Arrays of Rydberg atoms are a powerful platform to realize strongly-interacting quantum many-body systems. A common Rydberg Hamiltonian is free of the sign problem, meaning that its equilibrium properties are amenable to efficient simulation by quantum Monte Carlo (QMC). In this paper, we develop a Stochastic Series Expansion QMC algorithm for Rydberg atoms interacting on arbitrary lattices. We describe a cluster update that allows for the efficient sampling and calculation of physical observables for typical experimental parameters, and show that the algorithm can reproduce experimental results on large Rydberg arrays in one and two dimensions.

中文翻译：

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Rydberg 阵列的随机级数展开量子蒙特卡罗

里德伯原子阵列是实现强相互作用量子多体系统的强大平台。常见的里德伯哈密顿量不存在符号问题，这意味着其平衡特性适合量子蒙特卡罗 (QMC) 的有效模拟。在本文中，我们针对任意晶格上相互作用的里德堡原子开发了一种随机级数展开 QMC 算法。我们描述了一种簇更新，可以对典型实验参数的物理可观测值进行有效采样和计算，并表明该算法可以在一维和二维上重现大型里德堡阵列的实验结果。