2013 Fiscal Year Final Research Report
Geometric Approach to Markov Chain Monte Carlo
| Project/Area Number |
23540438
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TODO Synge 東京大学, 理学(系)研究科(研究院), 准教授 (10291337)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 計算物理 / モンテカルロ法 / アルゴリズム / 磁性 / 統計物理 / 物性基礎論 |
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| Research Abstract |
We have applied geometric approaches, such as the landfilling method, to the Markov chain Monte Carlo method, which is one of the most powerful method to strongly correlated many-body systems, and found a generic method that drastically accelerates the convergence of Markov chain. We have also developed a precise estimator of energy gap, quantum Monte Carlo level spectroscopy, method for calculating the local Z_N Berry phase, new finite size scaling method for systems with strong spatial anisotropy. In addition, we have developed and made public the BCL library - the generic library for the landfilling method, and the Worms Package - the quantum Monte Carlo application based on the BCL library.
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Research Products
(34 results)
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[Journal Article] The ALPS project release 2.0 : Open source software for strongly correlated systems2011
Author(s)
B. Bauer, L. D. Carr, A. Feiguin, J. Freire, S. Fuchs, L. Gamper, J. Gukelberger, E. Gull, S. Guertler, A. Hehn, R. Igarashi, S.V. Isakov, D. Koop, P.N. Ma, P. Mates, H. Matsuo, O. Parcollet, G. Pawlowski, J.D. Picon, L. Pollet, E. Santos, V.W. Scarola, U. Schollwoeck, C. Silva, B. Surer, S. Todo, S. Trebst, M. Troyer, M.L. Wall, P. Werner, S. Wessel
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Journal Title
J. Stat. Mech
Volume: P05001
DOI
Peer Reviewed
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