Title: Quantum Transport and Eigenstate Thermalisation

Abstract: How irreversible thermodynamics emerges from the unitary dynamics of the Schrödinger equation is a question that has been asked since the inception of quantum theory itself.  One modern take on the issue is the Eigenstate Thermalisation Hypothesis. In this talk  I will give a pedagogical introduction to the Eigenstate thermalisation hypothesis with special emphasis on the connection between off diagonal matrix elements of local observables and quantum transport. I will then give an overview and discussion of results from some recent works coming from the TCD group on the topic – in particular exploring integrality breaking with local perturbation.

Talk – Video

Talk – Slides