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

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

2003-03-31

arxiv.org/abs/quant-ph/0304001v1

Physics

Quantum Physics

9 pages, 8 figures; submitted to Phys. Rev. A

Scientific paper

10.1103/PhysRevA.68.032702

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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