Skip to main content
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.

Effective-Scattering-Length Model of Ultracold Atomic Collisions and Feshbach Resonances in Tight Harmonic Traps

Published

Author(s)

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

Abstract

We consider the problem of cold atomic collisions in tight traps, where the absolute scattering length may be larger than the trap size. As long as the size of the trap ground state is larger than a characteristic length of the van der Waals potential, the energy eigenvalues can be computed self-consistently from the scattering amplitude for untrapped atoms. By comparing with the exact numerical eigenvalues of the trapping plus interatomic potentials, we verify that our model gives accurate eigenvalues up to mK energies for single channel s-wave scattering of Na atoms in an isotropic harmonic trap, even when outside the Wigner threshold regime. Our model works also for multi-channel scattering, where the scattering length can be made large due to a magnetically tunable Feshbach resonance.
Citation
Physical Review A (Atomic, Molecular and Optical Physics)
Volume
66
Issue
No. 1

Keywords

cold atomic collisions, eigenvalues, Feshbach resonance, harmonic atom trap, pseudopotential approximation, scattering length

Citation

Bolda, E. , Tiesinga, E. and Julienne, P. (2002), Effective-Scattering-Length Model of Ultracold Atomic Collisions and Feshbach Resonances in Tight Harmonic Traps, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed April 21, 2024)
Created July 1, 2002, Updated February 17, 2017