Many-body quantum systems in one dimension have many remarkable characteristics as compared to their higher-dimensional counterparts. On the formal side, advanced nonperturbative methods such as integrability can be used to compute their physical properties, which are nowadays accessible in real experiments on magnetic systems and cold atoms. Moreover, their relaxation and equilibration behaviour cannot be simply described by traditional textbook methods, and can lead to long-lived non-thermal equilibrium states. This talk will provide an overview of current research in this area, and introduce recently-discovered methods to treat quenched and driven systems in various experimentally-relevant contexts.

* Jean-Sébastien Caux, Institute of Physics, University of Amsterdam