4.3 Article

Solving the Bose-Hubbard Model with Machine Learning

Journal

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 86, Issue 9, Pages -

Publisher

PHYSICAL SOC JAPAN
DOI: 10.7566/JPSJ.86.093001

Keywords

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Funding

  1. JSPS KAKENHI [JP16K05505, JP17K05595, JP17K05596, JP25103007]
  2. Grants-in-Aid for Scientific Research [17K05595] Funding Source: KAKEN

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Motivated by the recent successful application of artificial neural networks to quantum many-body problems [G. Carleo and M. Troyer, Science 355, 602 ( 2017)], a method to calculate the ground state of the Bose-Hubbard model using a feedforward neural network is proposed. The results are in good agreement with those obtained by exact diagonalization and the Gutzwiller approximation. The method of neural-network quantum states is promising for solving quantum many-body problems of ultracold atoms in optical lattices.

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