Limits of the Quantum Monte Carlo method

Z. Neda; Z. Dezso

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Limits of the Quantum Monte Carlo method

Z. Neda·Z. Dezso

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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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Z. Neda, Z. Dezso. 1999-12-21. Limits of the Quantum Monte Carlo method. https://arxiv.org/abs/cond-mat/9912383

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