四川大学学报（自然科学版）2024，Vol.61Issue(1)：9-14,6.DOI:10.19907/j.0490-6756.2024.011002
数值求解耦合Gross-Pitaevskii方程组基态解的离散归一化梯度流方法
Numerical method for the ground state solution of coupled Gross-Pitaevskii equations
摘要
Abstract
In this paper,a numerical method for solving the ground state solution of the coupled Gross-Pitaevskii equations with constant magnetic field term is proposed.Based on the single mode approxima-tion theory,energy function of the equations is equivalently expressed by a reduced energy function with single component.Then,based on the method of discrete normalized gradient flow,the method is pro-posed by using the expression of reduced energy function.Numerical examples illustrate the reliability and performance of the method.关键词
耦合Gross-Pitaevskii方程组/基态解/单组分近似/归一化梯度流Key words
Coupled Gross-Pitaevskii equations/Ground state solution/Single mode approximation/Normalized gradient flow分类
数理科学引用本文复制引用
赵子尧,马强..数值求解耦合Gross-Pitaevskii方程组基态解的离散归一化梯度流方法[J].四川大学学报（自然科学版）,2024,61(1):9-14,6.基金项目
国家自然科学基金(11801387) （11801387）
四川省自然科学基金(2022NSFSC0322) （2022NSFSC0322）
