Simulations of Disordered Bosons on Hyper-Cubic Lattices

Details Simulations of Disordered Bosons on Hyper-Cubic Lattices Simulations of Disordered Bosons on Hyper-Cubic Lattices

2006-01-10

arxiv.org/abs/cond-mat/0601180v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures, submitted to HPCS06 conference proceeding

Scientific paper

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 distribution of the superfluid stiffness over the disorder realizations, outline a number of important considerations for performing such estimates, and suggest a modification of the link-current Hamiltonian that improves the numerical efficiency of the averaging procedure without changing the universal properties of the model.

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