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A Symplectic Scheme on Numerical Study for BEC

In: Computational Mechanics

Author

Listed:
  • Yimin Tian

    (Beijing Institute of Graphic Communication, Mathematics and Physics Division)

  • Mengzhao Qin

    (Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Sciences Academic Sinica)

  • Yongming Zhang

    (Beijing Institute of Graphic Communication, Mathematics and Physics Division)

  • Tao Ma

    (Beijing Institute of Graphic Communication, Mathematics and Physics Division)

Abstract

For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a kind of symplectic difference schemes was constructed, which is second order in time and arbitrary order in space to investigate the evolution of vortices of BEC in this paper. First, we look for a steady state solution of the imaginary time G-P equation. Then, we numerically study the vortices’s development in real time, starting with the solution in imaginary time as initial value.

Suggested Citation

  • Yimin Tian & Mengzhao Qin & Yongming Zhang & Tao Ma, 2007. "A Symplectic Scheme on Numerical Study for BEC," Springer Books, in: Computational Mechanics, pages 387-387, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-75999-7_187
    DOI: 10.1007/978-3-540-75999-7_187
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