Physics (Internal)

Quenched Dynamics in Interacting one-dimensional systems

This event is part of the Biophysics/Condensed Matter Seminar Series.

Abstract:
Due to experiments in cold-atomic gases, the problem of
quenched dynamics which is the study of the time evolution of interacting systems arising due to sudden change in system parameters has become a topic of great current interest. In this talk I will present results for the time-evolution of some 1-dimensional models and first show how various non-thermal steady states can arise at long times, at least for simple non-interacting models such as the XX spin-chain and the Luttinger liquid. Next I will put in interactions which will be treated within a perturbative renormalization group approach. Here I will show that even infinitesimally weak interactions generate a dissipation (and hence a finite lifetime for the modes), and also a finite temperature. However the notion of the temperature even with interactions can be quite subtle as it can depend in a non-trivial way on both the frequency as well as the momenta of the modes.