Fidelity decay for local perturbations: microwave evidence for oscillating decay exponents

Bernd Köber, Ulrich Kuhl, Hans-Juergen Stöckmann, Arseni Goussev, Klaus Richter

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    Abstract

    We study fidelity decay in classically chaotic microwave billiards for a local, piston-like boundary perturbation. We experimentally verify a predicted non-monotonic cross-over from the Fermi Golden Rule to the escape-rate regime of the Loschmidt echo decay with increasing local boundary perturbation. In particular, we observe pronounced oscillations of the decay rate as a function of the piston position which quantitatively agree with corresponding theoretical results based on a refined semiclassical approach for local boundary perturbations.
    Original languageEnglish
    Pages (from-to)016214-01620
    JournalPhysical Review E (PRE)
    Volume83
    Issue number1
    DOIs
    Publication statusPublished - Jan 2011

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