Marco Guglielmino - Politecnico di Torino # Ising antiferromagnet with ultracold bosonic mixtures confined in a harmonic trap # We present accurate results based on Quantum Monte Carlo simulations of two-component bosonic systems on a square lattice and in the presence of an external harmonic confinement. Starting from hopping parameters and interaction strenght which stabilize the Ising antiferromagnetic phase in the homogeneous case and at half filing factor, we study how the presence of the harmonic confinement challenge the ralization of such phase. We consider realistic trapping frequencies and number of particle, and establish under which conditions, i.e. total number of particles and unbalance between the two component, the antiferromagnetic phase can be observed in the trap.