Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime

DOI10.3934/krm.2017022zbMath1362.35278arXiv1501.02177OpenAlexW2963828034MaRDI QIDQ502995

Weizhu Bao, Florian Méhats, Loïc Le Treust

Publication date: 11 January 2017

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02177

zbMATH Keywords

semiclassical approximationlong-range interactionsaveragingGross-Pitaevskii equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

On the Stability of 2D Dipolar Bose--Einstein Condensates ⋮ On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions ⋮ Blow-up for trapped dipolar quantum gases with large energy ⋮ A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates

Cites Work

• Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential
• Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity
• Mathematical theory and numerical methods for Bose-Einstein condensation
• Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
• Gross–Pitaevskii–Poisson Equations for Dipolar Bose–Einstein Condensate with Anisotropic Confinement
• On the Gross–Pitaevskii equation for trapped dipolar quantum gases
• Dimension reduction for anisotropic Bose–Einstein condensates in the strong interaction regime
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