Field theory of dissipative quantum systems
Abstract:
The lectures aim at providing a crash course knowledge of Keldysh field theory for dissipative quantum many body systems. We will start with an overview of the dynamics of open quantum models in Lindblad form, to construct systematically a field theory suited to describe non-equilibrium phenomena whose evolution is non unitary. The core of the lectures is represented by a broad number of applications ranging from quantum many body optics to solid state physics, including dynamics of condensed matter systems. In particular, we will analyse dissipative phase transitions in light-matter coupled models, dissipative quantum spin chains, and the dynamics of one-dimensional strongly correlated systems subject to local or global dissipative channels. The lectures will be in the format of a blackboard talk; focus will be on the mathematical constructions and on the physical effects, while some elementary technical aspects will be left to the audience as exercises.