Decay of a quantized vortex tangle at a very low temperature

量子化涡旋缠结在极低温度下的衰变

• 批准号: 12640357
• 负责人: TSUBOTA Makoto
• 金额: $ 1.02万
• 依托单位: Osaka City University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640357/
• 关键词: Superfluid helium; Quantized vortex; Superfluid turbulence; Bose-Einstein condensation; Gross-Pitaevskii equation; Kolmogorov law; 渦格子; コルモゴロフ則; 中性原子気体; カスケード過程; 再結合; 渦糸近似

We studied theoretically and numerically the vortex dynamics in superfluid helium and Bose-Einsteincondensate of Alkali atomic gas. The obtained results are the following.Superfluid helium : We studied the energy spectrum of superfluid turbulent state, thus finding the Kolmogorov -5/3 law which is the most important statistical law in classical turbulence. The diffusion of a vortex tangle is studied. The vortex tangle under rotation was found to be polarized along the rotational axis.Alkali atomic Bose-Einstein condensate : By studying numerically the Gross-Pitaevskii equation under rotation, we found that the condensate undergoes elliptic deformation, followed by unstable surface-mode excitations before forming a quantized vortex lattice; the results are qualitatively consistent with the experimental results.

本文对超流氦和碱原子气体玻色-爱因斯坦凝聚体中的涡旋动力学进行了理论和数值研究。得到的结果如下：超流氦：研究了超流湍流态的能谱，得到了经典湍流中最重要的统计规律Kolmogorov-5/3定律。研究了涡旋缠结的扩散问题。实验结果表明，旋转条件下的涡旋纠缠沿旋转轴沿着极化。碱原子玻色-爱因斯坦凝聚：通过数值研究旋转条件下的Gross-Pitaevskii方程，发现凝聚体在形成量子化涡旋晶格之前经历了椭圆变形，随后经历了不稳定的表面模激发，结果与实验结果定性一致。

项目成果

坪田 誠 他10名: "バリティブックス レーザー冷却がひらく原子波の世界"丸善(勝本信吾責任編集). 165 (2003)

Makoto Tsubota 等 10 人：“Variti Books 激光冷却打开原子波的世界”Maruzen（责任编辑：Shingo Katsumoto）165 (2003)。

K. Kasamatsu, Y. Yasui and M. Tsubota: "Macroscopic quantum tunneling of two-component Bose-Einstein condensate"Phys. Rev. A. 64,053605. (2002)

K. Kasamatsu、Y. Yasui 和 M. Tsubota：“二元玻色-爱因斯坦凝聚体的宏观量子隧道效应”Phys。

S.K.Nemirovskii, M.Tsubota, T.Araki: "Energy Spectrum of the Random Velocity Field Induced by a Gaussian Vortex Tangle in Hell"Journal of Low Temperature Physics. 126 3/4. 1535-1540 (2002)

S.K.Nemirovskii、M.Tsubota、T.Araki：“地狱中高斯涡旋缠结引起的随机速度场的能谱”低温物理学杂志。

T.Araki, M.Tsubota, S.K.Nemirovski: "Energy Spectrum of Superfluid Turbulence with No-Nomal-fluid component"Phys. Rev. Lett.. 89. 145301-1-145301-4 (2002)

T.Araki、M.Tsubota、S.K.Nemirovski：“具有非正常流体成分的超流体湍流的能谱”Phys。

M.Tsubota, T.Araki, S.K.Nemirovski: "Dynamic of vortex tangle without mutual friction in superfluid ^4He"Phys. Rev. B. 62. 11751-11762 (2000)

M.Tsubota、T.Araki、S.K.Nemirovski：“超流体 ^4He 中无相互摩擦的涡旋缠结动力学”Phys。