Simulations of Disordered Bosons on Hyper-Cubic Lattices

We address computational issues relevant to the study of disordered quantum mechanical systems at very low temperatures. As an example we consider the disordered Bose-Hubbard model in three dimensions directly at the Bose-glass to superfluid phase transition. The universal aspects of the critical behaviour are captured by a $(3+1)$ dimensional link-current model for which an efficient ‘worm’ algorithm is known. We present a calculation of the …