PhysRevA.71.033618.pdf (230.26 kB)
Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
journal contribution
posted on 2023-06-08, 00:22 authored by Claudia Eberlein, Stefano Giovanazzi, Duncan H J O'DellWe 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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- Published
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- Published version
Journal
Physical Review AISSN
1050-2947External DOI
Issue
3Volume
71Page range
033618Department affiliated with
- Physics and Astronomy Publications
Notes
The paper derives the exact solution of the Thomas-Fermi equation for a BEC with long-range interactions, and thus provides the foundations for detailed theoretical predictions about such BECs. The work was done in collaboration with two postdocs, but I did most of the calculations.Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06First Open Access (FOA) Date
2016-03-22First Compliant Deposit (FCD) Date
2017-03-13Usage metrics
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