Exact Results for One-Dimensional Mobile Impurity

Explore an in-depth lecture on the exact results for one-dimensional mobile impurity presented by Dr. Oleksandr Gamayun from the Faculty of Physics at Warsaw University. Delve into the intricacies of an integrable model depicting a mobile impurity propagating in a one-dimensional gas of free fermions. Discover how this fundamental model captures the unique physics and mathematics of non-equilibrium processes. Learn about the complete nonperturbative solution enabled by integrability, expressing physical quantities through Fredholm determinants. Examine striking physical phenomena such as incomplete relaxation and momentum-dependent impurity statistics. Understand the universal properties of one-dimensional systems described by the nonlinear Luttinger liquid (nLL). Gain insights into the microscopic derivation of nLL from form factors and its generalization to finite temperatures. This comprehensive Wednesday colloquium at CTP PAS offers a deep dive into advanced theoretical physics concepts over the course of 1 hour and 3 minutes.