Class of exactly solvable models of open quantum systems strongly interacting with a reservoir

In this talk, we discuss a general wide class of open quantum systems strongly interacting with a dilute quantum reservoir via interaction of scattering type which is quadratic in creation and annihilation boson reservoir operators. For this class of systems, the total dynamics of the system and the reservoir becomes exactly solvable in some limit and becomes described, instead of the Schrodinger equation, by a quantum stochastic differential equation (QSDE) with quantum Poisson process. The key point for obtaining the QSDE and exact solvability is that while the interaction of the system with the reservoir is generally strong (no weak coupling assumption), the reservoir is dilute.