Numerical exploration of vortex matter in Bose-Einstein condensates

Authors:
L. O. Baksmaty;Y. Liu;U. Landman;N. P. Bigelow;H. Pu
Affiliations:
Department of Physics and Astronomy, Rice University, Houston, TX 77251, United States;School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States;School of Physics, Georgia Institute of Technology, Atlanta, GA 30332, United States;Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, United States;Department of Physics and Astronomy, Rice University, Houston, TX 77251, United States
Venue:
Mathematics and Computers in Simulation
Year:
2009

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A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates

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Abstract

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.