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• W2084521181 abstract "We study the short-time stability of quantum dynamics in quasi-one-dimensional systems with respect to small localized perturbations of the potential. To this end, we address, analytically and numerically, the decay of the Loschmidt echo (LE) during times short compared to the Ehrenfest time. We find that the LE is generally a non-monotonous function of time and exhibits strongly pronounced minima and maxima at the instants of time when the corresponding classical particle traverses the perturbation region. We also show that, under general conditions, the envelope decay of the LE is well approximated by a Gaussian, and we derive explicit analytical formulas for the corresponding decay time. Finally, we demonstrate that the observed non-monotonicity of the LE decay is only pertinent to one-dimensional (and, more generally, quasi-one-dimensional systems), and that the short-time decay of the LE can be monotonous in higher number of dimensions." @default.
• W2084521181 created "2016-06-24" @default.
• W2084521181 creator A5022426243 @default.
• W2084521181 date "2011-05-16" @default.
• W2084521181 modified "2023-09-25" @default.
• W2084521181 title "Nonmonotonic short-time decay of the Loschmidt echo in quasi-one-dimensional systems" @default.
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• W2084521181 doi "https://doi.org/10.1103/physreve.83.056210" @default.
• W2084521181 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/21728633" @default.
• W2084521181 hasPublicationYear "2011" @default.
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