Spin and Heat Transport from Linear Hydrodynamic Modes

The transport properties of strongly interacting Fermi gases provide test cases for theories of strongly correlated fermion systems. Uniform-density Fermi gases in box traps allow accurate measurements of linear transport properties through observation of small-amplitude hydrodynamic modes. The time-evolution of the hydrodynamic variables of a uniform fluid can be described using a first-order system of differential equations for their spatial Fourier coefficients. I will present a matrix formulation of the hydrodynamic modes in a two-component Fermi gas. In the normal state, the modes comprise sound, heat, and spin modes. The spin and heat modes become coupled in the presence of spin imbalance due to non-zero spin Peltier and spin Seebeck coefficients. I will present a proposed protocol for measuring the fundamental transport coefficients for coupled spin and heat transport from the observable parameters of the hydrodynamic modes in a spin-imbalanced Fermi gas and describe ongoing experimental work.