Analytical treatment of bosonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave scattering in isotropic harmonic waveguides

Giannakeas, P.; Melezhik, Vladimir S.; Schmelcher, Peter

doi:10.1103/physreva.85.042703

Cited by 3 publications

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References 37 publications

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“…By applying γ = −i for each single ℓ partial wave one obtains the condition for resonant scattering of bosons or spin-polarized fermions under strong transverse confinement. Thus for ℓ = 0, 1, 2 one will obtain the same resonance condition as in [2,34,35], being in agreement with pseudopotential theory.…”

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confidence: 78%

Coupledℓ-wave confinement-induced resonances in cylindrically symmetric waveguides

2012

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A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence ℓ-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.

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confidence: 78%

Coupledℓ-wave confinement-induced resonances in cylindrically symmetric waveguides

2012

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Shifts and widths of Feshbach resonances in atomic waveguides

2012

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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. [35]. 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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Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy

et al. 2017

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We theoretically study the width of the s-wave confinement-induced resonance (CIR) in quasione-dimensional atomic gases under tunable transversely anisotropic confinement. We find that the width of the CIR can be tuned by varying the transverse anisotropy. The change in the width of the CIR can manifest itself in the position of the discontinuity in the interaction energy density, which can be probed experimentally.

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Analytical treatment of bosonicd-wave scattering in isotropic harmonic waveguides

Cited by 3 publications

References 37 publications

Coupledℓ-wave confinement-induced resonances in cylindrically symmetric waveguides

Coupledℓ-wave confinement-induced resonances in cylindrically symmetric waveguides

Shifts and widths of Feshbach resonances in atomic waveguides

Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy

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