Navier-Stokes equations for nearly integrable quantum gases

Zoom link: https://us06web.zoom.us/j/84410325975?pwd=d3Rwa3FaeHk3dG1CMk1TVHNJeFZlQT09

Abstract

Hydrodynamics is an effective theory which describes non-equilibrium dynamics at large scales of space and time. The famous Navier-Stokes equations have a universal form and the microscopic details of the model enter only through transport coefficients, which are non-trivial to calculate. In my talk, I will recall classic results from kinetic theory regarding derivation of Navier-Stokes equations and calculation of transport coefficients for weakly interacting classical gas. Then, I will show that these methods can be generalized to the case of nearly integrable models, which are strongly correlated. Our solution builds on the exactly known thermodynamics and hydrodynamics of integrable systems and can be understood as a perturbation theory around interacting, integrable models.