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Dimension reduction for rotating bose-Einstein condensates with anisotropic confinement

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posted on 22.03.2021, 20:59 by F Mehats, C Sparber
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.

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Publisher Statement

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems- Series A following peer review. The definitive publisher-authenticated version Dimension reduction for rotating bose-Einstein condensates with anisotropic confinement is available online at: https://doi.org/10.3934/dcds.2016021

Citation

Mehats, F.Sparber, C. (2016). Dimension reduction for rotating bose-Einstein condensates with anisotropic confinement. Discrete and Continuous Dynamical Systems- Series A, 36(9), 5097-5118. https://doi.org/10.3934/dcds.2016021

Publisher

American Institute of Mathematical Sciences (AIMS)

Language

en

issn

1078-0947