Detection of long-range entanglement in gapped quantum spin liquids by local measurements
Detection of long-range entanglement in gapped quantum spin liquids by local measurements
复制标题
通过局部测量检测带隙量子自旋液体中的长程纠缠
DOI：
10.1103/physreva.106.042417
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发表时间：
2022
影响因子：
2.9
通讯作者：
Trivedi, Nandini
中科院分区：
文献类型：
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作者：
Feng, Shi;He, Yanjun;Trivedi, Nandini
拓扑序，反映在远程模式的纠缠，量化的拓扑纠缠熵。我们证明了对于带隙的量子自旋液体，利用双自旋局域子提取是可能的。我们证明了我们的方法gappedKitaev自旋液体的蜂窝晶格与各向异性的相互作用。我们表明，拓扑顺序可以简单地提取本地两个自旋的双自旋的双自旋的两个不同的债券，只涉及马约拉纳费米子，具有可比或高于Kitaev Preskill建设的准确性。这意味着，即使基态可以分解为Majorana扇区和规范扇区的乘积，由整体Wilson回路算符确定的规范理论的不同超选择扇区也可以局部地反映在Majorana扇区中。
Topological order, reflected in long-range patterns of entanglement, is quantified by the topological entanglement entropy. We show that for gapped quantum spin liquids it is possible to extractusing two-spin local correlators. We demonstrate our method for the gappedKitaev spin liquid on a honeycomb lattice with anisotropic interactions. We show that thefortopological order can be simply extracted from local two-spin correlators across two different bonds that involve only Majorana fermions, with an accuracy comparable to or higher than the Kitaev-Preskill construction. This implies that even though the ground state can be factorized into the product of Majorana and gauge sectors, the different superselection sectors ofgauge theory determined by global Wilson loop operators can be reflected locally in the Majorana sector.
影响因子：
64.8
作者：
Kasahara, Y.;Ohnishi, T.;Matsuda, Y.
通讯作者：
Matsuda, Y.