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Article
Efficient Numerical Methods For Computing Ground States of Spin-1 Bose-Einstein Condensates Based on Their Characterizations
Journal of Computational Physics
  • Weizhu Bao
  • I-Liang Chern
  • Yanzhi Zhang, Missouri University of Science and Technology
Editor(s)
Tryggvason, G.
Abstract

In this paper, we propose efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates (BECs) with/without the Ioffe-Pritchard magnetic field B(x). when B(x)≠0, a numerical method is introduced to compute the ground states and it is also applied to study properties of ground states. Numerical results suggest that the densities of mF=±1 components in ground states are identical for any nonzero B(x). In particular, if B(x)≡B≠0 is a constant, the ground states satisfy the single-mode approximation. when B(x)≡0, efficient and simpler numerical methods are presented to solve the ground states of spin-1 BECs based on their ferromagnetic/antiferromagnetic characterizations. Numerical simulations show that our methods are more efficient than those in the literature. In addition, some conjectures are made from our numerical observations.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Spin-1 Bose-Einstein Condensate,
  • Ground State,
  • Ferromagnetic,
  • Antiferromagnetic,
  • Single-mode Approximation,
  • Gradient Flow with Discrete Normalization
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2013 Elsevier, All rights reserved.
Publication Date
1-1-2013
Citation Information
Weizhu Bao, I-Liang Chern and Yanzhi Zhang. "Efficient Numerical Methods For Computing Ground States of Spin-1 Bose-Einstein Condensates Based on Their Characterizations" Journal of Computational Physics (2013) ISSN: 0021-9991
Available at: http://works.bepress.com/yanzhi-zhang/12/