The project DynIntDisQuant, funded by the LABEX PALM, aims at exploring the role and interplay of interactions and quenched disorder in the out of equilibrium dynamics of quantum many body systems.

The concept of thermodynamic equilibrium is one of the building block of our modern understanding of interacting classical and quantum many particle systems. Over the past decades this has proven to be an extremely useful point of view to describe a large variety of systems and their interaction with experimental probes. Yet, in many natural phenomena thermal equilibrium is more an exception than a rule.

For classical systems, the field of out of equilibrium statistical physics has been the subject of intense investigations in the past decades which have revealed complex emergent phenomena resulting out of competing interactions, non linearities and disorder. Examples along these lines include slow dynamics and aging in glasses and other amorphous materials, pattern formation in fluids and turbulent transport.

As opposite, the study of dynamical and out of equilibrium phenomena in complex quantum systems is a much recent field. Indeed observing coherent quantum dynamics over sufficiently long time scales requires a suitable decoupling from other degrees of freedom, a condition which has been experimentally achieved only very recently. A number of intriguing questions naturally arises in this context. What are the universal principles governing this quantum evolution? Do isolated quantum systems have slow dynamics and aging as classical dissipative systems? How does relaxation to thermal equilibrium eventually emerges at long times? What physical mechanisms can trigger or inhibit such thermalization? Are there quantum analogs of classical glasses?