An Exact Monte Carlo Method for Continuum Fermion Systems
Condensed Matter
2009-10-31 v1
Abstract
We offer a new proposal for the Monte Carlo treatment of many-fermion systems in continuous space. It is based upon Diffusion Monte Carlo with significant modifications: correlated pairs of random walkers that carry opposite signs; different functions ``guide'' walkers of different signs; the Gaussians used for members of a pair are correlated; walkers can cancel so as to conserve their expected future contributions. We report results for free-fermion systems and a fermion fluid with 14 He atoms, where it proves stable and correct. Its computational complexity grows with particle number, but slowly enough to make interesting physics within reach of contemporary computers.
Cite
@article{arxiv.cond-mat/0001193,
title = {An Exact Monte Carlo Method for Continuum Fermion Systems},
author = {M. H. Kalos and Francesco Pederiva},
journal= {arXiv preprint arXiv:cond-mat/0001193},
year = {2009}
}
Comments
latex source, 3 separated figures (2 in jpg format, 1 in eps format)