Proper encoding for snapshot-entropy scaling in two-dimensional classical spin models

Hiroaki Matsueda, Dai Ozaki

研究成果: Article査読

10 被引用数 (Scopus)

抄録

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 Tc 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 Sχ∼χηlnχ 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.

本文言語English
論文番号042167
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
92
4
DOI
出版ステータスPublished - 2015 10月 30
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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