Location and phase segregation of ground and excited states for 2D Gross-Pitaevskii systems

DOI10.4310/DPDE.2008.v5.n2.a2zbMath1158.35322arXiv0806.0961MaRDI QIDQ948837

Marco Squassina, Marco Caliari

Publication date: 15 October 2008

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0961

zbMATH Keywords

Thomas-Fermi approximationBose-Einstein binary condensatesharmonic and off-centered trapping potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Strong interaction, including quantum chromodynamics (81V05) NLS equations (nonlinear Schrödinger equations) (35Q55) Atomic physics (81V45)

Related Items (11)

Boundary value problems for a coupled system of second-order nonlinear difference equations ⋮ Provable bounds for the Korteweg–de Vries reduction in multi-component nonlinear Schrödinger equation ⋮ Convergence of minimax structures and continuation of critical points for singularly perturbed systems ⋮ GSGPEs: a MATLAB code for computing the ground state of systems of Gross-Pitaevskii equations ⋮ Uniform Hölder bounds for strongly competing systems involving the square root of the Laplacian ⋮ Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates ⋮ Blow-up solutions for two coupled Gross-Pitaevskii equations with attractive interactions ⋮ On a class of coupled Schrödinger systems with critical Sobolev exponent growth ⋮ A minimisation approach for computing the ground state of Gross-Pitaevskii systems ⋮ On phase segregation in nonlocal two-particle Hartree systems ⋮ Ground state solutions of the periodic discrete coupled nonlinear Schrödinger equations

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