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Dynamics of Loschmidt echoes and fidelity decay
Fidelity serves as a benchmark for the reliability in quantum information processes, and has recently attracted much interest as a measure of the susceptibility of dynamics to perturbations. A richExpand
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Information theory and statistical nuclear reactions. I. General theory and applications to few-channel problems
Abstract Ensembles of scattering S-matrices have been used in the past to describe the statistical fluctuations exhibited by many nuclear-reaction cross sections as a function of energy. In recentExpand
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The mixing distance
Mixing character denotes a property concerning the composition of sets. It was first used in order to present criteria for ligand systems in molecules that assure the existence of chiral isomers.Expand
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Possible resonance effect in the distribution of earthquake damage in Mexico City
The destruction caused by the earthquake of 19 September 1985 in Mexico City shows three remarkable features1. First, a (concentration of damage in the former lake bed; second, a peculiarExpand
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Fidelity amplitude of the scattering matrix in microwave cavities
The concept of fidelity decay is discussed from the point of view of the scattering matrix, and the 'scattering fidelity' is introduced as the parametric cross-correlation of a given S-matrixExpand
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  • Open Access
Theory of Quantum Loschmidt Echoes
In this paper we review our recent work on the theoretical approach to quantum Loschmidt echoes, i.e., various properties of the so-called echo dynamics - the composition of forward and backward timeExpand
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Experimental verification of fidelity decay: from perturbative to fermi golden rule regime.
The scattering matrix was measured for a flat microwave cavity with classically chaotic dynamics. The system can be perturbed by small changes of the geometry. We define the "scattering fidelity" inExpand
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Scattering fidelity in elastodynamics.
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 anExpand
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Microwave fidelity studies by varying antenna coupling.
The fidelity decay in a microwave billiard is considered, where the coupling to an attached antenna is varied. The resulting quantity, coupling fidelity, is experimentally studied for three differentExpand
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Quantization over boson operator spaces
The framework of third quantization - canonical quantization in the Liouville space - is developed for open many-body bosonic systems. We show how to diagonalize the quantum Liouvillean for anExpand
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