Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
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arXiv
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| Format: | Preprint |
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2024
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| author | Chauleur, Quentin Chicireanu, Radu Dujardin, Guillaume Garreau, Jean-Claude Rançon, Adam |
| author_facet | Chauleur, Quentin Chicireanu, Radu Dujardin, Guillaume Garreau, Jean-Claude Rançon, Adam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10360 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation Chauleur, Quentin Chicireanu, Radu Dujardin, Guillaume Garreau, Jean-Claude Rançon, Adam Numerical Analysis Quantum Gases Computational Physics 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. |
| title | Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation |
| topic | Numerical Analysis Quantum Gases Computational Physics |
| url | https://arxiv.org/abs/2404.10360 |