Gross-Pitaevskii方程的数值解及其动力学研究

计算物理 ›› 2006, Vol. 23 ›› Issue (4): 483-488.

Gross-Pitaevskii方程的数值解及其动力学研究

花巍^1,2, 刘学深², 丁培柱²

1. 辽宁工程技术大学理学院, 辽宁阜新 123000;
2. 吉林大学原子与分子物理研究所, 吉林长春 130012

收稿日期:2005-03-30 修回日期:2005-11-24 出版日期:2006-07-25 发布日期:2006-07-25
作者简介:花巍(1979-),female,Liaoning,master,symplectic algorithm in atomic molecular physics.
基金资助:
Supported by The National Natural Science Foundation of China(10574057,10571074),Specialized Research Fund for the Doctoral Programof Higher Education(20050183010)and Research Fundfor Young Teachers(70Ey18)

Dynamic Study for Numerical Solutions ofthe Gross-Pitaevskii Equation

HUA Wei^1,2, LIU Xue-shen², DING Pei-zhu²

1. Department of Science, Liaoning Technical University, Fuxin 123000, China;
2. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

Received:2005-03-30 Revised:2005-11-24 Online:2006-07-25 Published:2006-07-25
Supported by:
Supported by The National Natural Science Foundation of China(10574057,10571074),Specialized Research Fund for the Doctoral Programof Higher Education(20050183010)and Research Fundfor Young Teachers(70Ey18)

摘要/Abstract

摘要： 采用辛-打靶法求解了简谐势阱中碱金属玻色-爱因斯坦凝聚原子在T=0时的基态波函数,检验了波函数的稳定性,并研究了当简谐势阱突然改变时波函数随时间演化的动力学.

关键词: Gross-Pitaevskii方程, 基态解, 动力学研究

Abstract: The ground state wavefunctions of dilute Bose-condensed atoms in a harmonic trap at T=0 are evaluated by a symplectic shooting method.Stability of the wavefunctions is tested,and a stable wavefunction is used as the initial input of the time-dependent Gross-Pitaevskii equation. The dynamic property of stable wavefunctions is numerically examined in two phase spaces when the harmonic potential is altered suddenly.The figures in the two phase spaces are regular even after a long time of interations.For negative nonlinear coefficients,two eigenvalues related to the same negative nonlinear coefficient are calculated,and the stability of the corresponding two wavefunctions is tested.

Key words: Gross-Pitaevskii equation, ground state solution, dynamic study

中图分类号:

O241

花巍, 刘学深, 丁培柱. Gross-Pitaevskii方程的数值解及其动力学研究[J]. 计算物理, 2006, 23(4): 483-488.

HUA Wei, LIU Xue-shen, DING Pei-zhu. Dynamic Study for Numerical Solutions ofthe Gross-Pitaevskii Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(4): 483-488.

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