Hartree-Fock treatment of the two-component Bose-Einstein condensate

We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in two and three dimensions. We find a symmetry breaking in the two-dimensional case where the two condensates separate. We also present a phase diagram in the three-dimensional case of the different regions where the binary condensate becomes a single condensate and eventually an ordinary gas as a function of temperature and the interaction strength between the atoms.