On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
Soft Condensed Matter
2010-01-28 v2
Abstract
We derive an exact solution to the Thomas-Fermi equation for a Bose-Einstein condensate which has dipole-dipole interactions as well as the usual s-wave contact interaction, in a harmonic trap. Remarkably, despite the non-local anisotropic nature of the dipolar interaction the solution is an inverted parabola, as in the pure s-wave case, but with a different aspect ratio. Various properties such as electrostriction and stability are discussed.
Keywords
Cite
@article{arxiv.cond-mat/0311100,
title = {On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions},
author = {Claudia Eberlein and Stefano Giovanazzi and Duncan H J O'Dell},
journal= {arXiv preprint arXiv:cond-mat/0311100},
year = {2010}
}
Comments
11 pages, 5 figures