Dynamical and Optical Theory of Vortex Structure in Spinor Bose Condensate

旋量玻色凝聚中涡旋结构的动力学和光学理论

• 批准号: 13640301
• 负责人: KURATSUJI Hiroshi
• 金额: $ 1.02万
• 依托单位: Ritsumeikan University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640301/
• 关键词: 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

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

旋量玻色稠密体 (BEC) 由朗道-金茨堡 (LO) 拉格朗日手套根据布洛赫态序参数公式化。从这个公式可以看出，旋量BEC被视为“芬克斯磁流体”。利用113拉格朗日量，利用变分方程得到了单个涡旋的轮廓，并利用轮廓函数推导了运动方程对于单个涡流~ 由此产生的运动方程显示了作用于涡流的特殊形式：称为“IViagnus 力” 这种流体动力力被证明包括涡流的拓扑结构“无芯涡旋”。通过注意到旋量玻色凝聚与各向异性超流体氦 3A 具有密切的相似性，这种各向异性性质已在光偏振效应的背景下进行了检查。具体来说，Famday 旋转对于铁磁体状态（自旋排列状态）是预期的。关于光偏振理论，已经给出了非线性双折射介质斯托克斯参数动力学的一般公式10。关键词

项目成果

Hinshi Kumtsuji: "Bose Condensate with Spin : Vortex State and light Polarizzation Effedt"Memoirs of the Institute of Science and Engineenng, Ritsumeikan University. Vol.62. 85-95 (2004)

Hinshi Kumtsuji：“带有自旋的玻色凝聚：涡旋状态和光偏振效应”立命馆大学理工学院回忆录。

Hiroshi Kuratsuji: "Atomic Bose Condensate with a Spin Structure The Use of the Bloch State"Lecture Notes in Physics. Vol 57. 438-445 (2001)

Hiroshi Kuratsuji：“具有自旋结构的原子玻色凝聚、布洛赫态的使用”物理学讲义。

Hinshi Kumtsuji: "Atomic Bose Condensate with a Spin Structure : The Use of the Bloch State"lectuie Note in Physks. Vol.57. 438-445 (2001)

Hinshi Kumtsuji：“具有自旋结构的原子玻色凝聚：布洛赫态的使用”Physks 中的讲义。

Hiroshi Kuratsuji: "Atomic Bose Condensate with a Spin Structure"Lecture Notes in Physics, Springer-Verlag. 571. 389-406 (2001)

Hiroshi Kuratsuji：“具有自旋结构的原子玻色凝聚”物理学讲义，施普林格出版社。

Hiroshi Kuratsuji: "Bose Condensate with Spin Vortex States and Ligt Polarization Effect"Memoirs of the Institute of Science and Engineering, Ritsumeikan University. Vol 62. 55-95 (2004)

仓辻浩：《具有自旋涡旋态和光偏振效应的玻色凝聚》立命馆大学理工学院回忆录。