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

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

2005-06-13

arxiv.org/abs/cond-mat/0506272v1

New J. Phys. 7 (2005) 192

Physics

Condensed Matter

Other Condensed Matter

22 pages, 3 figures

Scientific paper

10.1088/1367-2630/7/1/192

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.

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