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

Eberlein, C.C., Giovanazzi, S. and O'Dell, D. (2005) Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions. Physical Review A, 71. 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
Keywords: Thomas-Fermi equation trapped Bose-Einstein Condensate dipole-dipole interactions
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Gemma Farrell
Date Deposited: 23 Nov 2007
Last Modified: 13 Mar 2017 19:42
URI: http://sro.sussex.ac.uk/id/eprint/1607
Google Scholar:66 Citations

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