A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries
A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries
复制标题
满足现场有限群对称性分裂性质的量子自旋链纯态分类
DOI：
10.1090/btran/51
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Ogata Yoshiko
中科院分区：
文献类型：
--
作者：
Bourne Chris;Ogata Yoshiko;Ogata Yoshiko
我们考虑量子自旋链上的一组纯分裂态，它们在有限群的在格点作用下是不变的。对于中的每一个元素，我们可以关联一个第二上同调类。我们考虑的分类，其标准给出如下：和不等价，如果有自同构，上，（右和左半无限链）保持对称性，使得和拟等价。这意味着我们可以在不改变纠缠和不破坏对称的情况下靠近。我们证明了第二上同调类是这个分类的完全不变量。引用
We consider a setof pure split states on a quantum spin chainwhich are invariant under the on-site actionof a finite group. For each elementinwe can associate a second cohomology classof. We consider a classification ofwhose criterion is given as follows:andinare equivalent if there are automorphisms,on,(right and left half infinite chains) preserving the symmetry, such thatandare quasi-equivalent. It means that we can moveclose towithout changing the entanglement nor breaking the symmetry. We show that the second cohomology classis the complete invariant of this classification. References