A New Monte Carlo Method in Quantum Spin Systems (Stochastic State Selection)

• Project/Area Number: 19540398
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: University of Yamanashi
• Principal Investigator: MUNEHISA Tomoo University of Yamanashi, 大学院・医学工学総合研究部, 教授 (30174254)
• Project Period (FY): 2007 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000); Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000); Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2007: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: 計算物理学 / 量子スピン / モンテカルロ法 / 三角格子 / 確率的状態選択法 / 数値計算 / 第一原理的 / 負符号問題 / 自発的対称性の破れ / 第一原理的方法 / 試行波動関数 / 試行状態

Research Abstract

We developed a new method to calculate physical quantity in the quantum spin system. This method is one of first principle methods and called as a stochastic state selection method. By this method we can calculate energy and other quantity in triangular lattice. In this system our results indicate that the spontaneous symmetry breaking occurs and the Nambu boson exists.

Research Products

• [Journal Article] Numerical study of the spin-1/2 Heisenberg antiferromagnet on a 48-site triangular lattice using the stochastic state selection method (2010)
  • Author(s): T.Munehisa, Y.Munehisa
  • Journal Title: arXiv cond-mat 1008161 Pages: 1-15
• [Journal Article] Numerical study of the spin-1/2 Heisenberg antiferomaget o a 48-site triangular lattice using the stochastic state selection method (2010)
  • Author(s): Tomo Munehisa
  • Journal Title: arXiv cond-mat Volume: 10080161 Pages: 1-15
• [Journal Article] A Constrained Stochastic State Selection Method Applied to Frustrated Quantum Spin Systems (2009)
  • Author(s): T.Munehisa, Y.Munehisa
  • Journal Title: J.Phys : Condens. 21 Pages: 236008-236019
  • Peer Reviewed
• [Journal Article] A constrained stochastic state selection method applied to quantum spin systems (2009)
  • Author(s): Tomo Munehisa
  • Journal Title: Journal of Physics : Condensed Matter 21 Pages: 236008-236019
  • Peer Reviewed
• [Journal Article] A constrained stochastic state election method applied to quantum spinsystems (2008)
  • Author(s): Tomo Munehisa
  • Journal Title: Preprint server cond-mat : arXiv : 0807. 1379 807 Pages: 1-10
• [Journal Article] An Equilibrium for Frustrated Quantum Spin Systems in the Stochastic State Selection Method (2007)
  • Author(s): T.Munehisa, Y.Munehisa
  • Journal Title: J.Phys : Condens. 19 Pages: 196202-196220
  • Peer Reviewed
• [Journal Article] An equilibrium for frustrated quantum spin systems in the stochastic state selection method (2007)
  • Author(s): Tomo Munehisa, Yasuko Munehisa
  • Journal Title: Journal of Physics: Condensed Matter 19 Pages: 196202-196200
  • Peer Reviewed
• [Presentation] 交叉のみによる動的生成マルコフ連鎖モンテカルロ法 (2011)
  • Author(s): 李建勲
  • Organizer: 電子情報通信学会
  • Place of Presentation: 東京都市大学(東京)
  • Year and Date: 2011-03-16
• [Presentation] 交叉(EAX)を含む動的生成焼きなまし法のTSPへの適用 (2011)
  • Author(s): 山本貴慎
  • Organizer: 電子情報通信学会
  • Place of Presentation: 東京都市大学(東京)
  • Year and Date: 2011-03-16
• [Presentation] 確率的状態選択法によるスピン1/2三角格子ハイゼンベルグ反強磁性体の励起エネルギー計算 (2010)
  • Author(s): 宗久知男
  • Place of Presentation: 岡山大学
  • Year and Date: 2010-03-20
• [Presentation] 一様でない遷移確率を用いた焼き鈍し法 (2010)
  • Author(s): 鈴木悠也
  • Organizer: 電子情報通信学会
  • Place of Presentation: 東京大学
  • Year and Date: 2010-03-12
• [Presentation] マルコフモンテカルロに基づく分布推定法を用いた最適化アルゴリズム (2009)
  • Author(s): 近山祐美
  • Organizer: 電子情報通信学会
  • Place of Presentation: 立命館大学
  • Year and Date: 2009-03-12
• [Presentation] 一様でない遷移確率を用いた焼き鈍し法 (2009)
  • Author(s): 鈴木悠也
  • Organizer: 電子情報通信学会
  • Place of Presentation: 立命館大学
  • Year and Date: 2009-03-12
• [Presentation] 確率的状態選択法による三角格子ハイゼンベルグ量子スピン模型の励起エネルギー計算 (2008)
  • Author(s): 宗久知男
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [Presentation] 確率的状態選択法による三角格子ハイゼンベルク量子スピン模型の励起エネルギー計算 (2008)
  • Author(s): 宗久知男
  • Organizer: 日本物理学会
  • Place of Presentation: 岩手大学
  • Year and Date: 2008-09-20
• [Presentation] 最適化問題における確率的状態選択法-焼きなまし法との比較- (2008)
  • Author(s): 山崎紘揮、宗久知男、宗久保子
  • Organizer: 電子情報通信学会
  • Place of Presentation: 筑波大学
  • Year and Date: 2008-03-15
• [Presentation] 分布推定法とマルコフモンテカルロ (2008)
  • Author(s): 近山 祐美、宗久知男、宗久保子
  • Organizer: 電子情報通信学会
  • Place of Presentation: 筑波大学
  • Year and Date: 2008-03-14
• [Presentation] 確率的状態選択法による三角格子量子スピン系の変分波動関数の評価 (2007)
  • Author(s): 宗久知男
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-22
• [Presentation] 確率的状態選択法による三角格子量子スピン系の変分波動関数の評価 (2007)
  • Author(s): 宗久知男、宗久保子
  • Organizer: 日本物理学会
  • Place of Presentation: 北海道大学
  • Year and Date: 2007-09-22
• [Remarks] ホームページなど
  • URL: http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/index-.j.html
• [Remarks]
  • URL: http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/index-j.html
• [Remarks]
  • URL: http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/index-j.html
• [Remarks]
  • URL: http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/index-j.html
• [Remarks]
  • URL: http://www.ccn.yamanashi.ac.jp/~munehisa/munehisa/ndex-j.html