1 research outputs found
Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps
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.Comment: 9 pages, 8 figures; submitted to Phys. Rev.