Characterization of Attraction Domains for Generic Quantum Semigroups

In my talk I will present the topics covered during my theses work, concerning problems linked to decoherence and asymptotic evolution of Quantum Markov Semigroups. More precisely I will introduce the subclass of Generic Quantum Semigroups and show existing results characterizing their decoherence-free subalgebra and their invariant states. Eventually I will show the results we obtained regarding attraction domains of invariant states, a topic closely related to the asymptotic behaviour of any state undergoing system evolution.