Ground state of the time-independent Gross-Pitaevskii equation

Claude M. Dion¹ and Eric Cancès²

¹Department of Physics, Umeå University, SE-901 87 Umeå, Sweden
²CERMICS, École Nationale des Ponts et Chaussées and INRIA, 6 & 8, avenue Blaise Pascal, cité Descartes, F-77455 Marne-la-Vallée Cedex 2, France

We present a suite of programs to determine the ground state of the time-independent Gross-Pitaevskii equation, used in the simulation of Bose-Einstein condensates. The calculation is based on the Optimal Damping Algorithm, ensuring a fast convergence to the true ground state. Versions are given for the one-, two-, and three-dimensional equation, using either a spectral method, well suited for harmonic trapping potentials, or a spatial grid.

Published in Computer Physics Communications 177, 787 (2007).

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