Experimental verification of fidelity decay : From perturbative to fermi golden rule regime

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...

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Bibliographic Details
Published in:	Physical review letters Vol. 95; no. 18; pp. 184102.1 - 184102.4
Main Authors:	SCHÄFER, R, STÖCKMANN, H.-J, GORIN, T, SELIGMAN, T. H
Format:	Journal Article
Language:	English
Published:	Ridge, NY American Physical Society 28-10-2005
Subjects:	Exact sciences and technology Nonlinear dynamics and nonlinear dynamical systems Physics Statistical physics, thermodynamics, and nonlinear dynamical systems Chaos Perturbation theory Microwave resonator Correlation functions
Online Access:	Get full text
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Summary:	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.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.95.184102