Non-local updates for quantum Monte Carlo simulations

Details Non-local updates for quantum Monte Carlo simulations Non-local updates for quantum Monte Carlo simulations

2003-06-16

arxiv.org/abs/physics/0306128v1

AIP Conf. Proc. 690, 156 (2003)

Physics

Computational Physics

14 pages, article for the proceedings of the "The Monte Carlo Method in the Physical Sciences: Celebrating the 50th Anniversar

Scientific paper

10.1063/1.1632126

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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