Many body seminar: Hydrodynamics of weak integrability breaking

Alvise Bastianello (TUM): Integrability is a cornerstone in our understanding of out-of-equilibrium and transport in one-dimensional quantum systems.

Alvise Bastianello (TUM)
Group meeting (hybrid format B2.46 / zoom)
Thu, 5 May, 2022, 11:00 am (MEZ)

Abstract:

Integrability is a cornerstone in our understanding of out-of-equilibrium and transport in one-dimensional quantum systems. On the one hand, integrable models feature exotic nonequilibrium behavior, on the other hand they provide one of the few examples of strongly interacting systems analytically solvable at the many-body level. As such, these systems have been regarded as convenient toy models, but of narrow relevance and plagued by omnipresent integrability-breaking perturbations.
The advent of Generalized Hydrodynamics greatly broadened integrability's range of applicability, knocking at the door of the most recent experiments. In this talk, I will present an overview of these methods with emphasis on describing integrable-breaking effects. For pedagogical reasons, I will mostly focus on the interacting Bose gas, discussing trapped-induced thermalization and bound states formation in the attractive regime.

Ref: A. Bastianello, A. De Luca, R. Vasseur, J. Stat. Mech. (2021) 114003 [Review paper]