Fractional dynamics in the Lévy quantum kicked rotor
arXiv:0804.2498 · doi:10.1103/PhysRevE.78.056209
Abstract
We investigate the quantum kicked rotor in resonance subjected to momentum measurements with a Lévy waiting time distribution. We find that the system has a sub-ballistic behavior. We obtain an analytical expression for the exponent of the power law of the variance as a function of the characteristic parameter of the Lévy distribution and connect this anomalous diffusion with a fractional dynamics.
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