论文标题
模拟2+1d $ \ mathbb {z} _3 $ lattice仪表理论与ipeps
Simulating 2+1d $\mathbb{Z}_3$ lattice gauge theory with iPEPS
论文作者
论文摘要
我们通过使用iPeps（无限投影纠缠的对态）ansatz来模拟零温度纯$ \ mathbb {z} _3 $晶格量表理论。因此，我们的结果在热力学极限下直接有效。它们清楚地显示了两个不同的阶段，这些阶段被相变隔开。我们介绍了一种更新策略，该策略可以将plaquette术语和高斯法律约束作为两体操作员的序列应用。这允许使用最新的IPEP算法。从空间威尔逊回路的计算中，我们能够证明存在一个狭窄的相位。我们表明，以相对较低的计算成本，可以再现量规理论的关键特征。我们预计该策略可以将IPEPS研究扩展到更一般的LGT。
We simulate a zero-temperature pure $\mathbb{Z}_3$ Lattice Gauge Theory in 2+1 dimensions by using an iPEPS (Infinite Projected Entangled-Pair State) ansatz for the ground state. Our results are therefore directly valid in the thermodynamic limit. They clearly show two distinct phases separated by a phase transition. We introduce an update strategy that enables plaquette terms and Gauss-law constraints to be applied as sequences of two-body operators. This allows the use of the most up-to-date iPEPS algorithms. From the calculation of spatial Wilson loops we are able to prove the existence of a confined phase. We show that with relatively low computational cost it is possible to reproduce crucial features of gauge theories. We expect that the strategy allows the extension of iPEPS studies to more general LGTs.
