Generic Quantum Markov Semigroups With Instantaeous states

Franco Fagnola

Hisao Watanabe, Franco Fagnola

Raffaella Carbone, Emanuela Sasso, Veronica Umanità

In this paper, we study some relevant properties of generic quantum Markov semigroups, in particular related to their asymptotic behavior. We can describe the structure of the set of fixed points and of the invariant states in terms of the Hamiltonian’s spectrum and of the communication classes of the classical Markov process associated with the diagonal part of the semigroup. Moreover we study the decoherence-free algebra and we complete the characterization of environmental decoherence for a generic quantum Markov semigroup.

Francesco Ticozzi, S. G. Schirmer, Xiaoting Wang

Rocco Duvenhage, Machiel Snyman

Skander Hachicha, Ikbel Nasraoui

We consider quantum Markov semigroups arising from the weak coupling limit of a system with generic Hamiltonian coupled to a boson Fock zero temperature reservoir. We find all the invariant states of a generic quantum Markov semigroup and compute explicitly the limit invariant state explicitly starting from an arbitrary initial state. We also show that convergence is exponentially fast under some natural assumptions.