Fermi’s liquid theory is a paradigm of the N-body problem. Indeed, this theory, developed by Landau in 1958, describes the behavior of many Fermi systems, the most famous example being Helium 3. Fermi liquid theory predicts the existence of 2 branes, the zero brane and the first brane, which correspond to a non-collisional and hydrodynamic boundary respectively. This was first described by ABRIKOSOV and KHALATNIKOV in 1958, using the relaxation time approximation, in their study of the crossover between zero and first sound in helium-3, valid at both low and high temperatures. However, with the rise of cold atom experiments in recent years, it is necessary to go beyond the relaxation time approximation. In this presentation, I will show how to go beyond the relaxation time approximation, and present some preliminary results.
Host: Nir Navon (nir.navon@yale.edu)