Numerical exploration of vortex matter in Bose-Einstein condensates

  • Baksmaty L
  • Liu Y
  • Landman U
 et al. 
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We describe a finite element numerical approach to the full Hartree-Fock-Bogoliubov treatment of a vortex lattice in a rapidly rotating Bose-Einstein condensate. We study the system in the regime of high thermal or significant quantum fluctuations where we are presented with a very large nonlinear unsymmetric eigenvalue problem which is indefinite and which possesses low-lying excitations clustered arbitrarily close to zero, a problem that requires state-of-the-art numerical techniques. © 2009 IMACS.

Author-supplied keywords

  • Bose-Einstein condensate
  • Finite element method
  • Gross-Pitaevskii equation
  • Vortex

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  • L. O. Baksmaty

  • Y. Liu

  • U. Landman

  • N. P. Bigelow

  • H. Pu

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