Pseudopotential Model of Ultracold Atomic Collisions in Quasi-One and Two-Dimensional Traps

Published

September 1, 2003

Author(s)

E L. Bolda, Eite Tiesinga, Paul S. Julienne

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.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

68

Issue

No. 3

Pub Type

Journals

Keywords

atom trap, one-dimensional, pseudopotential, two-dimensional, ultra cold atomic collision

Citation

Bolda, E. , Tiesinga, E. and Julienne, P. (2003), Pseudopotential Model of Ultracold Atomic Collisions in Quasi-One and Two-Dimensional Traps, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 11, 2025)