Quantum dynamics of open systems is a generic paradigm that has been widely discussed in research fields ranging from atomic and optical physics to condensed matter physics and to quantum information science. It becomes  clear that a deep understanding of the effects of environments on a quantum  system such as the mechanisms of decoherence and the dynamics of entanglement in the framework of quantum open systems is both of fundamental interest in quantum foundation issues and of practical importance in quantum information sciences. The mastery of quantum coherence and entanglement control is the key to the success of quantum design and engineering.

In this talk I will present highlights of our recent work on several key issues in stochastic dynamics of non-Markovian quantum systems including many-body dynamics, quantum control and quantum diffusive dynamics.