Explicit symplectic schemes for investigating the evolution of vortices in a rotating Bose-Einstein Condensate

被引：11

作者：

Tian, YM ^{[1
]}

Qin, MZ ^{[1
]}

机构：

[1] Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2003年 / 155卷 / 02期

关键词：

explicit; symplectic; Bose-Einstein condensate; Gross-Pitaevskii equation; vortices;

D O I：

10.1016/S0010-4655(03)00352-7

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The aim of this paper is to investigate vortex solutions of the Gross-Pitaevskii equation and their evolution in real time. We construct a kind of explicit symplectic leap-frog scheme. They are of arbitrary order both in time and space. First, we look for steady state solution of the imaginary time G-P equation. Then for the Bose-Einstein Condensate placed in a rotating trap and confined in the z-axis, we numerically study the cases of vortices's birth and how they evolve in real time starting with the solution in imaginary time as initial value. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：132 / 143

页数：12

共 10 条

[1]

AMANDINE QD, 2001, SRXIVCOND0MAT0103299, V1, P1

[2] Theory of Bose-Einstein condensation in trapped gases [J].