Exact Hydrodynamics of a Trapped Dipolar Bose-Einstein Condensate

Duncan H. J. O’Dell, Stefano Giovanazzi, and Claudia Eberlein
Phys. Rev. Lett. 92, 250401 – Published 21 June 2004

Abstract

We present exact results in the Thomas-Fermi regime for the statics and dynamics of a harmonically trapped Bose-Einstein condensate that has dipole-dipole interactions in addition to the usual s-wave contact interactions. Remarkably, despite the nonlocal and anisotropic nature of the dipolar interactions, the density profile in a general time-dependent harmonic trap is an inverted parabola. The evolution of the condensate radii is governed by local, ordinary differential equations, and as an example we calculate the monopole and quadrupole shape oscillation frequencies.

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  • Received 5 August 2003

DOI:https://doi.org/10.1103/PhysRevLett.92.250401

©2004 American Physical Society

Authors & Affiliations

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

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

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Issue

Vol. 92, Iss. 25 — 25 June 2004

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