Fast rotating Bose-Einstein condensates in an asymmetric trap

DOI10.1016/J.JFA.2009.01.002zbMath1180.82118arXiv0811.4714OpenAlexW2017105072MaRDI QIDQ2391260

Nicolas Lerner, Amandine Aftalion, Xavier Blanc

Publication date: 24 July 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4714

zbMATH Keywords

Bose-Einstein condensationGross-Pitaevskii equationvortex methodsenergy boundsAbrikosov latticeBargmann spacesmetaplectic transformationsSegal quantization

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Momentum maps; symplectic reduction (53D20) Vortex methods applied to problems in fluid mechanics (76M23) Theta functions and curves; Schottky problem (14H42) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (1)

The heat kernel of the \(\tau \)-twisted Laplacian

Cites Work

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• Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Some integral identities and inequalities for entire functions and their application to the coherent state transform
• Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
• Vortices in Bose-Einstein condensates

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