English

Limits of the Quantum Monte Carlo method

Statistical Mechanics 2007-05-23 v1 Strongly Correlated Electrons

Abstract

We consider the one-dimensional quantum-statistical problem of interacting spin-less particles in an infinite deep potential valley and on a ring. Several limits for the applicability of the Quantum Monte Carlo (QMC) methods were revealed and discussed. We show the inapplicability of the QMC method for ring-like geometries, realize an unphysical frustration for interacting fermions and a minus-sign problem for interacting bosons.

Keywords

Cite

@article{arxiv.cond-mat/9912383,
  title  = {Limits of the Quantum Monte Carlo method},
  author = {Z. Neda and Z. Dezso},
  journal= {arXiv preprint arXiv:cond-mat/9912383},
  year   = {2007}
}

Comments

RevTex, 17 pages, 7 figures

R2 v1 2026-07-22T12:17:42.934Z