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• W2045942010 abstract "We study the fast rotation limit for a Bose-Einstein condensate in a quadratic plus quartic confining potential within the framework of the two dimensional Gross-Pitaevskii energy functional. As the rotation speed tends to infinity with a proper scaling of the other parameters in the model, a linear limit problem appears for which we are able to derive precise energy estimates. We prove that the energy and density asymptotics of the problem can be obtained by minimizing a simplified one dimensional energy functional. In the case of a fixed coupling constant we also prove that a giant vortex state appears. It is an annulus with pure irrotational flow encircling a central low-density hole around which there is a macroscopic phase circulation." @default.
• W2045942010 created "2016-06-24" @default.
• W2045942010 creator A5023783195 @default.
• W2045942010 date "2008-09-10" @default.
• W2045942010 modified "2023-10-14" @default.
• W2045942010 title "The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap : extreme rotation regimes" @default.
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• W2045942010 hasPublicationYear "2008" @default.
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