Efficiently Computing Vortex Lattices in Rapid Rotating Bose-Einstein Condensates

Editor(s)

Scott, N. Stanley

Abstract

We propose an efficient and spectrally accurate numerical method for computing vortex lattices in rapid rotating Bose-Einstein condensates (BECs), especially with strong repulsive interatomic interaction. The key ingredient of this method is to discretize the normalized gradient flow by Fourier spectral method in space and by semi-implicit Euler method in time. Different vortex lattice structures of condensate ground states in two-dimensional (2D) and 3D rapid rotating BECs are reported for both harmonic and harmonic-plus-quartic potentials. In addition, vortex lattices in rotating BECs with optical lattice potentials are also presented.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Rotating Bose-Einstein condensate; gross-Pitaevskii equation; vortex lattices; strong repulsive interaction regime; angular momentum rotation

International Standard Serial Number (ISSN)

0010-4655

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2009 Elsevier, All rights reserved.

Publication Date

01 Jan 2009

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