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Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps

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Published 12 September 2005 Published under licence by IOP Publishing Ltd
, , Citation V Peano et al 2005 New J. Phys. 7 192 DOI 10.1088/1367-2630/7/1/192

1367-2630/7/1/192

Abstract

We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional (1D) trapping potentials, allowing for two different atom species. As a consequence, the centre-of-mass and relative degrees of freedom do not factorize. We derive bound-state solutions and obtain the general scattering solution, which exhibits several resonances in the 1D scattering length induced by the confinement. We apply our formalism to two experimentally relevant cases: (i) interspecies scattering in a two-species mixture, and (ii) the two-body problem for a single species in a non-parabolic trap.

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10.1088/1367-2630/7/1/192