Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
Other Condensed Matter
2007-05-23 v1 Quantum Physics
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.
Cite
@article{arxiv.cond-mat/0506272,
title = {Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps},
author = {V. Peano and M. Thorwart and C. Mora and R. Egger},
journal= {arXiv preprint arXiv:cond-mat/0506272},
year = {2007}
}
Comments
22 pages, 3 figures