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math.NA2024

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

Quentin Chauleur, Radu Chicireanu, Guillaume Dujardin +2

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 n…