Out of equilibrium integrable systems: Overlaps and Quench Action logic.
by
Jacopo De Nardis
→
Europe/Rome
248 (Building C, First Floor)
248
Building C, First Floor
Description
In this talk we review the recent thermodynamical approach to problems in non equilibrium quantum integrable systems. This method, which we denote as "quench action logic" requires a "smoothened" version of the overlaps between the eigenstates of the system and the initial state and presents some similarities and some discordances with the most celebrated tool to compute long time dynamics for integrable systems, the Generalized Gibbs Ensemble. We show how this is related to quenches which change macroscopically the state of the system in contrast with quenches which allow the system to explore only a finite range of the Hilbert space. In particular we will focus on the interaction quench in the Lieb-Liniger model with some connections to other interaction quenches in the XXZ spin chain.
