Abstract

AbstractWe present a review of quantum Monte Carlo algorithms for the simulation of quantum magnets. A general introduction to Monte Carlo sampling is followed by an overview of local updates, cluster updates, and generalized ensemble techniques such as multicanonical and Wang‐Landau sampling for classical magnets. For quantum systems we present two complementary approaches: world‐line methods in (i) a path‐integral and (ii) a stochastic series expansion (SSE) representation, which are best suited for pure spin Hamiltonians. Determinental quantum Monte Carlo algorithms are the methods of choice for the simulation of fermionic Hamiltonians, such as the Hubbard model. An overview of the methods is followed by a selection of typical applications.

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