Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy

Details Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse Anisotropy

2010-12-23

arxiv.org/abs/1012.5156v1

Phys. Rev. A 83, 053615 (2009)

Physics

Condensed Matter

Quantum Gases

14 pages, 3 figures

Scientific paper

10.1103/PhysRevA.83.053615

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.

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