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Dark solitary waves in 1D Bose-Einstein condensates

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: Ricardo Mayol Sánchez

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We study the dynamical properties of 1D solitary waves in confined Bose-Einstein condesates of ultracold gases with repulsive interparticle interactions. We perform numerical simulations of the Gross-Pitaevskii equation for harmonically trapped systems in the presence of dark and grey solitons, and we compare them with analytical solutions derived for homogeneous condensates. Our numerical results show a very good agreement with the theory in the limit of large trapped systems, which are available in current experiments

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Dark solitary waves in 1D Bose-Einstein condensates