title: Spectral correlations of individual quantum graphs.
abstract: We investigate the spectral properties of chaotic quantum graphs. We demonstrate that the energy-average over the spectrum of individual graphs can be traded for the functional average over a supersymmetric nonlinear -model action. This proves that spectral correlations of individual quantum graphs behave according to the predictions of Wigner-Dyson random matrix theory. We explore the stability of the universal random matrix behavior with regard to perturbations, and discuss the crossover between different types of symmetries.
authors.affiliation: Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany. gnutz@physik.fu-berlin.de
authors.forename: Sven
authors.initials: S
authors.lastname: Gnutzmann
authors.forename: Alexander
authors.initials: A
authors.lastname: Altland