# Thomas–Fermi profile of a fast rotating Bose–Einstein condensate

@article{Nguyen2022ThomasFermiPO, title={Thomas–Fermi profile of a fast rotating Bose–Einstein condensate}, author={Dinh-Thi Nguyen and Nicolas Rougerie}, journal={Pure and Applied Analysis}, year={2022} }

Abstract. We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose–Einstein condensate. We derive an effective Thomas–Fermi-like model in the rapidly rotating limit where the centrifugal force compensates the confinement, and available states are restricted to the lowest Landau level. The coupling constant of the effective Thomas–Fermi functional is to linked the emergence of vortex lattices (the Abrikosov…

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