Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions
arXiv:cond-mat/0005450 · doi:10.1103/PhysRevE.62.2937
Abstract
We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and repulsive interatomic interactions. Both time-dependent and time-independent GP equations are used to study the stationary problems. In addition the time-dependent approach is used to study some evolution problems of the condensate. Specifically, we study the evolution problem where the trap energy is suddenly changed in a stable preformed condensate. In this case the system oscillates with increasing amplitude and does not remain limited between two stable configurations. Good convergence is obtained in all cases studied.
9 latex pages, 7 postscript figures, To appear in Phys. Rev. E
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