Viscous flow in a one-dimensional spin-polarized Fermi gas: The role of integrability on viscosity

The transport properties of one-dimensional Fermi gases at low temperatures are often described by the Luttinger liquid (LL) model. However, to study dissipative effects, one needs examine interactions beyond LL In this work, we provide a simple model that allows for direct microscopic calculation bulk viscosity, namely, spin polarized $p$-wave gas. To leading order in finite interaction strength, find viscosity is and consistent with requirement scale symmetry. We further show satisfies Bose-Fermi duality relating weakly interacting limit gas strongly Lieb-Liniger vice versa. This work establishes scale-breaking both limits high temperatures.