Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis

Research output: Contribution to journalArticle

Abstract

A method is introduced to measure the entanglement entropy using a wavelet analysis. Using this method, the two-dimensional Haar wavelet transform of a configuration of Fortuin-Kasteleyn (FK) clusters is performed. The configuration represents a direct snapshot of spin-spin correlations since spin degrees of freedom are traced out in FK representation. A snapshot of FK clusters loses image information at each coarse-graining process by the wavelet transform. It is shown that the loss of image information measures the entanglement entropy in the Potts model.

Original languageEnglish
Article number052128
JournalPhysical Review E
Volume97
Issue number5
DOIs
Publication statusPublished - 2018 May 21

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two dimensional models
wavelet analysis
entropy
configurations
degrees of freedom

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Measurement of entanglement entropy in the two-dimensional Potts model using wavelet analysis. / Tomita, Yusuke.

In: Physical Review E, Vol. 97, No. 5, 052128, 21.05.2018.

Research output: Contribution to journalArticle

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