Distribution of eigenmodes in a superconducting stadium billiard with chaotic dynamics

HD Gräf, HL Harney, H Lengeler, CH Lewenkopf… - Physical review …, 1992 - APS
HD Gräf, HL Harney, H Lengeler, CH Lewenkopf, C Rangacharyulu, A Richter, P Schardt…
Physical review letters, 1992APS
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.
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.
American Physical Society
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