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Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation (2404.10360v1)

Published 16 Apr 2024 in math.NA, cond-mat.quant-gas, cs.NA, and physics.comp-ph

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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