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Article
Dynamics of Rotating Two-component Bose-Einstein Condensates and Its Efficient Computation
Physica D: Nonlinear Phenomena
  • Yanzhi Zhang, Missouri University of Science and Technology
  • Weizhu Bao
  • Hailang Li
Abstract

In this paper, we investigate the dynamics of rotating two-component Bose-Einstein condensates (BEC) based on the coupled Gross-Pitaevskiiequations (CGPEs) with an angular momentum rotation term and an external driving field, and propose an efficient and accurate method fornumerical simulations. We prove the conservation of the angular momentum expectation, derive the dynamic laws for the density of eachcomponent and condensate widths, and analyze the dynamics of a stationary state with its center shifted from the trap center. By formulatingthe CGPEs in either 2D (two-dimensional) polar coordinate or 3D cylindrical coordinate system, the angular momentum rotation term becomesa term with constant coefficients. This allows us to develop an efficient time-splitting method which is time reversible, time transverse invariant,unconditionally stable, efficient and accurate for the problem. Moreover, it conserves the total position density in the discretized level. Thenumerical method is applied to verify our analytical results and study the dynamics of quantized vortex lattices in rotating two-component BECwith/without an external driving field.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • rotating two-component Bose-Einstein condensation,
  • coupled Gross-Pitavskii equations,
  • Angular momentum rotation,
  • condensate width,
  • angular momentum expectation,
  • quantized vortex lattice
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2007 Elsevier, All rights reserved.
Publication Date
1-1-2007
Citation Information
Yanzhi Zhang, Weizhu Bao and Hailang Li. "Dynamics of Rotating Two-component Bose-Einstein Condensates and Its Efficient Computation" Physica D: Nonlinear Phenomena (2007) ISSN: 0167-2789
Available at: http://works.bepress.com/yanzhi-zhang/8/