Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
arXiv:cond-mat/0506272 · doi:10.1088/1367-2630/7/1/192
Abstract
We solve the two-particle s-wave scattering problem for ultracold atom gases confined in arbitrary quasi-one-dimensional trapping potentials, allowing for two different atom species. As a consequence, the center-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.
22 pages, 3 figures
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