Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
Numerical Analysis
2024-04-17 v1 Quantum Gases
Numerical Analysis
Computational Physics
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.
Keywords
Cite
@article{arxiv.2404.10360,
title = {Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation},
author = {Quentin Chauleur and Radu Chicireanu and Guillaume Dujardin and Jean-Claude Garreau and Adam Rançon},
journal= {arXiv preprint arXiv:2404.10360},
year = {2024}
}