Gaussian Orthogonal Ensemble Statistics in a Microwave Stadium Billiard with Chaotic Dynamics: Porter-Thomas Distribution and Algebraic Decay of Time Correlations

H. Alt, H. -D. Gräf, H. L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt, and H. A. Weidenmüller
Phys. Rev. Lett. 74, 62 – Published 2 January 1995
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Abstract

The complete set of resonance parameters for 950 resonances of a superconducting microwave cavity connected to three antennas has been measured. This cavity simulates the quantum mechanics of a particle in a Bunimovich stadium. The partial widths are found to follow a Porter-Thomas distribution. The Fourier transforms of the S-matrix autocorrelation functions decay algebraically (nonexponentially) in time. These results agree perfectly with the predictions of random-matrix theory. They constitute one of the most stringent tests ever of this expected connection between chaotic dynamics and randommatrix theory.

  • Received 7 July 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.62

©1995 American Physical Society

Authors & Affiliations

H. Alt1, H. -D. Gräf1, H. L. Harney2, R. Hofferbert1, H. Lengeler3, A. Richter1, P. Schardt1, and H. A. Weidenmüller2

  • 1Institut für Kernphysik, TH Darmstadt, D-64289 Darmstadt, Germany
  • 2Max-Planck-Institut für Kernphysik, D-69029 Heidelberg, Germany
  • 3AT-Division, CERN, CH-1211 Geneva 23, Switzerland

Comments & Replies

Alt et al. Reply:

H. Alt, H.-D. Gräf, H. L. Harney, R. Hofferbert, H. Lengeler, A. Richter, P. Schardt, and H. A. Weidenmüller
Phys. Rev. Lett. 76, 3037 (1996)

Comment on “Gaussian Orthogonal Ensemble Statistics in a Microwave Stadium Billiard with Chaotic Dynamics: Porter-Thomas Distribution and Algebraic Decay of Time Correlations”

A. Kudrolli and S. Sridhar
Phys. Rev. Lett. 76, 3036 (1996)

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Vol. 74, Iss. 1 — 2 January 1995

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