Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy
arXiv:1012.5156 · doi:10.1103/PhysRevA.83.053615
Abstract
We study atom-atom scattering in quasi-one-dimensional geometries with transverse anisotropy. By assuming an s-wave pseudo-potential of contact interaction, we show that the system would exhibit a single confinement-induced resonance, where the scattering process degenerates to a total reflection as a one-dimensional gas of impenetrable bosons. For a general form of interaction, we present a formal calculation based on the two-channel model and conclude the existence of only one confinement-induced resonance. Our findings are inconsistent with a recent experiment by Haller et al. [Phys. Rev. Lett. 104, 153203 (2010)], where a splitting of confinement-induced resonances has been observed in an anisotropic quasi-one-dimensional quantum gas of Cs atoms.
14 pages, 3 figures
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- Multichannel Effects near Confinement-Induced Resonances in Harmonic Waveguides
- Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
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- Confinement-induced resonance from the generalized Gross-Pitaevskii equations