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
赵子尧 1马强1
作者信息
摘要
本文提出了一种求解磁场项为常数的耦合Gross-Pitaevskii方程组基态解的数值方法.基于单组分近似理论,本文将方程组的能量函数等价为单组分的能量泛函,然后基于降阶后的能量表达式提出了离散归一化梯度流数值方法.数值算例表明,该方法高效且可靠.
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引用本文复制引用
基金项目
国家自然科学基金(11801387)
四川省自然科学基金(2022NSFSC0322)
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据