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

Published

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

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 May 20, 2024)

Issues

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Created September 1, 2003, Updated February 17, 2017