Pseudopotential Model of Ultracold Atomic Collisions in Quasi-One and Two-Dimensional Traps
E L. Bolda, Eite Tiesinga, Paul S. Julienne
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.
Physical Review A (Atomic, Molecular and Optical Physics)
atom trap, one-dimensional, pseudopotential, two-dimensional, ultra cold atomic collision
, Tiesinga, E.
and Julienne, P.
Pseudopotential Model of Ultracold Atomic Collisions in Quasi-One and Two-Dimensional Traps, Physical Review A (Atomic, Molecular and Optical Physics)
(Accessed December 3, 2023)