Strongly interacting one-dimensional Bose-Einstein condensates inharmonic traps - art. no. 053601

We study the interaction effects on the condensates by considering a model of one-dimensional bosons. The harmonic external potential allows for the f ormation of a condensate in these systems. Using a density-functional theor y-type formalism we obtain an equation describing the condensate wave funct ion in the limit of very strong interactions between the bosons. We then co nsider a model of strongly interacting two-component system of bosons and s tudy its stability conditions. Similar to the weakly interacting case, the two-component system exhibits coexisting and segregated phases depending on system parameters.