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Non-local updates for quantum Monte Carlo simulations

M. Troyer·F. Alet·S. Trebst·S. Wessel
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Abstract

We review the development of update schemes for quantum lattice models simulated using world line quantum Monte Carlo algorithms. Starting from the Suzuki-Trotter mapping we discuss limitations of local update algorithms and highlight the main developments beyond Metropolis-style local updates: the development of cluster algorithms, their generalization to continuous time, the worm and directed-loop algorithms and finally a generalization of the flat histogram method of Wang and Landau to quantum systems.

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M. Troyer, F. Alet, S. Trebst, S. Wessel. 2003-06-16. Non-local updates for quantum Monte Carlo simulations. https://doi.org/10.1063/1.1632126

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