Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate

We derive the exact density profile of a harmonically trapped Bose-Einstein condensate (BEC) which has dipole-dipole interactions as well as the usual s-wave contact interaction, in the Thomas-Fermi limit. Remarkably, despite the non-local anisotropic nature of the dipolar interaction, the density t...

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Bibliographic Details
Published in:arXiv.org 2003-08
Main Authors: O'Dell, Duncan H J, Giovanazzi, Stefano, Eberlein, Claudia
Format: Article
Language:English
Subjects:
Aspect ratio
Condensates
Density
Dipole interactions
Fluid dynamics
Fluid flow
Hydrodynamics
Matter & antimatter
Quadrupoles
Time dependence
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Summary:We derive the exact density profile of a harmonically trapped Bose-Einstein condensate (BEC) which has dipole-dipole interactions as well as the usual s-wave contact interaction, in the Thomas-Fermi limit. Remarkably, despite the non-local anisotropic nature of the dipolar interaction, the density turns out to be an inverted parabola, just as in the pure s-wave case, but with a modified aspect ratio. The ``scaling'' solution approach of Kagan, Surkov, and Shlyapnikov [Phys. Rev. A 54, 1753 (1996)] and Castin and Dum [Phys. Rev. Lett. 77}, 5315 (1996)] for a BEC in a time-dependent trap can therefore be applied to a dipolar BEC, and we use it to obtain the exact monopole and quadrupole shape oscillation frequencies.
ISSN:2331-8422
DOI:10.48550/arxiv.0308096