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

Claudia Eberlein, Stefano Giovanazzi, and Duncan H. J. O’Dell
Phys. Rev. A 71, 033618 – Published 15 March 2005

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.

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  • Received 20 August 2004

DOI:https://doi.org/10.1103/PhysRevA.71.033618

©2005 American Physical Society

Authors & Affiliations

Claudia Eberlein1, Stefano Giovanazzi2, and Duncan H. J. O’Dell1

  • 1Department of Physics & Astronomy, University of Sussex, Falmer, Brighton BN1 9QH, England
  • 2School of Physics & Astronomy, University of St Andrews, North Haugh, St. Andrews KY16 9SS, Scotland

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Issue

Vol. 71, Iss. 3 — March 2005

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