标题： 相互作用费米子的加权哈特里-福克-博利乌布夫方法：超冷费米超流体的应用 显示英文标题

标题： Weighted Hartree-Fock-Bogoliubov method for interacting fermions: An application to ultracold Fermi superfluids

摘要： 几个十年以来，人们已经知道在散射长度发散的单位超流体中，基态能量和化学势会出现发散，这是由于粒子-空穴散射引起的。 主流教科书和研究文章承认存在严重问题，但由于缺乏能够正则化这些发散的方法而忽略了这些问题。 我们通过提出一种称为加权哈特里-福克-博戈留波夫理论的一般方法，解决了这一困难，以处理来自相同相互作用的多个分解通道。 我们将相互作用分布在由作用量最小化确定的加权通道中，并将这一想法应用于非极化的费米超流体。 使用我们的方法，我们解决了将相互作用分解为哈特里、福克和博戈留波夫通道方面的长期难题，得到了一个鞍点水平的相图，其中包含多通道非微扰修正。 特别是，我们发现了一种之前被忽略的弱相互作用超流相，该相主要由粒子-空穴过程主导，除了通常只包含粒子-粒子物理的超流相之外。 显示英文摘要

摘要： For several decades it has been known that divergences arise in the ground-state energy and chemical potential of unitary superfluids, where the scattering length diverges, due to particle-hole scattering. Leading textbooks and research articles recognize that there are serious issues but ignore them due to the lack of an approach that can regularize these divergences. We find a solution to this difficulty by proposing a general method, called the weighted Hartree-Fock-Bogoliubov theory, to handle multiple decomposition channels originating from the same interaction. We distribute the interaction in weighted channels determined by minimization of the action, and we apply this idea to unpolarized Fermi superfluids. Using our method, we solve a long-standing difficulty in the partitioning of the interaction into Hartree, Fock, and Bogoliubov channels for Fermi superfluids, and we obtain a phase diagram at the saddle-point level, which contains multichannel nonperturbative corrections. In particular, we find a previously overlooked superfluid phase for weak interactions, which is dominated by particle-hole processes, in addition to the usual superfluid phase only containing particle-particle physics.