Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
arxiv(2024)
摘要
We consider the Gross-Pitaevskii equation with a confining ring potential
with a Gaussian profile. By introducing a rotating sinusoidal perturbation, we
numerically highlight the nucleation of quantum vortices in a particular regime
throughout the dynamics. Numerical computations are made via a Strang splitting
time integration and a two-point flux approximation Finite Volume scheme based
on a particular admissible triangulation. We also develop numerical algorithms
for vortex tracking adapted to our finite volume framework.
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