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

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.

6 pages, 8 figures

References in corpus (3)

• Dynamics of Loschmidt echoes and fidelity decay
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Microwave fidelity studies by varying antenna coupling

Cited by in corpus (3)

• Loschmidt Echo
• Quantifying Volume Changing Perturbations in a Wave Chaotic System
• Loschmidt echo in quantum maps: the elusive nature of the Lyapunov regime