  We study a harmonically confined Bose-Bose mixture using quantum Monte Carlo
methods. Our results for the density profiles are systematically compared with
mean-field predictions derived through the Gross-Pitaevskii equation in the
same conditions. The phase space as a function of the interaction strengths and
the relation between masses is quite rich. The miscibility criterion for the
homogeneous system applies rather well to the system, with some discrepancies
close to the critical line for separation. We observe significant differences
between the mean-field results and the Monte Carlo ones, that magnify when the
asymmetry between masses increases. In the analyzed interaction regime, we
observe universality of our results which extend beyond the applicability
regime for the Gross-Pitaevskii equation.
