Many-body anticommutator and its applications in the normalization of completely symmetric states with Majorana's stellar representations
Many-body anticommutator and its applications in the normalization of completely symmetric states with Majorana's stellar representations
复制标题
多体反换子及其在马约拉纳恒星表示完全对称态归一化中的应用
DOI：
10.1103/physreva.104.012203
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发表时间：
2021
影响因子：
2.9
通讯作者：
Wang Xiao-Guang
中科院分区：
文献类型：
--
作者：
Lu Xi;Zhan Li-Yao;Chen Jie;Liu Hao-Di;Fu Li-Bin;Wang Xiao-Guang
理解多体状态的量子特性在量子信息和凝聚态物理领域都很重要。为此，我们将反交换子的基本概念从两个算子推广到多体情形。给出了多体反子的一些关键性质，并给出了泡利算子和密度矩阵的例子。利用这些结果和对称群的技巧，我们用一种简单的方法给出了完全对称态的Majorana恒星表象的归一化。我们的方法将有助于铺平道路，在多体对称系统的研究。
Understanding the quantum properties of many-body states is important in the fields of both quantum information and condensed-matter physics. For this purpose, we generalize the basic concept of the anticommutator from two operators to the many-body case. Some key properties are given for the many-body anticommutators, and examples are provided for Pauli operators and density matrices. Using these results and techniques from the symmetry group, in a straightforward way, we give the normalization of the completely symmetric states with Majorana's stellar representations. Our developed method will help to pave the way in the study of many-body symmetric systems.