Proof for an upper bound in fixed-node Monte Carlo for lattice fermions
Condensed Matter
2009-10-22 v1
Abstract
We justify a recently proposed prescription for performing Green Function Monte Carlo calculations on systems of lattice fermions, by which one is able to avoid the sign problem. We generalize the prescription such that it can also be used for problems with hopping terms of different signs. We prove that the effective Hamiltonian, used in this method, leads to an upper bound for the ground-state energy of the real Hamiltonian, and we illustrate the effectiveness of the method on small systems.
Keywords
Cite
@article{arxiv.cond-mat/9412037,
title = {Proof for an upper bound in fixed-node Monte Carlo for lattice fermions},
author = {D. F. B. ten Haaf and H. J. M. van Bemmel and J. M. J. van Leeuwen and W. van Saarloos and D. M. Ceperley},
journal= {arXiv preprint arXiv:cond-mat/9412037},
year = {2009}
}
Comments
14 pages in revtex v3.0, no figures