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2010 Fiscal Year Final Research Report

Development of Parallelization Method of Simulation Method for Quantum Many-body Problem

Research Project

  • PDF
Project/Area Number 20500044
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Software
Research InstitutionJapan Atomic Energy Agency

Principal Investigator

YAMADA Susumu  Japan Atomic Energy Agency, システム計算科学センター, 研究副主幹 (80360436)

Co-Investigator(Kenkyū-buntansha) MACHIDA Masahiko  独立行政法人日本原子力研究開発機構, システム計算科学センター, 研究主幹 (60360434)
OHASHI Yoji  慶應大学, 理工学部, 准教授 (60272134)
IMAMURA Toshiyuki  電気通信大学, 電気通信学部, 准教授 (60361838)
MATSUMOTO Hideki  東北大学, 大学院・理学研究科, 研究支援者 (40209648)
Project Period (FY) 2008 – 2010
Keywords並列アルゴリズム / ハイパフォーマンスコンピューティング / 量子計算
Research Abstract

In this research, we developed the parallelization strategy and speedup technique of the density matrix renormalization group (DMRG) method which is one of the numerical simulation methods for the quantum many-body problem. We proposed the parallelization strategy derived from the symmetry of the problem. And then, we developed the communication strategy which is suitable for the network architecture of multi-core cluster systems. As a result, we confirmed that our method can achieve the good scalability on 1024 cores. Moreover, we simulated the 2-dimensional quantum many-body problems and discussed the property of the problem by using the simulation results.

  • Research Products

    (9 results)

All 2010 2009 2008

All Journal Article (5 results) Presentation (4 results)

  • [Journal Article] Direct Extension of Density-Matrix Renormalization Group to Two-Dimensional Quantum Lattice Systems : Studies of Parallel Algorithm, Accuracy, and Performance2009

    • Author(s)
      S.Yamada, M.Okumura, M.Machida
    • Journal Title

      J.Phys.Soc.Jpn. 78

      Pages: 094004

  • [Journal Article] マルチコアクラスタのネットワーク構造を考慮した並列密度行列繰り込み群法の通信手法2009

    • Author(s)
      山田進,今村俊幸,町田昌彦
    • Journal Title

      日本計算工学会論文集(論文番号20090015) Vol.2009

  • [Journal Article] Stripe formation in fermionic atoms on a two-dimensional optical lattice inside a box trap : Density-matrix renormalization-group studies for the repulsive Hubbard model with open boundary conditions2008

    • Author(s)
      S.Yamada, M.Okumura, M.Machida
    • Journal Title

      Phys.Rev.A 77

      Pages: 033619

  • [Journal Article] High Performance Computing for Eigenvalue Solver in Density-Matrix Renormalization Group Method : Parallelization of the Hamiltonian Matrix-Vector Multiplication2008

    • Author(s)
      S.Yamada, M.Okumura, M.Machida
    • Journal Title

      J.M.L.M. Palma et al. (Eds.), VECPAR 2008. LNCS (Springer, Berlin) Vol.5336

      Pages: 39-45

  • [Journal Article] Correlation effects on atom-density profiles of one- and two-dimensional polarized atomic Fermi gases loaded on an optical lattice2008

    • Author(s)
      M.Machida, S.Yamada, M.Okumura, Y.Ohashi, H.Matsumoto
    • Journal Title

      Phys.Rev.A 77

      Pages: 053614

  • [Presentation] Parallel DMRG with Multi-site Clustering toward More Than 10-leg Ladders2010

    • Author(s)
      S.Yamada, H.Onishi, R.Igarashi, M.Okumura, M.Machida
    • Organizer
      International Workshop on Density Matrix Renormalization Group and Other Advances in Numerical Renormalization Group Method
    • Place of Presentation
      Beijing (China)
    • Year and Date
      2010-08-30
  • [Presentation] マルチコアクラスタ向け通信手法を用いた密度行列繰り込み群法の並列化2009

    • Author(s)
      山田進,今村俊幸、奥村雅彦、町田昌彦
    • Organizer
      2009年並列/分散/協調処理に関する『仙台』サマー・ワークショップ(SWoPP仙台2009)
    • Place of Presentation
      フォレスト仙台(仙台市)
    • Year and Date
      2009-08-06
  • [Presentation] 超並列固有値計算手法の開発:大規模量子計算への応用2008

    • Author(s)
      山田進,今村俊幸,奥村雅彦,町田昌彦
    • Organizer
      先駆的科学計算に関するフォーラム2008~線形計算を中心に~
    • Place of Presentation
      福岡市
    • Year and Date
      20080900
  • [Presentation] High Performance Computing for Eigenvalue Solver in Density-Matrix Renormalization Group Method : Parallelization of the Hamiltonian Matrix-Vector Multiplication2008

    • Author(s)
      S.Yamada, M.Okumura, M.Machida
    • Organizer
      VECPAR'08-8th International Meeting High Performance Computing for Computational Science
    • Place of Presentation
      Toulouse (France)
    • Year and Date
      20080624-20080627

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Published: 2012-01-26   Modified: 2016-04-21  

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