Fractional dynamics in the L\'evy quantum kicked rotor
Alejandro Romanelli
TL;DR
This paper explores how a quantum kicked rotor exhibits anomalous diffusion when subjected to Le9vy-distributed momentum measurements, linking fractional dynamics to sub-ballistic behavior.
Contribution
It introduces an analytical model connecting Le9vy waiting times with fractional dynamics in the quantum kicked rotor, revealing new insights into anomalous diffusion behavior.
Findings
The system exhibits sub-ballistic behavior under Le9vy measurements.
An analytical expression for the power-law exponent of variance is derived.
The anomalous diffusion is connected to fractional dynamics.
Abstract
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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