论文标题
通过局部测量检测量子间自旋液体中远程纠缠的检测
Detection of long-range entanglement in gapped quantum spin liquids by local measurements
论文作者
论文摘要
拓扑顺序以远程纠缠的远程模式反映，通过拓扑纠缠熵（TEE）$γ$量化。我们表明，对于质量旋转液体（QSL），可以使用两旋局部局部相关器提取$γ$。我们演示了与蜂窝晶格上具有各向异性相互作用的honeycomb晶状体上的$ \ mathbb {z} _2 $ kitaev旋转液体的方法。我们表明，可以简单地从两种不同的债券中从本地的两翼相关器中提取$ \ mathbb {z} _2 $拓扑顺序的$γ= \ log 2 $，其准确性可比性或高于Kitaev-Preskill Construction。这意味着$ \ mathbb {z} _2 $ gauge理论由全球Wilson Loop操作员确定的量规理论的不同超选择扇区可以在Majorana Majorana部门的本地完全反映。
Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) $γ$. We show that for gapped quantum spin liquids (QSL) it is possible to extract $γ$ using two-spin local correlators. We demonstrate our method for the gapped $\mathbb{Z}_2$ Kitaev spin liquid on a honeycomb lattice with anisotropic interactions. We show that the $γ= \log 2$ for $\mathbb{Z}_2$ topological order can be simply extracted from local two-spin correlators across two different bonds, with an accuracy comparable or higher than the Kitaev-Preskill construction. This implies that the different superselection sectors of $\mathbb{Z}_2$ gauge theory determined by global Wilson loop operators can be fully reflected locally in the matter majorana sector.
