Regular and anomalous quantum diffusion in the Fibonacci kicked rotator

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.

Sub-ballistic behavior in quantum systems with Lévy noise

We investigate the quantum walk and the quantum kicked rotor in resonance subjected to noise with a Lévy waiting time distribution. We find that both systems have a sub-ballistic wave function spreading as shown by a power-law tail of the standard deviation.