Spectral statistics in an open parametric billiard system

B. Dietz 1, A. Heine 1, A. Richter 1, O. Bohigas 2, P. Leboeuf 2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 73 (2006) 035201

We present experimental results on the eigenfrequency statistics of a superconducting, chaotic microwave billiard containing a rotatable obstacle. Deviations of the spectral fluctuations from predictions based on Gaussian orthogonal ensembles of random matrices are found. They are explained by treating the billiard as an open scattering system in which microwave power is coupled in and out via antennas. To study the interaction of the quantum (or wave) system with its environment a highly sensitive parametric correlator is used.

  • 1. Institut für Kernphysik,
    Technische Universitat Darmstadt
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud