Scattering fidelity in elastodynamics

Abstract

The recent introduction of the concept of scattering fidelity, causes us to revisit the experiment by Lobkis and Weaver [Phys. Rev. Lett. 90, 254302 (2003)]. There, the ``distortion'' of the coda of an acoustic signal is measured under temperature changes. This quantity is in fact the negative logarithm of scattering fidelity. We re-analyse their experimental data for two samples, and we find good agreement with random matrix predictions for the standard fidelity. Usually, one may expect such an agreement for chaotic systems only. While the first sample, may indeed be assumed chaotic, for the second sample, a perfect cuboid, such an agreement is more surprising. For the first sample, the random matrix analysis yields a perturbation strength compatible with semiclassical predictions. For the cuboid the measured perturbation strength is much larger than expected, but with the fitted values for this strength, the experimental data are well reproduced.

4 pages

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• A random matrix theory of decoherence
• A Bell pair in a generic random matrix environment
• Quantifying Volume Changing Perturbations in a Wave Chaotic System
• Anomalous slow fidelity decay for symmetry breaking perturbations
• Exact Fidelity and Full Fidelity Statistics in Regular and Chaotic Surroundings
• Loschmidt echoes in two-body random matrix ensembles
• Semiclassical approach to fidelity amplitude
• First verification of generic fidelity recovery in a dynamical system
• Fidelity and level correlations in the transition from regularity to chaos
• Non-monotonous short-time decay of the Loschmidt echo in quasi-one-dimensional systems
• Fidelity decay in interacting two-level boson systems: Freezing and revivals
• Long-Time Coherence in Echo Spectroscopy with $\pi /2$--$\pi$--$\pi /2$ Pulse Sequence
• Mode resolved travel time statistics for elastic rays in three-dimensional billiards
• One, Two, and $n$ Qubit Decoherence
• Information acquisition, scrambling, and sensitivity to errors in quantum chaos