OpenMP Fortran programs for solving the time-dependent dipolar Gross-Pitaevskii equation

Published: 24 February 2023| Version 1 | DOI: 10.17632/sp3wvbtnmh.1


In this paper we present Open Multi-Processing (OpenMP) Fortran 90/95 versions of previously published numerical programs for solving the dipolar Gross-Pitaevskii (GP) equation including the contact interaction in one, two and three spatial dimensions. The atoms are considered to be polarized along the z axis and we consider different cases, e.g., stationary and non-stationary solutions of the GP equation for a dipolar Bose-Einstein condensate (BEC) in one dimension (along x and z axes), two dimensions (in x-y and x-z planes), and three dimensions. The algorithm used is the split-step semi-implicit Crank-Nicolson scheme for imaginary- and real-time propagation to obtain stationary states and BEC dynamics, respectively, as in the previous version (Kishor Kumar et al., 2015 [3]). These OpenMP versions have significantly reduced execution time in multicore processors. The previous version of this program (AEWL_v1_0) may be found at



Condensed Matter Physics, Computational Physics, Partial Differential Equation, Bose-Einstein Condensate