论文标题
局部能量密度可用于有效田间理论的超流体费米气体
Local energy density functional for superfluid Fermi gases from effective field theory
论文作者
论文摘要
在过去的二十年中，密度功能理论上下文中的许多研究揭示了许多可以在实验中模拟的构型中强相关的超流体量子系统的新方面和特性。 Bulgac在[Phys。 Rev. C 65，051305，（2002），物理。 Rev. A 76，040502，（2007）]。在介绍的工作中，我们提出了超级流体局部密度近似系统改进的扩展，适用于摆脱功能参数的拟合过程的大量多体量子问题。事实证明，只有对准粒子特性的密度依赖性的知识，即化学势，有效质量和配对间隙函数，足以获得密度的显式，准确的局部功能，而无需任何调整后的porteriori。这为密度功能理论的有效田间理论的表述开辟了道路，即我们获得了该理论中作为配对差距函数的一系列功能参数的普遍扩展。最后，我们讨论开发方法的可能应用，允许对实验观察的精确分析。在这种情况下，我们将应用集中在超氟涡流的静态结构属性上。
Over the past two decades, many studies in the Density Functional Theory context revealed new aspects and properties of strongly correlated superfluid quantum systems in numerous configurations that can be simulated in experiments. This was made possible by the generalization of the Local Density Approximation to superfluid systems by Bulgac in [Phys. Rev. C 65, 051305, (2002), Phys. Rev. A 76, 040502, (2007)]. In the presented work, we propose an extension of the Superfluid Local Density Approximation systematically improvable and applicable to a large range of many-body quantum problems getting rid of the fitting procedures of the functional parameters. It turns out that only the knowledge of the density dependence of the quasi-particle properties, namely, the chemical potential, the effective mass, and the pairing gap function, are enough to obtain an explicit and accurate local functional of the densities without any adjustment a posteriori. This opens the way toward an Effective Field Theory formulation of the Density Functional Theory in the sense that we obtain a universal expansion of the functional parameters entering in the theory as a series in pairing gap function. Finally, we discuss possible applications of the developed approach allowing precise analysis of experimental observations. In that context, we focus our applications on the static structure properties of superfluid vortices.
