Boson localization on the superfluid-insulator transition by quantum MonteCarlo simulation

For some systems in critical phenomena, Monte Carlo (MC) simulations using conventional algorithm are inefficient, because of long correlation between successive MC configurations. Our system in Eq. (1) suffers this difficult y in critical region between superfluid phase and glass insulator phase. Th e loop algorithm overcomes this difficulty. We try to apply this algorithm to the soft core boson system, and carry out calculations with random boson Hubbard model.