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改进打靶法求解Gross-Pitaevskii方程及三个凝聚体的干涉
引用本文:花巍,刘学深.改进打靶法求解Gross-Pitaevskii方程及三个凝聚体的干涉[J].计算物理,2011,28(6):922-926.
作者姓名:花巍  刘学深
作者单位:吉林大学原子与分子物理研究所, 吉林 长春 130012
基金项目:国家自然科学基金(10974068)资助项目
摘    要:用改进的打靶法求解零温简谐势阱中中性原子玻色-爱因斯坦凝聚的一维Gross-Pitaevskii方程,给出不同非线性参数时凝聚体基态的本征值.用辛算法研究三个凝聚体在撤掉陷俘势后产生的干涉,和三个凝聚体处于同-陷俘势中的干涉及周期性演化,讨论不同的相对相位对凝聚体干涉的影响.

关 键 词:打靶法  Gross-Pitaevskii方程  干涉  
收稿时间:2010-12-03
修稿时间:2011-05-24

Improved Shooting Method for Gross-Pitaevskii Equation:Interference of Three Bose-Einstein Condensates
HUA Wei,LIU Xueshen.Improved Shooting Method for Gross-Pitaevskii Equation:Interference of Three Bose-Einstein Condensates[J].Chinese Journal of Computational Physics,2011,28(6):922-926.
Authors:HUA Wei  LIU Xueshen
Institution:Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China
Abstract:An improved shooting method is applied to 1D Gross-Pitaevskii equation,which describes Bose-Einstein condensate of neutral atoms in harmonic trapping potential at zero temperature.Eigenvalues of ground state of condensates with different nonlinear coefficient are given.Interference of three condensates after removing the trapping potential is studied with symplectic method.A periodic evolution is shown.Influence of relative phase on interference of condensates is discussed.
Keywords:shooting method  Gross-Pitaevskii equation  interference  
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