論文

査読有り
2018年

Deep neural network detects quantum phase transition

Journal of the Physical Society of Japan
  • Shunta Arai
  • ,
  • Masayuki Ohzeki
  • ,
  • Kazuyuki Tanaka

87
3
開始ページ
033001-1
終了ページ
033001-4
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.7566/JPSJ.87.033001
出版者・発行元
Physical Society of Japan

We detect the quantum phase transition of a quantum many-body system by mapping the observed results of the quantum state onto a neural network. In the present study, we utilized the simplest case of a quantum many-body system, namely a one-dimensional chain of Ising spins with the transverse Ising model. We prepared several spin configurations, which were obtained using repeated observations of the model for a particular strength of the transverse field, as input data for the neural network. Although the proposed method can be employed using experimental observations of quantum many-body systems, we tested our technique with spin configurations generated by a quantum Monte Carlo simulation without initial relaxation. The neural network successfully identified the strength of transverse field only from the spin configurations, leading to consistent estimations of the critical point of our model Gc = J.

リンク情報
DOI
https://doi.org/10.7566/JPSJ.87.033001
ID情報
  • DOI : 10.7566/JPSJ.87.033001
  • ISSN : 1347-4073
  • ISSN : 0031-9015
  • SCOPUS ID : 85042593269

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