Resonant scattering of ultracold atoms in low dimensions.
Low energy scattering amplitudes for two atoms in one- and two-dimensional atomic waveguides are derived for short range isotropic and resonant interactions in high partial wave channels. Taking into account the finite width of the resonance which was neglected in previous works is shown to have important implications in the properties of the confinement induced resonances. For spin polarized fermions in quasi-1D waveguides, it imposes a strong constraint on the atomic density for achieving the Fermi Tonks Girardeau gas. For a planar waveguide, the characteristics of the 2D induced scattering resonances in p- and d-waves are determined as a function of the 3D scattering parameters and of the waveguide frequency.
Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie, case courier 121, 4 place Jussieu, 75252 Paris Cedex 05, France.
Ludovic
L
Pricoupenko