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 Global space-time update

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The Stochastic Green Function (SGF) algorithm is able to simulate any Hamiltonian that does not suffer from the so-called -sign problem-. We propose a new global space-time update scheme for the SGF algorithm which, in addition to being simpler than the previous formulation, reduces auto-correlation times. Using as a concrete example the extended Bose-Hubbard model and the complex Hamiltonian with six-site ring-exchange interactions which was recently studied in ArXiv:1206.2566v1, we present a comprehensive review of the SGF algorithm and the new updating scheme. Measurements of non-trivial physical quantities are presented in detail. While the SGF algorithm works in the canonical ensemble by nature, we give a simple extension that allows us to perform simulations in the grand-canonical ensemble too. We also discuss an optimized implementation which allows for access to large system sizes.

Autor: V. G. Rousseau; D. Galanakis


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