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Ground state of trapped interacting Bose-Einstein condensates by an explicit imaginary-time algorithm

Maria Luisa ChiofaloIstituto Nazionale di Fisica della Materia and Classe di Scienze, Scuola Normale Superiore, I-56126 Pisa, ItalySauro SucciIstituto Applicazioni Calcolo “M. Picone,” Via del Policlinico 137, I-00161 Roma, ItalyM. P. TosiIstituto Nazionale di Fisica della Materia and Classe di Scienze, Scuola Normale Superiore, I-56126 Pisa, Italy
2000en
ABI

Аннотация

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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