%0 Journal Article
%T Steering random walks with kicked ultracold atoms
%A Marcel Wei£¿
%A Caspar Groiseau
%A W. K. Lam
%A Raffaella Burioni
%A Alessandro Vezzani
%A Gil S. Summy
%A Sandro Wimberger
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevA.92.033606
%X A kicking sequence of the atom optics kicked rotor at quantum resonance can be interpreted as a quantum random walk in momentum space. We show how to steer such a random walk by applying a random sequence of intensities and phases of the kicking lattice chosen according to a probability distribution. This distribution converts on average into the final momentum distribution of the kicked atoms. In particular, it is shown that a power-law distribution for the kicking strengths results in a L\'evy walk in momentum space and in a power-law with the same exponent in the averaged momentum distribution. Furthermore, we investigate the stability of our predictions in the context of a realistic experiment with Bose-Einstein condensates.
%U http://arxiv.org/abs/1506.09101v1