Scattering of a Single Atom on a Localized BEC in Optical Lattice – Niels Bohr Institute - University of Copenhagen

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Scattering of a Single Atom on a Localized BEC in Optical Lattice

Recent works on the scattering of atom beams by Bose-Einstein condensate
in an optical lattice have predicted the appearance of total reflection due
to Fano resonance with the condensate. These predictions where made using the
Gross-Pitaevskii model, which is a mean field approximation. Such results
are expected to become inaccurate in the limit of small number of particles
in the condensate. We present a model based on the Bose-Hubbard Hamiltonian for
the scattering of a single boson on a localized condensate, which avoids the mean field approximation. The resulting transmission does not converge to the classical results when the number of particles is increased, but shows other features. These features includes points of total reflection, and different asymptotics as the classical limit is approached.