Ultracold Bose Gases in 1D Random Potentials: From Lifshits Glasses to Bose-Einstein Condensates
Résumé
We study an ultracold Bose gas in the presence of 1D disorder for repulsive inter-atomic interactions, ranging from zero to the Thomas-Fermi regime. We show that for very small interactions, the Bose gas populates a finite number of localized single particle Lifshits states, while for large interactions, it forms a delocalized disordered Bose-Einstein condensate. We discuss the phase diagram and compute the equations of state in various phases.