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Effective-range description of a Bose gas under strong one- or two-dimensional confinement

Pascal Naidon·Eite Tiesinga·William F. Mitchell·Paul S. Julienne
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Abstract

We point out that theories describing s-wave collisions of bosonic atoms confined in one- or two-dimensional geometries can be extended to much tighter confinements than previously thought. This is achieved by replacing the scattering length by an energy-dependent scattering length which was already introduced for the calculation of energy levels under 3D confinement. This replacement accurately predicts the position of confinement-induced resonances in strongly confined geometries.

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Pascal Naidon, Eite Tiesinga, William F. Mitchell, Paul S. Julienne. 2007-11-02. Effective-range description of a Bose gas under strong one- or two-dimensional confinement. https://doi.org/10.1088/1367-2630%2F9%2F1%2F019

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