Fractional dynamics in the Lévy quantum kicked rotor.
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. We also connect the anomalous diffusion found with a fractional dynamics.
Romanelli
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Instituto de Física, Facultad de Ingeniería Universidad de la República, C.C. 30, C.P. 11000, Montevideo, Uruguay. alejo@fing.edu.uy