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arXiv physics/0306128physics.comp-phcond-mat.stat-mechhep-lat
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量子蒙特卡罗模拟的非定域更新

Non-local updates for quantum Monte Carlo simulations

M. Troyer, F. Alet, S. Trebst, S. Wessel

摘要:

我们回顾了世界线量子蒙特卡罗算法模拟的量子晶格模型的更新方案的发展。从Suzuki-Trotter映射开始,我们讨论了局部更新算法的局限性,并突出了Metropolis式局部更新之外的主要发展:聚类算法的发展,它们对连续时间的推广,蠕虫和定向循环算法,最后是Wang和Landau的平坦直方图方法对量子系统的推广。

英文摘要:

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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