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摘要翻译：
在宽直方图Monte Carlo模拟中，通过优化模拟的扩展系综以获得最快的平衡，可以大大提高统计采样的效率。本文描述了在随机级数展开(SSE)的背景下，当定义扩展系综时，如何将最近发展起来的反馈算法推广到寻找优化的采样分布以模拟量子系统。如果所选择的更新方法是有效的，例如对经历二阶相变的系统进行非局部更新，则如果使用SSE的变长公式，则优化的系综在展开阶上具有平坦直方图的特征。每当更新方法受到减速的影响时，例如在一阶相变时，反馈算法将权重向过渡区域中的扩展阶移动，导致不均匀直方图。
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英文标题：
《Optimized Broad-Histogram Ensembles for the Simulation of Quantum
Systems》
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作者：
Stefan Wessel, Norbert Stoop, Emanuel Gull, Simon Trebst, Matthias
Troyer
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The efficiency of statistical sampling in broad-histogram Monte Carlo simulations can be considerably improved by optimizing the simulated extended ensemble for fastest equilibration. Here we describe how a recently developed feedback algorithm can be generalized to find optimized sampling distributions for the simulation of quantum systems in the context of the stochastic series expansion (SSE) when defining an extended ensemble in the expansion order. If the chosen update method is efficient, such as non-local updates for systems undergoing a second-order phase transition, the optimized ensemble is characterized by a flat histogram in the expansion order if a variable-length formulation of the SSE is used. Whenever the update method suffers from slowdown, such as at a first-order phase transition, the feedback algorithm shifts weight towards the expansion orders in the transition region, resulting in a non-uniform histogram.
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PDF链接：
https://arxiv.org/pdf/710.0024
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