Dynamical and Optical Theory of Vortex Structure in Spinor Bose Condensate
| Project/Area Number | 13640301 |
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
KURATSUJI Hiroshi Ritsumeikan Univ., Fac Science and Engineering, Professor, 理工学部, 教授 (30178090)
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| Project Period (FY) |
2001 – 2003
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| Project Status |
Completed(Fiscal Year 2003)
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| Budget Amount *help |
¥1,600,000 (Direct Cost : ¥1,600,000)
Fiscal Year 2003 : ¥400,000 (Direct Cost : ¥400,000)
Fiscal Year 2002 : ¥500,000 (Direct Cost : ¥500,000)
Fiscal Year 2001 : ¥700,000 (Direct Cost : ¥700,000)
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| Keywords | spinor bose condensate / Landau-Ginzburg Lagrangian / Ferromagnet fluid / light polarization / Faraday effect / Bloch state / ブロッホ状態 / ボーズ凝縮 / 凝縮体 / ハイゼンベルク模型 / コヒーレント状態 / ランダウーギンツブルク理論 / 渦 / マグナス力 / 位相不変量 / ストークス変数 / スピノル型ボーズ凝縮 / 非線形シュレーディンガー場 / 位相欠陥 / 芯なし渦 / 非線型媒質 |
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| Research Abstract |
The spinor bose wndensate (BEC) is formulated by the Landau-Ginzburg (LO) Lagrangian mitten in terms of the Blooch state order parameter. From this formulation, it is seen that the spinor BEC is regarded as a "fenxmagnetic fluid".
By using the 113 Lagrangian, the prolile of single vortex has been obtained by using the variation equation The profile function is used to derive the equation of motion for the single vortex~ The resultant equation of motion shows a specilic form acting on the vortex: called the "IViagnus force" This hydrodynamical foree is shown to include the topological structure of the "coreless vortex".
By noting that the spinor bose condensate has a clese analogy with the anistropic superfluid helium 3A, this anisotropic nature has been examined in the context of the light polarization effect. Specifically the Famday rotation is expected for the ferromagnet state which is a spin aligned state.
In relation to the light polarization theory, the general formulation has been given for the dynamics of the Stokes parameter for nonlinear birefringeng media10. KEY WORDS
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Report
(4results)
Research Products
(6results)
