Fractional dynamics in the Lévy quantum kicked rotor

Physics – Quantum Physics

Scientific paper

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Scientific paper

10.1103/PhysRevE.78.056209

We investigate the quantum kicked rotor in resonance subjected to momentum measurements with a L\'evy 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 L\'evy distribution and connect this anomalous diffusion with a fractional dynamics.

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