论文标题
有效范围在共同相互作用的费米气体中的作用：断裂尺度对称如何影响块状粘度
The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity
论文作者
论文摘要
我们调查了有效范围在$ S $和$ p $ - 波米气体的大量粘度中的作用。在共振时，有效范围的存在破坏了系统的规模不变性，因此导致了非零体粘度。但是，我们表明有效范围在两种情况下起着截然不同的作用。在$ s $波的情况下，有效范围的作用是扰动性的，其对大体粘度的贡献在零有效范围的极限下消失。另一方面，即使在零范围的限制下，$ p $ - 波弗米气体的有效范围也会导致非零散装粘度。我们设置了一般的图表方法，以计算包括有效范围的效果的大量粘度光谱函数。然后，我们在低温和高频下计算在高温极限下光谱函数的分析表达式。我们还得出了$ s $和$ p $ - 波气体的散装粘度光谱功能的总和规则。
We investigate the role of the effective range on the bulk viscosity of $s$- and $p$-wave Fermi gases. At resonance, the presence of the effective range breaks the scale invariance of the system, and hence results in a non-zero bulk viscosity. However, we show that the effective range plays a very different role in the two cases. In the $s$-wave case, the role of the effective range is perturbative, and its contribution to the bulk viscosity vanishes in the limit of zero effective range. On the other hand, the effective range in $p$-wave Fermi gases leads to a non-zero bulk viscosity, even in the zero-range limit. We setup the general diagrammatic approach to compute the bulk viscosity spectral function that includes the effects of the effective range. We then compute the analytic expressions for the spectral function in the high temperature limit, at low- and high-frequencies. We also derive the sum rules for the bulk viscosity spectral function for both $s$- and $p$-wave gases.
