Abstract
We consider analytically and numerically chaotic walking of cold atoms in a tilted optical lattice created by two counter-propagating running waves with an additional external field in the semiclassical and Hamiltonian approximations. The effect consists in random-like changing the direction of atomic motion in a rigid lattice under the influence of a constant force due to a specific behavior of the atomic dipole-moment component that changes abruptly in a random-like manner while atoms cross standing-wave nodes. Chaotic walking generates a fractal-like scattering of atoms that manifests itself in a self-similar structure of the scattering function in the atom–field detuning in the position and momentum spaces. We show that the probability distribution function of the scattering time decays in a non-exponential way with a power-law tail.
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Prants, S.V., Vitkovsky, V.O. Chaotic walking and fractal scattering of atoms in a tilted optical lattice. J Russ Laser Res 33, 293–300 (2012). https://doi.org/10.1007/s10946-012-9284-9
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DOI: https://doi.org/10.1007/s10946-012-9284-9