Quantum spin liquids can be faithfully represented and efficiently characterized within the framework of projected entangled pair states (PEPS). Guided by extensive exact diagonalization and density matrix renormalization group calculations, we construct an optimized symmetric PEPS for a $\mathrm{SU}(3{)}_1$ chiral spin liquid on the square lattice. Characteristic features are revealed by the entanglement spectrum (ES) on an infinitely long cylinder. In all three ${\mathbb{Z}}_3$ sectors, the level counting of the linear dispersing modes is in full agreement with $\mathrm{SU}(3{)}_1$ Wess-Zumino-Witten conformal field theory prediction. Special features in the ES are shown to be in correspondence with bulk anyonic correlations, indicating a fine structure in the holographic bulk-edge correspondence. Possible universal properties of topological $\mathrm{SU}(N{)}_k$ chiral PEPS are discussed.

中文翻译：

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SU（3）_ {1}方格上的手性自旋液体：对称投影纠缠对态的视图。

可以在投影纠缠对状态（PEPS）的框架内如实地表示量子自旋液体并对其进行有效表征。在广泛的精确对角化和密度矩阵重归一化组计算的指导下，我们构建了针对$苏（3{）}_{\mathrm{1个}}$手性自旋液体在方格上。无限长圆柱上的纠缠光谱（ES）揭示了特征。在所有三个${\mathbb{ž}}_3$ 部门，线性分散模式的水平计数与 $苏（3{）}_{\mathrm{1个}}$Wess-Zumino-Witten共形场理论预测。ES中的特殊功能显示与体相符相关，表明全息体相间的精细结构。拓扑的可能通用属性$苏（ñ{）}_{ķ}$ 讨论了手性PEPS。