Numerical method for the ground state solution of coupled Gross-Pitaevskii equations
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.
Coupled Gross-Pitaevskii equationsGround state solutionSingle mode approximationNormalized gradient flow
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