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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    References

    SHOWING 1-10 OF 37 REFERENCES
    Bose–Einstein condensation of atomic gases
    • 400
    • PDF
    Methods of theoretical physics
    • 9,240
    • PDF
    Phys. Rev. A
    • Phys. Rev. A
    • 2002
    Electromagnetic Fields ͑Wiley
    • Electromagnetic Fields ͑Wiley
    • 1978
    Electromagnetic fields
    • 9
    J. Math. Phys
    • J. Math. Phys
    • 1961
    Electromagnetic Theory ͑McGraw-Hill
    • Electromagnetic Theory ͑McGraw-Hill
    • 1941
    Phys. Rev. Lett
    • Phys. Rev. Lett
    • 1932
    Phys. Rev. Lett
    • Phys. Rev. Lett
    • 1932