| Project/Area Number |
26400412
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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 | Kindai University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
ICHINOSE Ikuo 名古屋工業大学, 工学部, 教授 (20159841)
KASAMATSU Kenichi 近畿大学, 理工学部, 準教授 (70413763)
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| Research Collaborator |
NAKANO Yuki
SAKANE Shinya
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 冷却原子系 / 量子シミュレーション / 格子ゲージ理論 / 拡張ボースハバードモデル / 電気力線 / グロスピタエフスキー方程式 / 非等方U(1)ゲージヒッグスモデル / 磁気単極子 / U(1)ゲージ・ヒッグスモデル / グロス・ピタエフスキー方程式 / シュウィンガー機構 / U(1)格子ゲージ理論 / 非等方ゲージ・ヒッグスモデル / 非等方密度・密度相互作用 / 非等方格子ゲージヒッグスモデル |
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| Outline of Final Research Achievements |
We propose and examine a method of quantum simulation of U(1) lattice gauge Higgs model with asymmetric interactions by using a cold-atom system on an optical lattice (1,2,3 dimensions), which is described by the extended Bose Hubbard model with off-site density-density interactions. After establishing the relation between these two models, we calculate the phase diagram of this gauge model by Monte Carlo simulation, and map it onto the parameter space of the atomic system. This information should be useful to perform experiments. We also study the time development of the gauge model by using Gross-Pitaevskii equation. The dynamics of electric fluxes on one-dimensional lattice exhibits a dynamical version of the Schwinger mechanism.
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