Distribution of eigenmodes in a superconducting stadium billiard with chaotic dynamics

H.-D. Gräf; H. L. Harney; H. Lengeler; C. H. Lewenkopf; C. Rangacharyulu; A. Richter; P. Schardt; H. A. Weidenmüller

doi:10.1103/PhysRevLett.69.1296

Distribution of eigenmodes in a superconducting stadium billiard with chaotic dynamics

H.-D. Gräf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. Rangacharyulu, A. Richter, P. Schardt, and H. A. Weidenmüller

Phys. Rev. Lett. 69, 1296 – Published 31 August 1992

Abstract

The complete sequence of 1060 eigenmodes with frequencies between 0.75 and 17.5 GHz of a quasi-two-dimensional superconducting microwave resonator shaped like a quarter of a stadium billiard with a Q value of Q≊ $10^{5 -}$ $10^{7}$ was measured for the first time. The semiclassical analysis is in good agreement with the experimental data, and provides a new scheme for the statistical analysis and comparison with predictions based on the Gaussian orthogonal ensemble.

Received 8 June 1992

DOI:https://doi.org/10.1103/PhysRevLett.69.1296

Authors & Affiliations

H.-D. Gräf, H. L. Harney, H. Lengeler, C. H. Lewenkopf, C. Rangacharyulu, A. Richter, P. Schardt, and H. A. Weidenmüller

Institut für Kernphysik, Technische Hochschule Darmstadt, W-6100 Darmstadt, Germany
Max-Planck-Institut für Kernphysik, W-6900 Heidelberg, Germany
AT-Division, CERN, CH-1211 Geneva 23, Switzerland
Department of Physics, University of Saskatchewan, Saskatoon, Canada S7N OWO