U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

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
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 January 24, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created September 1, 2003, Updated February 17, 2017