Numerical exploration of vortex matter in Bose–Einstein condensates

L.O. Baksmaty, Y. Liu, U. Landman, N.P. Bigelow and H. Pu

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 131-138

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.

Keywords: Bose–Einstein condensate; Gross–Pitaevskii equation; Vortex; Finite element method (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:131-138

DOI: 10.1016/j.matcom.2009.06.011

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