The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

Abstract

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.

5 pages, 1 figure

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• Complex scaling flows in the quench dynamics of interacting particles
• Transport in p-wave interacting Fermi gases
• Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
• Bulk viscosity of dual Bose and Fermi gases in one dimension
• Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
• Bulk viscosity of resonantly interacting fermions in the quantum virial expansion
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity