• DOI:10.1103/PhysRevA.71.033618
Corpus ID: 14347048

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

@article{Eberlein2005ExactSO,
  title={Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions},
  author={C. Eberlein and S. Giovanazzi and D. O'Dell},
  journal={Physical Review A},
  year={2005},
  volume={71},
  pages={033618}
}

C. Eberlein, S. Giovanazzi, D. O'Dell

Published 2005

Physics

Physical Review A

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… CONTINUE READING

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