Stochastic series expansion quantum Monte Carlo for Rydberg arrays

Stochastic series expansion quantum Monte Carlo for Rydberg arrays
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Rydberg 阵列的随机级数展开量子蒙特卡罗

DOI:
10.21468/scipostphyscore.7.2.016
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发表时间:
2021
影响因子:
3.6
通讯作者:
R. Melko
R. Melko
中科院分区:
--
文献类型:
--
作者:
Ejaaz Merali;Isaac J. S. De Vlugt;R. Melko

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里德堡原子阵列是实现强相互作用量子多体系统的有力平台。一个常见的里德堡哈密顿量不存在符号问题,这意味着它的平衡性质可以用量子蒙特卡罗(QMC)进行有效的模拟。本文提出了里德堡原子与任意晶格相互作用的随机级数展开QMC算法。我们描述了一种簇更新,它允许对典型实验参数的物理观测数据进行有效的采样和计算,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。
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.
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