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Dimension reduction for anisotropic Bose–Einstein condensates in the strong interaction regime
2015
Nonlinearity
We study the problem of dimension reduction for the three dimensional Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate confined in a strongly anisotropic harmonic trap. Since the gas is assumed to be in a strong interaction regime, we have to analyze two combined singular limits: a semi-classical limit in the transport direction and the strong partial confinement limit in the transversal direction. We prove that both limits commute together and we provide convergence rates.
doi:10.1088/0951-7715/28/3/755
fatcat:4tnlsqrebbhotmvqmfadnl5qrq