Steering random walks with kicked ultracold atoms
Abstract
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.
Cite
@article{arxiv.1506.09101,
title = {Steering random walks with kicked ultracold atoms},
author = {Marcel Weiß and Caspar Groiseau and W. K. Lam and Raffaella Burioni and Alessandro Vezzani and Gil S. Summy and Sandro Wimberger},
journal= {arXiv preprint arXiv:1506.09101},
year = {2015}
}
Comments
detailed study of random walks and their implementation with a Bose condensate, 12 pages, 7 figures