非谐势阱中二维G-P方程的数值计算

计算物理 ›› 2009, Vol. 26 ›› Issue (4): 617-623.

非谐势阱中二维G-P方程的数值计算

孙长勇, 周玉欣, 夏庆峰, 赵建刚

聊城大学物理科学与信息工程学院, 山东聊城 252059

收稿日期:2008-01-21 修回日期:2008-06-18 出版日期:2009-07-25 发布日期:2009-07-25
作者简介:孙长勇(1957-),male,Master of physics,Prof,major in condensed matter physics.
基金资助:
Supported bythe National Natural Science Foundationof China(Grant No.10574060);the Natural Science Foundationof Shandong Province(Grant No.Q2007A01)

Numerical Solution of Two-dimensional Gross-Pitaevskii Equation for Bose-Einstein Condensation in a Non-harmonic Trap

SUN Changyong, ZHOU Yuxin, XIA Qingfeng, ZHAO Jiangang

School of Physics & Information Engineering, Liaocheng University, Liaocheng 252059, China

Received:2008-01-21 Revised:2008-06-18 Online:2009-07-25 Published:2009-07-25
Supported by:
Supported bythe National Natural Science Foundationof China(Grant No.10574060);the Natural Science Foundationof Shandong Province(Grant No.Q2007A01)

摘要/Abstract

摘要： 通过能量泛函的方法得到描述囚禁在非谐势阱中玻色-爱因斯坦凝聚体的二维G-P方程数值解,讨论原子间相互作用和非谐振势能项对玻色-爱因斯坦凝聚体的分布、能量和化学势的影响.

关键词: 玻色-爱因斯坦凝聚, G-P方程, 非谐势阱

Abstract: A two-dimensional Gross-Pitaevskii equation describing Bose-Einstein condensation in an axial symmetry nonharmonic trap is solved.Converged wave functions,chemical potentials,and internal energies in Bose-Einstein condensation are obtained.Ground-state of Bese-Einstein condensation with atomic interaction is investigated.A comparison between harmonic and non-harmonic traps is reported.

Key words: Bose-Einstein condensation, Gross-Pitaevskii equation, non-harmonic trap

中图分类号:

O241

孙长勇, 周玉欣, 夏庆峰, 赵建刚. 非谐势阱中二维G-P方程的数值计算[J]. 计算物理, 2009, 26(4): 617-623.

SUN Changyong, ZHOU Yuxin, XIA Qingfeng, ZHAO Jiangang. Numerical Solution of Two-dimensional Gross-Pitaevskii Equation for Bose-Einstein Condensation in a Non-harmonic Trap[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(4): 617-623.

[1]	席忠红, 赵永珍. 环形运动势搅拌下偶极BEC中的非线性动力学[J]. 计算物理, 2022, 39(6): 744-750.
[2]	车立新, 罗香怡, 苏明辉. 一维含时Gross-Pitaevskii方程下三个玻色-爱因斯坦凝聚体间的干涉[J]. 计算物理, 2011, 28(3): 463-468.
[3]	吴大鹏, 门福殿, 刘慧. 用F-G-H方法研究玻色-爱因斯坦凝聚体基态性质[J]. 计算物理, 2009, 26(6): 942-948.
[4]	郑金成, 严子浚, 林仲金, 陈丽璇. 谐振势阱中有弱相互作用的玻色爱因斯坦凝聚[J]. 计算物理, 1997, 14(S1): 690-692.