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Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps

E. L. Bolda·E. Tiesinga·P. S. Julienne
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Abstract

We describe a model for s-wave collisions between ground state atoms in optical lattices, considering especially the limits of quasi-one and two dimensional axisymmetric harmonic confinement. When the atomic interactions are modelled by an s-wave Fermi-pseudopotential, the relative motion energy eigenvalues can easily be obtained. The results show that except for a bound state, the trap eigenvalues are consistent with one- and two- dimensional scattering with renormalized scattering amplitudes. For absolute scattering lengths large compared with the tightest trap width, our model predicts a novel bound state of low energy and nearly-isotropic wavefunction extending on the order of the tightest trap width.

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E. L. Bolda, E. Tiesinga, P. S. Julienne. 2003-03-31. Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps. https://doi.org/10.1103/physreva.68.032702

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