非谐势阱中二维G-P方程的数值计算(英文)  

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

作　　者：孙长勇[1] 周玉欣[1] 夏庆峰[1] 赵建刚[1] 

机构地区：[1]聊城大学物理科学与信息工程学院,山东聊城252059

出　　处：《计算物理》2009年第4期617-623,共7页Chinese Journal of Computational Physics

基　　金：Supported bythe National Natural Science Foundationof China(Grant No.10574060);the Natural Science Foundationof Shandong Province(Grant No.Q2007A01)

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.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 Bose-Einstein condensation with atomic interaction is investigated. A comparison between harmonic and non-harmonic traps is reported.

关 键 词：玻色-爱因斯坦凝聚 G-P方程 非谐势阱 

分 类 号：O241[理学—计算数学]