Exact mapping from singular-value spectrum of fractal images to entanglement spectrum of one-dimensional quantum systems

Ching Hua Lee, Yuki Yamada, Tatsuya Kumamoto, Hiroaki Matsueda

研究成果: Article査読

16 被引用数 (Scopus)

抄録

We examine the snapshot entropy of fractal images defined by their singular values. Remarkably, the singular values for a large class of fractals are in exact correspondence with the entanglement spectrum of free fermions in one dimension. These fermions allow for an interpretation of the logarithmic scaling of the snapshot entropy, which is in agreement with the logarithmic violation formula of the area law scaling. However, the coarse-grained entropy exhibits a linear scaling owing to the degeneracy of the spectrum, in contrast with the logarithmic scaling behavior in onedimensional quantum near-critical systems.

本文言語English
論文番号013001
ジャーナルjournal of the physical society of japan
84
1
DOI
出版ステータスPublished - 2015 1 15
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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