Open quantum systems: No quantum systems is entirely isolated from its
environment. This
basic yet important fact is ultimately responsible for classical
features to emerge in quantum systems. We work on how such classical
features arise and can lead to exact instances of decohering systems.
We are also interested in the mathematical foundations of the study of
the dynamics of open quantum systems, related to the theory of
dynamical semi-groups, asking for the degree of Markovianity of quantum
dynamics. A core interest recently in the context of quantum systems
interacting with complex baths is the study of quantum "mechanical"
effects in mechanical systems that are cooled by means of exploiting
radiation pressure.
For a comprehensive list of tutorials and review articles, see this link.