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arXiv · 1506.09101

Steering random walks with kicked ultracold atoms

Marcel Weiß·Caspar Groiseau·W. K. Lam·Raffaella Burioni·Alessandro Vezzani·Gil S. Summy·Sandro Wimberger
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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 Lévy 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.

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Marcel Weiß, Caspar Groiseau, W. K. Lam, Raffaella Burioni, Alessandro Vezzani, Gil S. Summy, Sandro Wimberger. 2015-06-27. Steering random walks with kicked ultracold atoms. https://doi.org/10.1103/physreva.92.033606

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