2016 Fiscal Year Final Research Report
Phase Structure of the U(1) Lattce Gauge Higgs Model and Dynamics of Magnetic Flux and Magnetic Monopole
| 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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| 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 |
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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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| Free Research Field |
凝縮系物理学理論
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