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Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems

Kenji Harada·Naoki Kawashima
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Abstract

Recently, Syljuasen and Sandvik proposed a new framework for constructing algorithms of quantum Monte Carlo simulation. While it includes new classes of powerful algorithms, it is not straightforward to find an efficient algorithm for a given model. Based on their framework, we propose an algorithm that is a natural extension of the conventional loop algorithm with the split-spin representation. A complete table of the vertex density and the worm-scattering probability is presented for the general XXZ model of an arbitrary S with a uniform magnetic field.

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Kenji Harada, Naoki Kawashima. 2002-12-27. Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems. https://doi.org/10.1103/physreve.66.056705

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