Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates

被引:113
作者
Cerimele, MM
Chiofalo, ML
Pistella, F
Succi, S
Tosi, MP
机构
[1] Ist Applicaz Calcolo M Picone, I-00161 Rome, Italy
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[3] INFM, I-56126 Pisa, Italy
来源
PHYSICAL REVIEW E | 2000年 / 62卷 / 01期
关键词
D O I
10.1103/PhysRevE.62.1382
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present the application of a fast, explicit time-marching scheme for the solution of the Gross-Pitaevskii equation in cylindrical geometry. The scheme is validated on simple analytical tests and demonstrated for two situations of physical interest in experiments on the Bose-Einstein condensation (BEC) of trapped alkali-metal vapors. It is tested by reproducing known results on the free expansion of a BEC after removing a cylindrical trap, and it is then used to address the formation of matter-wave pulses that result from gravity-induced transport of a condensate in an optical potential.
引用
收藏
页码:1382 / 1389
页数:8
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