Limits of the Quantum Monte Carlo method

Details Limits of the Quantum Monte Carlo method Limits of the Quantum Monte Carlo method

1999-12-21

arxiv.org/abs/cond-mat/9912383v1

Physics

Condensed Matter

Statistical Mechanics

RevTex, 17 pages, 7 figures

Scientific paper

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.

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