Computing Ground States of Spin-1 Bose–Einstein Condensates by the Normalized Gradient Flow

DOI10.1137/070698488zbMath1173.81028arXiv0711.0568OpenAlexW2963810354MaRDI QIDQ5320692

Fong Yin Lim, Weizhu Bao

Publication date: 22 July 2009

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0568

zbMATH Keywords

ground statecoupled Gross-Pitaevskii equationsspin-1 Bose-Einstein condensatenormalized gradient flowbackward-forward Euler sine-pseudospectral method

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Computational methods for problems pertaining to quantum theory (81-08) Many-body theory; quantum Hall effect (81V70) Applications to the sciences (65Z05) Numerical methods in Fourier analysis (65T99)

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