Universal spectral statistics in quantum graphs

Published 18 Feb 2004 in nlin.CD and cond-mat.mes-hall | (0402029v2)

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.

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