Weak dynamical localization in periodically kicked cold atomic gases
arXiv:cond-mat/0403482 · doi:10.1103/PhysRevLett.93.124101
Abstract
Quantum kicked rotor was recently realized in experiments with cold atomic gases and standing optical waves. As predicted, it exhibits dynamical localization in the momentum space. Here we consider the weak localization regime concentrating on the Ehrenfest time scale. The later accounts for the spread-time of a minimal wavepacket and is proportional to the logarithm of the Planck constant. We show that the onset of the dynamical localization is essentially delayed by four Ehrenfest times and give quantitative predictions suitable for an experimental verification.
4 pages, 2 figures
References in corpus (8)
- Divergence of the Classical trajectories and Weak Localization
- Transition to Instability in a Kicked Bose-Einstein Condensate
- Field theory of the quantum kicked rotor
- Dynamic localization in quantum dots: analytical theory
- Relaxation and Diffusion for the Kicked Rotor
- Relaxation to the Invariant Density for Kicked Rotor
- The Ehrenfest Oscillations in The Level Statistics of Chaotic Quantum Dots
- Dynamical theory of quantum chaos or hidden random matrix ensemble?
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