Shifts and widths of Feshbach resonances in atomic waveguides

Abstract

We develop and analyze a theoretical model which yields the shifts and widths of Feshbach resonances in an atomic waveguide. It is based on a multichannel approach for confinement-induced resonances (CIRs) and atomic transitions in the waveguides in the multimode regime. We replace in this scheme the single-channel scalar interatomic interaction by the four-channel tensorial potential modeling resonances of broad, narrow and overlapping character according to the two-channel parametrization of A.D.Lange et al. As an input the experimentally known parameters of Feshbach resonances in the absence of the waveguide are used. We calculate the shifts and widths of s-, d- and g-wave magnetic Feshbach resonances of Cs atoms emerging in harmonic waveguides as CIRs and resonant enhancement of the transmission at zeros of the free space scattering length. We have found the linear dependence of the width of the resonance on the longitudinal atomic momentum and quadratic dependence on the waiveguide width. Our model opens novel possibilities for quantitative studies of the scattering processes in ultracold atomic gases in waveguides beyond the framework of s-wave resonant scattering.

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Cited by in corpus (10)

• Universal few-body physics and cluster formation
• Dipolar confinement-induced resonances of ultracold gases in waveguides
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Energy dependent $\ell$-wave confinement-induced resonances
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy
• Quasi one-dimensional Bose-Einstein condensate in gravito-optical surface trap
• Ultracold-atom collisions in atomic waveguides : A two-channel analysis
• Simple model of Feshbach resonance in the strong-coupling regime
• Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonances
• One-dimensional ultracold atomic gases: Impact of the effective range on integrability