Fidelity decay for local perturbations: microwave evidence for oscillating decay exponents
arXiv:1009.3222 · doi:10.1103/PhysRevE.83.016214
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.
arXiv comment6 pages, 8 figures
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- Non-monotonous short-time decay of the Loschmidt echo in quasi-one-dimensional systems
- Lyapunov decay in quantum irreversibility
- Perturbations and chaos in quantum maps