Fractional dynamics in the L\'evy quantum kicked rotor
Quantum Physics
2009-11-13 v1
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.
Cite
@article{arxiv.0804.2498,
title = {Fractional dynamics in the L\'evy quantum kicked rotor},
author = {Alejandro Romanelli},
journal= {arXiv preprint arXiv:0804.2498},
year = {2009}
}