Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
Abstract
We derive rigorous one- and two-dimensional mean-field equations for cigar- and pancake-shaped dipolar Bose-Einstein condensates with arbitrary polarization angle. We show how the dipolar interaction modifies the contact interaction of the strongly confined atoms. In addition, our equations introduce a nonlocal potential, which is anisotropic for pancake-shaped condensates. We propose to observe this anisotropy via measurement of the condensate aspect ratio. We also derive analytically approximate density profiles from our equations. Both the numerical solutions of our reduced mean-field equations and the analytical density profiles agree well with numerical solutions of the full Gross-Pitaevskii equation while being more efficient to compute.
Keywords
Cite
@article{arxiv.1006.4950,
title = {Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions},
author = {Yongyong Cai and Matthias Rosenkranz and Zhen Lei and Weizhu Bao},
journal= {arXiv preprint arXiv:1006.4950},
year = {2010}
}
Comments
11 pages, 5 figures. Updated references