## Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations

- Xavier Antoine, Christophe Besse, Romain Duboscq, Vittorio Rispoli
- Computer Physics Communications
- 2017

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@article{Chiofalo2000GroundSO, title={Ground state of trapped interacting bose-einstein condensates by an explicit imaginary-time algorithm}, author={Chiofalo and Succi and To{\vs}i}, journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics}, year={2000}, volume={62 5 Pt B}, pages={7438-44} }

- Published 2000 in Physical review. E, Statistical physics, plasmas…

We show that an explicit time-marching method previously developed for the numerical study of the dynamics of Bose-Einstein condensates can be profitably adapted to the numerical determination of their ground state. After reduction to a one-dimensional model, we first reproduce and test known results on condensates in harmonic traps and then determine the ground state of a condensate in a harmonically bound optical lattice in the range of parameters which are relevant to existing experiments.

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