2009/04/23 by Paulsamy Muruganandam, P. Muruganandam, Sadhan K. Adhikari +2 · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.quant-gas #nlin.PS #physics.comp-ph
paper · pdf · doi:10.1016/j.cpc.2009.04.015
published as Comput. Phys. Commun. 180 (2009) 1888-1912 · 34 pages, 11 figures, 18 Fortran programs included (to download the programs click other and download source), output files (not included) available in Comput. Phys. Commun. Library
openalex publication_date 2009/04/23 · crossref created 2009/04/23 · crossref issued 2009/10/01 · crossref published 2009/10/01 · crossref published-print 2009/10/01 · arxiv created 2011/01/05 · arxiv updated 2015/03/13 · crossref deposited 2018/12/20 · openalex created_date 2025/10/10 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/01
We develop simple numerical algorithms for both stationary and non-stationary solutions of the time-dependent Gross-Pitaevskii (GP) equation describing the properties of Bose-Einstein condensates at ultra low temperatures. In particular, we consider algorithms involving real and imaginary-time propagation based on a split-step Crank-Nicolson method. In a one-space-variable form of the GP equation we consider the one-dimensional linear, two-dimensional circularly symmetric, and the three-dimensional spherically-symmetric traps. In the two-space-variable form we consider the GP equation in two-dimensional anisotropic and three-dimensional axially-symmetric traps. The fully-anisotropic three-dimensional GP equation is also considered. Numerical results for the chemical potential and root-mean-square size of stationary states are reported using imaginary-time propagation programs for all the cases and compared with previously obtained results. Also presented are numerical results of non-stationary oscillation for different trap symmetries using real-time propagation programs. A set of convenient working codes developed in Fortran 77 are also provided for all these cases (twelve programs in all). In the case of two or three space variables, Fortran 90/95 versions provide some simplification over the Fortran 77 programs, and these programs are also included (six programs in all).