2020/01/08 by Pavel A. Andreev, Andreev, Pavel A. · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Quantum, superfluid, helium dynamics #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.2001.02764
27 pages
arxiv created 2020/01/08 · arxiv updated 2020/01/10
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.