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

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Published 29 January 2007 Published under licence by IOP Publishing Ltd
, , Focus on Cold Atoms in Optical Lattices Citation Pascal Naidon et al 2007 New J. Phys. 9 19 DOI 10.1088/1367-2630/9/1/019

1367-2630/9/1/19

Abstract

We point out that theories describing s-wave collisions of bosonic atoms confined in one-dimensional (1D) or two-dimensional (2D) 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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10.1088/1367-2630/9/1/019