Work

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

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2404.10360

Authors: Chauleur, Quentin, Chicireanu, Radu, Dujardin, Guillaume, Garreau, Jean-Claude, Rançon, Adam

Institutions: Institut national de recherche en sciences et technologies du numérique, Laboratoire de Physique des Lasers, Atomes et Molécules, PARADYSE: Systèmes de particules et systèmes dynamiques, Université de Lille, Laboratoire Paul Painlevé

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: G3257718068, Centre Européen pour les Mathématiques, la Physique et leurs Interactions

OpenAlex ID: W4394862336

Cites: 2

Cited by: 1

Related to: 10