2012/10/31 by Shahpoor Saeidian, Vladimir S. Melezhik, Peter Schmelcher · 16 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Feshbach resonance #Molecule #Physics #Quantum mechanics #Quantum optics and atomic interactions #cond-mat.mes-hall #cond-mat.quant-gas #physics.atom-ph #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.86.062713
published in Physical Review A 86(6) (American Physical Society)
arxiv created 2012/10/31 · openalex publication_date 2012/12/26 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. In this scheme we replace 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 Lange et al. [Phys. Rev. A 79, 013622 (2009)]. 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 waveguide width. Our model opens possibilities for quantitative studies of the scattering processes in ultracold atomic gases in waveguides beyond the framework of s-wave resonant scattering.