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Mathematics > Numerical Analysis
Title: Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
(Submitted on 16 Apr 2024)
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.
Submission history
From: Quentin Chauleur [view email][v1] Tue, 16 Apr 2024 07:50:28 GMT (6151kb,D)
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