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Effective-Range Description of a Bose Gas Under Strong Confinement



Pascal Naidon, Eite Tiesinga, William F. Mitchell, Paul S. Julienne


We point out in this paper that previous theories describing s-wave collisions of atomic bosons confined in 1D or 2D geometries can be extended to much tighter confinements by simply replacing the scattering length by the effective energy-dependent scattering length introduced in previous works. This replacement accurately predicts the position of confinement-induced resonances in strongly confined geometries.
New Journal of Physics


cold collisions, confinement, low dimensions, optical lattices


Naidon, P. , Tiesinga, E. , Mitchell, W. and Julienne, P. (2007), Effective-Range Description of a Bose Gas Under Strong Confinement, New Journal of Physics (Accessed July 15, 2024)


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Created January 29, 2007, Updated February 17, 2017