Gross–Pitaevskii–Poisson Equations for Dipolar Bose–Einstein Condensate with Anisotropic Confinement

DOI10.1137/110850451zbMath1246.35187arXiv1212.4945OpenAlexW2083268850MaRDI QIDQ2902737

Weizhu Bao, Naoufel Ben Abdallah, Yong-Yong Cai

Publication date: 22 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4945

zbMATH Keywords

dimension reduction ground state dipolar Bose-Einstein condensate Gross-Pitaevskii-Poisson system

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Related Items (17)

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator ⋮ Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement ⋮ Efficient and Accurate Computation of the Bogoliubov-De Gennes Excitations for the Quasi-2D Dipolar Bose-Einstein Condensates ⋮ Cross-invariant manifolds for the Gross-Pitaevskii-Poisson equation ⋮ Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates ⋮ A combined discontinuous Galerkin method for the dipolar Bose-Einstein condensation ⋮ Efficient continuation methods for computing ground states of quasi-2D rotating dipolar Bose-Einstein condensates ⋮ Dynamical behaviors of blowup solutions in trapped quantum gases: concentration phenomenon ⋮ Sufficient conditions of collapse for dipolar Bose‐Einstein condensate ⋮ Derivation of the Dipolar Gross--Pitaevskii Energy ⋮ On the Stability of 2D Dipolar Bose--Einstein Condensates ⋮ A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates ⋮ Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime ⋮ Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates ⋮ A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation ⋮ Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT ⋮ On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions

This page was built for publication: Gross–Pitaevskii–Poisson Equations for Dipolar Bose–Einstein Condensate with Anisotropic Confinement