Chaotic scattering on individual quantum graphs

Z. Pluhař and H. A. Weidenmüller
Phys. Rev. E 88, 022902 – Published 5 August 2013

Abstract

For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the color-flavor 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.

  • Received 14 June 2013

DOI:https://doi.org/10.1103/PhysRevE.88.022902

©2013 American Physical Society

Authors & Affiliations

Z. Pluhař1 and H. A. Weidenmüller2,*

  • 1Faculty of Mathematics and Physics, Charles University, 180 00 Praha 8, Czech Republic
  • 2Max-Planck-Institut für Kernphysik, 69029 Heidelberg, Germany

  • *Hans.Weidenmueller@mpi-hd.mpg.de

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Issue

Vol. 88, Iss. 2 — August 2013

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