Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices

DOI10.1016/j.cpc.2010.06.030zbMath1219.82021OpenAlexW1975656079MaRDI QIDQ548979

Biao Wu, Shing-Lin Chang, Cheng-Sheng Chien

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.06.030

zbMATH Keywords

bifurcationnumerical continuationBloch surfacesBloch bands

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items

A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose-Einstein condensates, A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates, Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation, A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices, Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices, A complete study of the ground state phase diagrams of spin-1 Bose-Einstein condensates in a magnetic field via continuation methods, Multi-parameter continuation and collocation methods for rotating multi-component Bose–Einstein condensates

Uses Software

• AUTO

Cites Work

• Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates
• Computing wave functions of nonlinear Schrödinger equations: a time-independent approach
• Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves
• Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms