论文标题

全球扫描群算法的全球方案,以在拓扑领域进行采样

Global scheme of sweeping cluster algorithm to sample among topological sectors

论文作者

Yan, Zheng

论文摘要

局部约束与量规场密切相关,因此受约束的模型通常是有效的低能量描述,在凝结物理学中很重要。另一方面,局部限制阻碍了数值算法的应用。除了约束的计算困难外,无法通过本地运营商连接的各个拓扑领域也是关键计算困难之一。以量子二聚体模型为例,我们基于扫描群集蒙特卡洛方法构建了一个全局方案,该方案可以在不同的拓扑领域进行采样。原则上,该方法可以推广到其他模型。

Local constraint is closely related to the gauge field, so constrained models are usually effective low energy descriptions and important in condensed matter physics. On the other hand, local restriction hinders the application of numerical algorithms. In addition to the computational difficulties of the constraints, the various topological sectors which cannot be connected through local operators are also one of the key computational difficulties. Taking quantum dimer model as an example in this paper, we construct a global scheme based on sweeping cluster Monte Carlo method, which can sample among different topological sectors. In principle, this method can be generalized to other models.

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