On deriving a kinetic equation from many-body quantum dynamics
June 16 @ 16:15
Effectively describing the long-time dynamical behavior of quantum systems is a long-standing open problem. When the coupling constant λ of the interaction is small, the dynamics of the system up to kinetic time t ~ λ -2 is conjectured to be effectively governed by the Boltzmann-Nordheim kinetic equation. In this talk, we consider a system of weakly interacting lattice fermions at thermal equilibrium, and I will describe how the two-point time correlation function of the system depends on the equilibrium solution of the Boltzmann-Nordheim equation. We approach the problem using a perturbation expansion and represent the appearing terms by Feynman diagrams.
This is joint work with Phan Thành Nam, Herbert Spohn, and Minh-Binh Tran.