Phys. Rev. A 71, 033618 (2005) [12 pages]Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactionsReceived 20 August 2004; published 15 March 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.033618
DOI:
10.1103/PhysRevA.71.033618
PACS:
03.75.Hh, 34.20.Cf, 32.80.Qk, 75.80.+q
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