论文标题
量子厅边缘的纠缠熵及其几何贡献
The entanglement entropy of the quantum Hall edge and its geometric contribution
论文作者
论文摘要
一般而言，由于短距离量子相关性，宽度量子多体状态的两个子区域之间的两个子区域之间的纠缠熵（EE）与其界面的面积/长度成正比。但是，所谓的区域法在量子关键阶段被对数违反。此外，跨层次纠正范围内存在跨越拓扑阶段。它被称为拓扑EE，与批量集体激发的量子维度有关。此外，如果在子系统边界的存在下，非平滑角度的角度，则预计将出现在转向校正中的通用角度依赖性几何贡献。在这项工作中，我们同时探讨了整数量子厅（IQH）状态及其边缘重建中的几何和边缘贡献。发现它们的缩放与粒子数波波动计算的最新结果相符。
Generally speaking, the entanglement entropy (EE) between two subregions of a gapped quantum many-body state is proportional to the area/length of their interface due to the short range quantum correlation. However, the so-called area law is violated logarithmically in a quantum critical phase. Moreover, the subleading correction exists in a long range entangled topological phases. It is referred to as topological EE which is related to the quantum dimension of the collective excitation in the bulk. Further more, if a non-smooth sharp angle is in the presence of the subsystem boundary, a universal angle dependent geometric contribution is expected to appear in the subleading correction. In this work, we simultaneously explore the geometric and edge contribution in the integer quantum Hall (IQH) state and its edge reconstruction in a unified bipartite method. Their scaling is found to be consistent with the conformal field theory (CFT) predictions and recent results of the particle number fluctuation calculations.
