论文标题
退化的延长流体动力学部分旋转极化费物,而短距离相互作用则通过相互作用半径近似为三阶
Extended hydrodynamics of the degenerate partially spin polarized fermions with the short-range interaction up to the third order by the interaction radius approximation
论文作者
论文摘要
描述了通过模型的显微镜推导对超低费物进行流体动力描述的可能性。衍生和比较了不同截短的流体动力模型。所有模型均基于微观多粒子schrödinger方程。考虑了基于连续性和EULER方程的最小耦合模型。得出了包括动量通量(压力演化)的独立动力学的扩展流体动力学模型。描述了自旋极化的影响。在各向同性极限中考虑了短距离相互作用。相互作用的相互作用半径视为三阶的相互作用。因此,在本文中正在考虑使用Spin-1/2 Fermions的单流体模型和Spin-1/2 Fermions的两个流体模型。散装集体激发的光谱是根据不同模型得出和比较的。
A possibility of the hydrodynamic description of ultracold fermions via the microscopic derivation of the model is described. Differently truncated hydrodynamic models are derived and compared. All models are based on the microscopic many-particle Schrödinger equation. Minimal coupling model based on the continuity and Euler equations are considered. The extended hydrodynamic model including the independent dynamics of the momentum flux (the pressure evolution) is derived. Influence of the spin polarization is described. The short-range interaction is considered in the isotropic limit. The interaction is considered up to the third order by the interaction radius. Therefore, the single fluid model of spin-1/2 fermions and the two fluid model of spin-1/2 fermions are under consideration in this paper. Spectra of bulk collective excitations are derived and compared in terms of different models.