Riemannian optimization methods for ground states of multicomponent Bose-Einstein condensates

Abstract: Ground states of multicomponent Bose-Einstein condensates can be described as minimizers of the Gross-Pitaevskii energy functional on an infinite-dimensional manifold. For the computation of these minimizers, we investigate a family of Riemannian optimization methods with respect to different metrics. This allows a unified treatment of several algorithms under a common framework and enables us to prove global and local convergence guarantees for important cases. Finally, we also discuss extensions to rotating condensates, where uniqueness can no longer be guaranteed.

numerical analysisoptimization and control

Audience: researchers in the topic

CAM seminar

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