Fidelity Decay in Chaotical and Random Systems

• Authors: H. Kohler
• Languages of publication: EN

Abstracts

EN

Fidelity is the overlap of wave functions with the same initial state propagated in time by slightly different Hamiltonians. Its behavior depends crucially on the choice of the initial wave function state. We review two cases: first, the initial state is random. In this case a simple analytic relation with parametric spectral correlations can be established. The latter quantity is completely determined by the spectral data and can therefore be measured, without knowledge about the wave function. Second, the initial state is an eigenstate of the unperturbed system. In this case fidelity is identical to the survival probability. We find unexpected features like revival and non-ergodicity. In this case fluctuations around the mean are large and the full fidelity distribution becomes a non-trivial function. The full fidelity distribution can be calculated in the long time limit and for small perturbations.

Keywords

EN

05.30.-d; 03.65.Yz; 05.45.Mt; 73.23.-b

Discipline

• 03.65.Yz: Decoherence; open systems; quantum statistical methods(see also 03.67.Pp in quantum information; for decoherence in Bose-Einstein condensates, see 03.75.Gg)
• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)
• 73.23.-b: Electronic transport in mesoscopic systems
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 6A
• Pages: A-119-A-126

Dates

published

2011-12

Contributors

author

H. Kohler

• Instituto de Ciencia de Materiales de Madrid, CSIC, Sor Juana de la Cruz 3, Cantoblanco, 28049 Madrid, Spain

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Identifiers

DOI

10.12693/APhysPolA.120.A-119