Seminarium Fizyki Materii Skondensowanej

I will consider an integrable model of a mobile impurity propagating in a one-dimensional gas of free fermions. It is the simplest yet fundamental model capturing the peculiar physics and mathematics of the non-equilibrium processes. The integrability allows one to obtain a complete nonperturbative solution and express physical quantities in terms of the Fredholm determinants. After a detailed analysis of these determinants, I will discuss several striking physical phenomena, such as incomplete relaxation, Bloch oscillations, and momentum-dependent impurity statistics.