Fabio Lingua — Politecnico di Torino # Demixing and Temperature effects in mixtures of two Bosonic species # We investigate the properties of phase separation in a mixture of two bosonic species by means of path-integral quantum Monte Carlo by the two-worm algorithm. The mixture is trapped in a square optical lattice at different filling and temperature conditions. The work is focused on the study of the ground-state phase diagram where various quantum phases can arise depending on the interplay between intra-and inter-species interactions. Demixed phases, characterized by spatial separation of the two species, are studied in details determining under which conditions they can be stabilized. The influence of temperature, filling factor and harmonic trap on phase separation is also investigated. An interesting dependence of the degree of demixing from temperature has been found, suggesting new ways to measure the temperature of a two-component bosonic mixture.