Coupled $\ell$-wave confinement-induced resonances in cylindrically symmetric waveguides

Abstract

A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to the confinement. The corresponding resonance condition is obtained analytically using the $K$-matrix formalism. Atomic scattering is described by transition diagrams which depict all relevant processes the atoms undergo during the collision. Our analytical results are compared to corresponding numerical data and show very good agreement.

9 pages, 5 figures

References in corpus (7)

• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Spectroscopy of Ultracold, Trapped Cesium Feshbach Molecules
• Suppression of Quantum Scattering in Strongly Confined Systems
• Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
• Modeling interactions for resonant p-wave scattering
• Multi-Channel Atomic Scattering and Confinement-Induced Resonances in Waveguides
• Confinement-induced p-wave resonances from s-wave interactions

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