Universal entanglement entropy in two-dimensional conformal quantum critical points
Universal entanglement entropy in two-dimensional conformal quantum critical points
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DOI：
10.1103/physrevb.79.115421
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发表时间：
2008-12
影响因子：
3.7
通讯作者：
B. Hsu;Michael Mulligan;E. Fradkin;Eun-Ah Kim
中科院分区：
文献类型：
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作者：
B. Hsu;Michael Mulligan;E. Fradkin;Eun-Ah Kim
研究了二维共形量子临界系统纠缠熵的标度行为，具有标度不变波函数的系统。它们包括二分格上的二维广义量子二聚体模型和量子圈模型，以及量子Lifshitz模型和相关的规范理论。我们表明，在相当一般的条件下，纠缠熵的一个大的和简单的连接子系统的无限系统具有光滑的边界具有普遍的有限贡献，以及尺度不变的条款，为特殊的几何形状。量子临界系统的波函数的共形结构的性质计算的纠缠熵的通用有限的贡献。万有项的计算归结为边界共形场论中的一个问题
We study the scaling behavior of the entanglement entropy of two-dimensional conformal quantum critical systems, i.e., systems with scale-invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite lattices and quantum loop models, as well as the quantum Lifshitz model and related gauge theories. We show that under quite general conditions, the entanglement entropy of a large and simply connected subsystem of an infinite system with a smooth boundary has a universal finite contribution, as well as scale-invariant terms for special geometries. The universal finite contribution to the entanglement entropy is computable in terms of the properties of the conformal structure of the wave function of these quantum critical systems. The calculation of the universal term reduces to a problem in boundary conformal field theory