摘要
该文设计带拉格朗日乘子的正规梯度流法(GFLM)模拟自旋轨道耦合Spin-2玻色-爱因斯坦凝聚(BEC)的基态.发掘投影系数间的隐含关系,解决了模型中已有条件(总质量及总磁场量守恒)不足以确定所有投影系数的困难.对循环型/铁磁体系下具有不同势函数的自旋轨道耦合Spin-2 BEC的基态进行了大量数值试验,验证了算法的有效性,并揭示了自旋轨道耦合Spin-2 BEC的条纹状基态与晶格状基态随自旋轨道耦合系数相互转化的相变规律.
In this paper,a normalized gradient flow with Lagrange multipliers is designed to compute ground states of spin-orbit coupled Spin-2 Bose-Einstein condensates.By excavating the implicit relation between projection coefficients,the difficult that the existed conditions(the conservation of total mass and magnetization)of the model problem is insufficient to determine all the projection coefficients,is overcome.Extensive numerical experiments are done to compute the ground states of spin-orbit coupled Spin-2 BECs with cyclic/ferromagenetic interactions.As a result,the effectiveness of the two algorithms is verified,and the phase transformation law about how the stripe pattern ground states and the square-lattice pattern ground states of spin-orbit coupled Spin-2 BECs change to each other with the spin-orbit coupling parameter,are revealed.
作者
袁永军
Yuan Yongjun(LCSM(MOE)&School of Mathematics and Statistics,Hunan Normal University,Changsha 410081)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2023年第5期1607-1619,共13页
Acta Mathematica Scientia
基金
国家自然科学基金(11971007)。
