title: Proper encoding for snapshot-entropy scaling in two-dimensional classical spin models.
abstract: We reexamine the snapshot entropy of the Ising and three-states Potts models on the L×L square lattice. Focusing on how to encode the spin snapshot, we find that the entropy at T(c) scales asymptotically as S∼(1/3)lnL that strongly reminds us of the entanglement entropy in one-dimensional quantum critical systems. This finding seems to support that the snapshot entropy after the proper encoding is related to the holographic entanglement entropy. On the other hand, the anomalous scaling S(χ)∼χ(η)lnχ for the coarse-grained snapshot entropy holds even for the proper encoding. These features originate in the fact that the largest singular value of the snapshot matrix is regulated by the proper encoding.
authors.affiliation: Advanced Course of Information and Electronic System Engineering, Sendai National College of Technology, Sendai 989-3128, Japan.
authors.forename: Hiroaki
authors.initials: H
authors.lastname: Matsueda
authors.affiliation: Advanced Course of Information and Electronic System Engineering, Sendai National College of Technology, Sendai 989-3128, Japan.
authors.forename: Dai
authors.initials: D
authors.lastname: Ozaki