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Limits of the Quantum Monte Carlo method

1999/12/21 by Zoltán Néda, Z. Neda, Neda, Z. +2
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/9912383

RevTex, 17 pages, 7 figures

arxiv created 1999/12/21 · openalex publication_date 1999/12/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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