The 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 such a walk can become the basis for nontrivial classical walks 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.

Steering random walks with kicked ultracold atoms / Weiß, Marcel; Groiseau, Caspar; Lam, W. K.; Burioni, Raffaella; Vezzani, Alessandro; Summy, Gil S.; Wimberger, Sandro Marcel. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 92:3(2015), pp. 033606-1-033606-11. [10.1103/PhysRevA.92.033606]

Steering random walks with kicked ultracold atoms

BURIONI, Raffaella;VEZZANI, Alessandro;WIMBERGER, Sandro Marcel
2015

Abstract

The 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 such a walk can become the basis for nontrivial classical walks 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.
Steering random walks with kicked ultracold atoms / Weiß, Marcel; Groiseau, Caspar; Lam, W. K.; Burioni, Raffaella; Vezzani, Alessandro; Summy, Gil S.; Wimberger, Sandro Marcel. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 92:3(2015), pp. 033606-1-033606-11. [10.1103/PhysRevA.92.033606]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2796842
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