A Symplectic Scheme on Numerical Study for BEC

Yimin Tian (), Mengzhao Qin, Yongming Zhang and Tao Ma
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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

A chapter in Computational Mechanics, 2007, pp 387-387 from Springer

Abstract: 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.

Keywords: Steady State; Computational Mathematic; State Solution; Difference Scheme; Steady State Solution (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-75999-7_187

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