1 figure, revised version to be published in PRL

Scientific paper

10.1103/PhysRevLett.93.194101

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.

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