Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions

Eberlein, Claudia, Giovanazzi, Stefano and O'Dell, Duncan H J (2005) Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions. Physical Review A, 71 (3). 033618. ISSN 1050-2947

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Abstract

We derive an exact solution to the Thomas-Fermi equation for a Bose-Einstein condensate (BEC) which has dipole-dipole interactions as well as the usual s-wave contact interaction, in a harmonic trap. Remarkably, despite the nonlocal 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. We explain in detail the mathematical tools necessary to describe dipolar BECs with or without cylindrical symmetry. Various properties such as electrostriction and stability are discussed.

Item Type: Article
Additional Information: The paper derives the exact solution of the Thomas-Fermi equation for a BEC with long-range interactions, and thus provides the foundations for detailed theoretical predictions about such BECs. The work was done in collaboration with two postdocs, but I did most of the calculations.
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Depositing User: Claudia Eberlein
Date Deposited: 06 Feb 2012 19:52
Last Modified: 13 Mar 2017 23:55
URI: http://sro.sussex.ac.uk/id/eprint/22715

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