First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures

We address the possibility of realizing Bose-Einstein condensation as a first -order phase transition by admixture of particles of different species. To this aim we perform a comprehensive analysis of phase diagrams of two -component mixtures of bosons at finite temperatures. As a prototype model, we analyze a binary mixture of Bose particles interacting via an infinite -range (Kac-scaled) two -body potential. We obtain a rich phase diagram, where the transition between the normal and Bose -Einstein -condensed phases may be either continuous or first order. The phase diagram hosts lines of triple points, tricritical points, and quadruple points. We address the structure of the phase diagram depending on the relative magnitudes of the inter- and intraspecies interaction couplings. In addition, even for purely repulsive interactions, we identify a first -order liquid -gas -type transition between noncondensed phases characterized by different particle concentrations. In the obtained phase diagram, a surface of such first -order transitions terminates with a line of critical points.