Dynamical laws of the coupled Gross-Pitaevskii equations for spin-1 Bose-Einstein condensates

DOI10.4310/MAA.2010.v17.n1.a2zbMath1206.35225OpenAlexW1965524538MaRDI QIDQ617819

Yanzhi Zhang, Weizhu Bao

Publication date: 13 January 2011

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1291644608

zbMATH Keywords

coupled Gross-Pitaevskii equationsangular momentum rotationangular momentum expectationcondensate widthrotating spin-1 Bose-Einstein condensate

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) Applications to the sciences (65Z05) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (8)

Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Efficient numerical methods for computing ground states of spin-1 Bose-Einstein condensates based on their characterizations ⋮ Kármán vortex street in spin-1 Bose-Einstein condensate ⋮ An efficient and conservative compact finite difference scheme for the coupled Gross-Pitaevskii equations describing spin-1 Bose-Einstein condensate ⋮ A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods ⋮ Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates ⋮ Efficient continuation methods for spin-1 Bose–Einstein condensates in a magnetic field ⋮ Unified way for computing dynamics of Bose–Einstein condensates and degenerate Fermi gases

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