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

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

2010-09-16

arxiv.org/abs/1009.3222v2

Physical Review E 83, 016214 (2011)

Nonlinear Sciences

Chaotic Dynamics

6 pages, 8 figures

Scientific paper

10.1103/PhysRevE.83.016214

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.

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