Universal spectral statistics in quantum graphs
classification
🌊 nlin.CD
cond-mat.mes-hall
keywords
correlationsgraphquantumspectraluniversalanalyzedchaoticclassical
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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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