Dipol Fermi Gases

量子简并费米气体通过各向异性和长程偶极-偶极相互作用（DDI）相互作用的研究是目前冷原子研究中一个令人兴奋和快速发展的分支。最近的实验进展，在捕获，冷却和控制极性分子与大的电偶极矩促使我们发展一个变分的时间依赖性Hartree-Fock理论，以确定静态和动态的非超流性质的这种系统在低温流体动力学制度，在频繁的碰撞，确保当地的平衡。由于超流相是偶极费米气体中最有趣的制度，我们的目标是分析它们的旋转特性，因为这将允许检测DDI诱导的各向异性超流性的指纹。此外，通过施加电场进行碰撞控制的前景表明，在有限温度下将我们的方法扩展到Boltzmann-Vlasov理论，以便可以从无碰撞到流体动力学状态描述偶极费米气体。最后，鉴于许多正在进行的实验，我们还将推广我们的理论，包括旋度自由度的影响。事实上，微妙的相互作用的DDI和短程和各向同性的接触在这些系统中的相互作用，预计将导致新的异国情调的阶段。

The quest for quantum degenerate Fermi gases interacting through the anisotropic and long-range dipole-dipole interaction (DDI) represents at present an exciting and fast developing branch within the cold-atoms research program. Recent experimental progress in trapping, cooling, and controlling polar molecules with large electric dipole moments has motivated us to develop a variational time-dependent Hartree-Fock theory for determining both the static and dynamic non-superfluid properties of such systems in the low-temperature hydrodynamic regime, where frequent collisions assure the equilibrium locally. Since the superfluid phase is the most interesting regime in dipolar Fermi gases, we aim at analyzing their rotational properties as this would allow to detect fingerprints of DDI-induced anisotropic superfluidity. Furthermore, prospects for collisional control through applied electric fields suggest to extend our approach within the project to a Boltzmann-Vlasov theory at finite temperature, so that dipolar Fermi gases can be described all the way from the collisionless to the hydrodynamic regime. Finally, in view of many on-going experiments, we shall also generalize our theory to include the effects of spinorial degrees of freedom. Indeed, the delicate interplay of the DDI and the short-range and isotropic contact interaction in these systems is expected to lead to new exotic phases.