Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions

Details Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions Numerical study of the spherically-symmetric Gross-Pitaevskii equation in two space dimensions

2000-05-25

arxiv.org/abs/cond-mat/0005450v1

Phys. Rev. E 62 (2000) 2937-2944

Physics

Condensed Matter

Soft Condensed Matter

9 latex pages, 7 postscript figures, To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.62.2937

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.

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