无限晶格上二维量子系统的模拟：张量收缩的角转移矩阵
Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction
摘要：
最近提出了一种将投影纠缠对态（PEPS）算法推广到无限体系的iPEPS算法，用于计算无限二维晶格上量子体系的基态.在这里，我们调查的iPEPS算法的修改，其中的环境计算使用角转移矩阵重整化群（CTMRG）的方法，而不是使用一维的转移矩阵的方法，在原来的建议。我们描述了CTMRG的一个变体，它独立地处理晶格的不同方向，并使用它与虚时间演化相结合来计算二维量子伊辛模型的基态。在临界点附近，改进的iPEPS算法可以更好地估计序参量和扩散因子。
英文摘要：
An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an infinite two-dimensional lattice. Here we investigate a modification of the iPEPS algorithm, where the environment is computed using the corner transfer matrix renormalization group (CTMRG) method, instead of using one-dimensional transfer matrix methods as in the original proposal. We describe a variant of the CTMRG that addresses different directions of the lattice independently, and use it combined with imaginary time evolution to compute the ground state of the two-dimensional quantum Ising model. Near criticality, the modified iPEPS algorithm is seen to provide a better estimation of the order parameter and correlators.
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