PEPS中的扭曲内射性和量子相的分类
Twisted Injectivity in PEPS and the Classification of Quantum Phases
摘要：
引入了一类基于群的3-上循环扭曲的群对称性的投影纠缠对态。这种扭曲的对称性产生了一个新的标准形式的PEPS，我们构建了一个家庭的本地哈密顿是有缺口的，挫折免费的，包括不动点的重整化群流。此外，我们提出了2D带隙量子自旋系统的分类，通过展示PEPS的新标准形式如何决定这些局部哈密顿量的涌现拓扑顺序。具体地说，我们确定其普适类为Dijkgraaf-Witten拓扑量子场论（TQFT）。
英文摘要：
We introduce a class of projected entangled pair states (PEPS) which is based on a group symmetry twisted by a 3-cocycle of the group. This twisted symmetry gives rise to a new standard form for PEPS from which we construct a family of local Hamiltonians which are gapped, frustration-free and include fixed points of the renormalization group flow. Moreover, we advance the classification of 2D gapped quantum spin systems by showing how this new standard form for PEPS determines the emergent topological order of these local Hamiltonians. Specifically, we identify their universality class as Dijkgraaf-Witten topological quantum field theory (TQFT).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
