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Phys. Rev. Lett. 95, 184102 (2005) [4 pages]

Experimental Verification of Fidelity Decay: From Perturbative to Fermi Golden Rule Regime

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R. Schäfer* and H.-J. Stöckmann
Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

T. Gorin
Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany

T. H. Seligman
Centro de Ciencias Físicas, Universidad Nacional Autónoma de México, Campus Morelos, C.P. 62251, Cuernavaca, Morelos, México

Received 22 December 2004; published 27 October 2005

The scattering matrix was measured for a flat microwave cavity with classically chaotic dynamics. The system can be perturbed by small changes of the geometry. We define the “scattering fidelity” in terms of parametric correlation functions of scattering matrix elements. In chaotic systems and for weak coupling, the scattering fidelity approaches the fidelity of the closed system. Without free parameters, the experimental results agree with random matrix theory in a wide range of perturbation strengths, reaching from the perturbative to the Fermi golden rule regime.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.184102
DOI:
10.1103/PhysRevLett.95.184102
PACS:
05.45.Mt, 03.65.Sq, 03.65.Yz

*Electronic address: rudi.schaefer@physik.uni-marburg.de