Title :
A Symplectic Scheme of Gross-Pitaevskii Equation
Author_Institution :
Math. & Phys. Div., Beijing Inst. of Graphic Commun., Beijing, China
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 :
Bose-Einstein condensation; vortices; Bose-Einstein Condensate; Gross-Pitaevskii Equation; rotating trap; symplectic difference schemes; vortices; Boundary conditions; Difference equations; Graphics; Integral equations; Mathematics; Nonlinear equations; Physics education; Steady-state; Surges; Ubiquitous computing; BEC; G-P equation; symplectic methods; vortices;
Conference_Titel :
Intelligent Ubiquitous Computing and Education, 2009 International Symposium on
Conference_Location :
Chengdu
Print_ISBN :
978-0-7695-3619-4
DOI :
10.1109/IUCE.2009.124
