Steering random walks with kicked ultracold atoms
arXiv:1506.09101 · doi:10.1103/PhysRevA.92.033606
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.
detailed study of random walks and their implementation with a Bose condensate, 12 pages, 7 figures
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Cited by in corpus (13)
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- Initial state dependence of a quantum-resonance ratchet
- Quantum walk of a Bose-Einstein condensate in the Brillouin zone
- Nonlinear Floquet dynamics of spinor condensates in an optical cavity: Cavity-amplified parametric resonance
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