Study of topological order and entanglement in strongly correlated quantum spin systems
Project/Area Number |
17K05564
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Mathematical physics/Fundamental condensed matter physics
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Research Institution | The University of Tokyo |
Principal Investigator |
Todo Synge 東京大学, 大学院理学系研究科(理学部), 教授 (10291337)
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Project Period (FY) |
2017-04-01 – 2021-03-31
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Project Status |
Completed (Fiscal Year 2020)
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Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2018: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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Keywords | トポロジカル秩序 / エンタングルメントエントロピー / 臨界現象 / 計算物理 / テンソルネットワーク / 量子モンテカルロ法 / 量子スピン系 / 量子ダイマー模型 / 量子モンテカルロ / モンテカルロ法 / テンソルネットワーク法 / エンタングルメント |
Outline of Final Research Achievements |
In order to characterize the various quantum states in quantum spin systems and the novel quantum phase transitions between these quantum phases, we have developed various numerical methods based on quantum Monte Carlo and tensor network methods. Although the quantities characterizing the topological order have been studied mainly for one-dimensional quantum systems, precise and efficient measurements are now possible for higher-dimensional systems. Using the developed method, we carried out large-scale simulations to analyze the phase transition of the topological phase field. We have also developed and released software based on the new algorithm.
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Academic Significance and Societal Importance of the Research Achievements |
トポロジカルな秩序やトポロジカルな励起は、エキゾチックな相転移現象や非自明な量子状態において非常に大きな役割を果たしており、その理解は学術的にも新しい量子技術の発展のためにも重要である。本研究で開発された、量子モンテカルロ法やテンソルネットワーク法に基づくさまざまな新規手法は、この分野の今後の研究に大きな波及効果が期待される。
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Report
(5 results)
Research Products
(28 results)
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[Journal Article] Updated Core Libraries of the ALPS Project2017
Author(s)
A. Gaenko, A. E. Antipov, G. Carcassi, T. Chen, X. Chen, Q. Dong, L. Gamper, J. Gukelberger, R. Igarashi, S. Iskakov, M. Konz, J. P. F. LeBlanc, R. Levy, P. N. Ma, J. E. Paki, H. Shinaoka, S. Todo, M. Troyer, E. Gull
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Journal Title
Computer Physics Communications
Volume: 213
Pages: 235-251
DOI
Related Report
Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
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[Journal Article] Quantum Lattice Model Solver HPhi2017
Author(s)
Mitsuaki Kawamuraa, Kazuyoshi Yoshimi, Takahiro Misawa, Youhei Yamaji, Synge Todo, and Naoki Kawashima
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Journal Title
Computational Physics Communications
Volume: 印刷中
Pages: 180-192
DOI
Related Report
Peer Reviewed / Open Access
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