Entanglement entropy scaling in the bilayer Heisenberg spin system
Entanglement entropy scaling in the bilayer Heisenberg spin system
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DOI：
10.1103/physrevb.89.245120
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发表时间：
2014-06-13
影响因子：
3.7
通讯作者：
Wessel, Stefan
中科院分区：
文献类型：
--
作者：
Helmes, Johannes;Wessel, Stefan
基于量子MonteCarlo方法计算二维正方晶格双层膜上自旋半海森堡模型的第二类Renyi纠缠熵，研究了该模型的纠缠特性。特别是，我们提取占主导地位的面积法贡献的二分纠缠熵，显示出非单调的行为时，增加层间交换相互作用：在面积法系数的局部最大值位于量子临界点分离的反铁磁有序区域从无序的二聚体单态制度。此外，我们还考虑了对Renyi纠缠熵标度的次对数修正。采用不同的子区域形状，我们隔离的对数角项的对数贡献，由于戈德斯通模式，被发现是增强的去耦层的限制。在量子临界点，我们估计每个90度角的贡献为0.016（1）。这个角项在SU（2）量子临界点偏离高斯理论值，而它比较以及最近的数值连接团簇计算的双层模型。
We examine the entanglement properties of the spin-half Heisenberg model on the two-dimensional square-lattice bilayer based on quantum Monte Carlo calculations of the second Renyi entanglement entropy. In particular, we extract the dominant area-law contribution to the bipartite entanglement entropy that shows a nonmonotonous behavior upon increasing the interlayer exchange interaction: a local maximum in the area-law coefficient is located at the quantum critical point separating the antiferromagnetically ordered region from the disordered dimer-singlet regime. Furthermore, we consider subleading logarithmic corrections to the Renyi entanglement entropy scaling. Employing different subregion shapes, we isolate the logarithmic corner term from the logarithmic contribution due to Goldstone modes that is found to be enhanced in the limit of decoupled layers. At the quantum critical point, we estimate a contribution of 0.016(1) due to each 90 degrees corner. This corner term at the SU(2) quantum critical point deviates from the Gaussian theory value, while it compares well with recent numerical linked cluster calculations on the bilayer model.