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

作者: Ionut Danaila , Frédéric Hecht

DOI: 10.1016/J.JCP.2010.05.032

关键词:

摘要: … in a magnetic potential V ∼ trap with radial symmetry and transverse trapping frequency ω … r , t n + 1 ) is then normalized and used to set the solution at t n+1 satisfying the unitary norm …

参考文章(43)
I. Danaila, A. Aftalion, Giant vortices in combined harmonic and quartic traps (6 pages) Physical Review A. ,vol. 69, pp. 33608- ,(2004)
Bijan Mohammadi, Frédéric Hecht, Manolo Castro-Diaz, New Progress in Anisotropic Grid Adaptation for Inviscid and Viscous Flows Simulations INRIA. ,(1995)
John William Neuberger, Sobolev gradients and differential equations ,(1997)
J. Dalibard, K. W. Madison, W. Wohlleben, F. Chevy, Vortices in a stirred Bose-Einstein condensate Journal of Modern Optics. ,vol. 47, pp. 2715- 2723 ,(2000) , 10.1080/09500340008232191
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, M. J. Holland, J. E. Williams, C. E. Wieman, E. A. Cornell, Watching a Superfluid Untwist Itself: Recurrence of Rabi Oscillations in a Bose-Einstein Condensate Physical Review Letters. ,vol. 83, pp. 3358- 3361 ,(1999) , 10.1103/PHYSREVLETT.83.3358
Nauman Raza, Sultan Sial, S. Siddiqi, Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element setting Journal of Computational Physics. ,vol. 229, pp. 1621- 1625 ,(2010) , 10.1016/J.JCP.2009.10.048