二维经典自旋模型因子化快拍数据的熵
Entropy of Factorized Snapshot Data for Two-Dimensional Classical Spin Models
摘要：
我们重新审视的伊辛和三态Potts模型上的LXL正方形晶格的快照熵。通过对快拍矩阵的因式分解，我们发现在Tc处的熵与一维量子临界系统中的纠缠熵一致地渐近标度为S=（c/3）lnL.这种非平凡的一致性有力地支持了因子分解后的快照熵确实代表了全息纠缠熵。另一方面，即使在因子分解之后，粗粒度快照熵的异常缩放也被保留。这些问题的根源在于快拍矩阵的最大奇异值受因子分解的制约。
英文摘要：
We reexamine the snapshot entropy of the Ising and three-states Potts models on the LxL square lattice. Focusing on the factorization of the snapshot matrix, we find that the entropy at Tc scales asymptotically as S=(c/3)lnL consistent with the entanglement entropy in one-dimensional quantum critical systems. This nontrivial consistency strongly supports that the snapshot entropy after the factorization really represents the holographic entanglement entropy. On the other hand, the anomalous scaling for the coarse-grained snpshot entropy is retained even after the factorization. These fearures are considered to originate from the fact that the largest singular value of the snapshot matrix is regulated by the factorization.
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