Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2024

Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation

Abstract

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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Dates and versions

hal-04545713 , version 1 (15-04-2024)

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  • HAL Id : hal-04545713 , version 1

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Quentin Chauleur, Radu Chicireanu, Guillaume Dujardin, Jean-Claude Garreau, Adam Rançon. Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation. 2024. ⟨hal-04545713⟩
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