Nowadays it is becoming clearer and clearer that, in the description of natural phenomena,
the triadic scheme-microseopie, mesoscopic, macroscopic-is only a rough approximation …

We consider the general physical situation of a quantum system H _ 0 interacting with a
chain of exterior systems ⊗ _ N^* H, one after the other, during a small interval of time h and …

AN Kolmogorov and J. von Neumann proposed in the 30's two sets of axioms for the
mathematical modelling of random phenomena. In the classical (Kolmogorov) models one …

Quantum dynamical semigroups QDS appeared for the first time in the physical literature
during the 1970s motivated by studies on the evolution of open systems. This class of …

The exponential convergence to invariant subspaces of quantum Markov semigroups plays
a crucial role in quantum information theory. One such example is in bosonic error correction …

This article introduces a concept of transience and recurrence for a Quantum Markov
Semigroup and explores its main properties via the associated potential. We show that an …

We prove a limit theorem for quantum stochastic differential equations with unbounded
coefficients which extends the Trotter–Kato theorem for contraction semigroups. From this …

The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …

This paper deals with the asymptotic behavior of a quantum dynamical semigroup acting on
the algebra of all linear bounded operators on a given Hilbert space. In practice, all these …

We show that bipartite entanglement in an one-dimensional quantum spin model
undergoing time evolution due to local Markovian environments can be frozen over time. We …