Tomographic Transport and Scale-Dependent Viscosity in Atomic Quantum Gases

Two-dimensional Fermi liquids have received renewed attention due to the presence of a novel transport regime known as the tomographic limit. This limit sits between the well-known collisionless and hydrodynamic regimes and gives unique predictions for the transport due to transverse probes. Although this was originally proposed in the context of electron hydrodynamics, this effect only relies on the kinematic constraints of quasiparticle scattering at low temperatures, and as such equally extends to cold atomic gasses of Fermions. In this talk, we show that this transport regime is accessible in current cold atom experiments and leads to anomalous damping of the quadrupole mode in harmonically trapped two-dimensional Fermi gasses. This opens the possibility of studying the tomographic limit not only as a function of temperature, but also along the BCS-BEC crossover.