Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604876 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2008 | 17 Pages |
Abstract
We prove that in the fast rotating regime, the three-dimensional Gross–Pitaevskii energy describing the state of a Bose Einstein condensate can be reduced to a two-dimensional problem and that the vortex lines are almost straight. Additionally, we prove that the minimum of this two-dimensional problem can be sought in a reduced space corresponding to the first eigenspace of an elliptic operator. This space is called the Lowest Landau level and is of infinite dimension
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