Title :
A Multisymplectic Scheme for 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 multisymplectic difference scheme was constructed to investigate the evolution of vortices 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; numerical analysis; Bose-Einstein Condensate; Gross-Pitaevskii equation; multisymplectic difference scheme; numerical analysis; steady state solution; Boundary conditions; Difference equations; Graphics; Mathematics; Nonlinear equations; Physics education; Predictive models; Steady-state; Ubiquitous computing; Wave functions; Bose-Einstein Condesate; multisymplectic methods; two dimensional G-P equation; 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.2009.123
