Goussev, Arseni (2011) Nonmonotonic short-time decay of the Loschmidt echo in quasi-one-dimensional systems. PHYSICAL REVIEW E, 83 (5): 056210. ISSN 1539-3755,
Full text not available from this repository.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 analytically and numerically address the decay of the Loschmidt echo (LE) during times that are short compared to the Ehrenfest time. We find that the LE is generally a nonmonotonic function of time and exhibits strongly pronounced minima and maxima at the instants 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 nonmonotonic nature 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 monotonic in a higher number of dimensions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POLARIZATION ECHOES; DYNAMICS; FIDELITY; FLOW; NMR; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jun 2020 09:01 |
| Last Modified: | 15 Jun 2020 09:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20819 |
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