Counterflow instability and turbulence in a spin-1 spinor Bose-Einstein condensate
Counterflow instability and turbulence in a spin-1 spinor Bose-Einstein condensate
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DOI：
10.1103/physreva.85.033642
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发表时间：
2011-12
影响因子：
2.9
通讯作者：
K. Fujimoto;M. Tsubota
中科院分区：
文献类型：
--
作者：
K. Fujimoto;M. Tsubota
我们通过 Gross-Pitaevskii 方程和 Bogoliubov-de Gennes 方程从理论上研究了自旋 1 旋量 Bose-Einstein 凝聚体中的逆流不稳定性和湍流。我们的研究考虑了（i）具有不同磁量子数的两个成分的逆流引起的动力学，这导致具有自旋自由度的湍流，以及（ii）湍流的性质。对于 (i)，逆流引起的凝聚态的行为很大程度上取决于自旋相关相互作用是铁磁还是反铁磁，导致色散关系和自旋密度矢量 $etc$ 的不同行为。对于（ii），我们数值计算了自旋相关相互作用能的谱，该谱也取决于自旋相关相互作用。铁磁情况下自旋相关相互作用能的谱表现出-7/3幂律，而反铁磁情况下则不然。 -7/3幂律可以通过标度分析来解释。
We theoretically study counterflow instability and turbulence in a spin-1 spinor Bose--Einstein condensate by the Gross--Pitaevskii equation and the Bogoliubov--de Gennes equation. Our study considers (i) the dynamics induced by the counterflow of two components with different magnetic quantum numbers, which leads to turbulence with spin degrees of freedom, and (ii) the properties of the turbulence. For (i), the behavior of the condensate induced by the counterflow strongly depends on whether the spin-dependent interaction is ferromagnetic or antiferromagnetic, leading to different behaviors for the dispersion relation and the spin density vector, $etc$. For (ii), we numerically calculate the spectrum of the spin-dependent interaction energy, which also depends on the spin-dependent interaction. The spectrum of the spin-dependent interaction energy in the ferromagnetic case exhibits a -7/3 power law, whereas that in the antiferromagnetic case does not. The -7/3 power law can be explained by scaling analysis.