Numerical study of gauge theories and its application to quantum many-body phenomena
| Project/Area Number |
23540301
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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 |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Nagoya Institute of Technology |
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Principal Investigator |
ICHINOSE ikuo 名古屋工業大学, 工学(系)研究科(研究院), 教授 (20159841)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Keywords | ゲージ理論 / モンテ・カルロ計算実験 / 量子相転移 / 極低温原子系 / 強相関多体系 / 量子多体現象 / 相転移 / モンテ・カルロ法数値実験 / グロス・ピタエフスキー方程式 / 位相励起 / 閉じ込め相 / ヒッグス相 / 計算機シミュレーション / 光学格子 / モンテ・カルロ数値計算 / 格子場の理論 / 強相関 |
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| Research Abstract |
In the present study, we investigate phase diagrams of various quantum many-body systems including strongly-correlated electron systems and multi-species ultra-cold atomic gases on an optical lattice. By varying parameters of the models, a phase transition takes place and low-energy excitations in each phase are investigated by the gauge theory, which is most important theory in elementary particle theory. Besides analytical study, we use the numerical study including Monte-Carlo simulations and numerical inveatigation of the Gross-Pitaevskiiand/or Gintzburg-Landau equations describing superfluid and superconductivity. We particularly focus on systems of ultra-cold atomic gases on an optical lattice, which are quite controllable. Numerical Monte-Carlo experiments reveals various interesting properties of these systems.
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Report
(4 results)
Research Products
(48 results)
