Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement - Archive ouverte HAL Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series A Year : 2016

Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement

Abstract

We consider the three-dimensional time-dependent Gross-Pitaevskii equation arising in the description of rotating Bose-Einstein condensates and study the corresponding scaling limit of strongly anisotropic confinement potentials. The resulting effective equations in one or two spatial dimensions, respectively, are rigorously obtained as special cases of an averaged three dimensional limit model. In the particular case where the rotation axis is not parallel to the strongly confining direction the resulting limiting model(s) include a negative, and thus, purely repulsive quadratic potential, which is not present in the original equation and which can be seen as an effective centrifugal force counteracting the confinement.

Dates and versions

hal-01178431 , version 1 (20-07-2015)

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Florian Méhats, Christof Sparber. Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement. Discrete and Continuous Dynamical Systems - Series A, 2016, 36 (9), pp.5097-5118. ⟨10.3934/dcds.2016021⟩. ⟨hal-01178431⟩
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