Chaotic Scattering on Individual Quantum Graphs

Abstract

For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the colour-flavour transformation, and the saddle-point approximation to calculate the exact expression for the lowest and asymptotic expressions in the Ericson regime for all higher correlation functions of the scattering matrix. Our results agree with those available from the random-matrix approach to chaotic scattering. We conjecture that our results hold universally for quantum-chaotic scattering.

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• Semiclassical Foundation of Universality in Quantum Chaos
• Periodic-Orbit Theory of Universality in Quantum Chaos
• Periodic-Orbit Theory of Level Correlations
• Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
• Periodic-orbit theory of universal level correlations in quantum chaos
• Quantum ergodicity on graphs
• Statistical properties of resonance widths for open Quantum Graphs

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