Resonant Scattering of Ultracold Atoms in Low Dimensions

Ludovic Pricoupenko (1)

1 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

Low energy scattering amplitudes for two atoms in one- and two-dimensional atomic wave guides 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 wave guides it imposes a strong constraint on the atomic density for achieving the Fermi Tonks Girardeau gas. For a planar wave guide, the charateristics of the 2D induced scattering resonances in $p$- and $d$-wave are determined as a function of the 3D scattering parameters and of the wave guide frequency.

Mots clés: Confined Induced Resonance; Scattering in reduced dimensions; p-wave and d-wave scattering; Fermi Tonks Girardeau gas

Domaines: Autre [cond-mat.other]

Ludovic Pricoupenko. Resonant Scattering of Ultracold Atoms in Low Dimensions. Physical Review Letters, 2008, 100, pp.170404. ⟨10.1103/PhysRevLett.100.170404⟩. ⟨hal-00152359v3⟩