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• W1977434224 abstract "We introduce a novel method to investigate the stability of wave packet dynamics under perturbations of the Hamiltonian. Our approach relies on semiclassical approximations, but is non-perturbative. Two separate contributions to the quantum fidelity are identified: one factor derives from the dispersion of the wave packets, whereas the other factor is determined by the separation of a trajectory of the perturbed classical system away from a corresponding unperturbed trajectory. We furthermore estimate both contributions in terms of classical Lyapunov exponents and find a decay of fidelity that is, generically, at least exponential, but may also be doubly exponential. The latter case is shown to be realised for inverted harmonic oscillators." @default.
• W1977434224 created "2016-06-24" @default.
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• W1977434224 creator A5054293158 @default.
• W1977434224 date "2006-02-23" @default.
• W1977434224 modified "2023-09-27" @default.
• W1977434224 title "Stability of wave-packet dynamics under perturbations" @default.
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• W1977434224 doi "https://doi.org/10.1103/physreve.73.026223" @default.
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