We generalize the method introduced in Phys. Rev. B 101, 041108 (2020) of extracting information about topological order from the ground state of a strongly correlated two-dimensional system represented by an infinite projected entangled pair state (iPEPS) to non-Abelian topological order. When wrapped on a torus the unique iPEPS becomes a superposition of degenerate and locally indistinguishable ground states. We find numerical symmetries of the iPEPS, represented by infinite matrix product operators (MPO) and their fusion rules. The rules tell us how to combine the symmetries into projectors onto states with well defined anyon flux. A linear structure of the MPO projectors allows for efficient determination for each state its second Renyi topological entanglement entropy on an infinitely long cylinder directly in the limit of infinite cylinder's width. The same projectors are used to compute topological $S$ and $T$ matrices encoding mutual and self-statistics of emergent anyons. The algorithm is illustrated by examples of Fibonacci and Ising non-Abelian string net models.

中文翻译：

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从无限的投影纠缠对状态确定非阿贝尔拓扑顺序

我们概括了Phys中 介绍的方法。B版101，参见041108（2020），该方法从以无限投影纠缠对状态（iPEPS）表示的非阿贝尔拓扑顺序表示的强相关二维系统的基态中提取有关拓扑顺序的信息。当包裹在圆环上时，独特的iPEPS成为退化的和局部无法区分的基态的叠加。我们发现iPEPS的数值对称性，由无限矩阵乘积算子（MPO）及其融合规则表示。这些规则告诉我们如何将对称性组合到放映机中，以具有明确定义的安逸通量的状态。MPO投影仪的线性结构可在每个无限大圆柱体的宽度范围内直接在无限长圆柱体上有效确定每种状态的第二仁义拓扑纠缠熵。$\mathrm{小号}$ 和 $Ť$编码紧急事件的相互和自我统计的矩阵。Fibonacci和Ising非阿贝尔弦网模型的例子说明了该算法。