On the non-Markovianity of quantum semi-Markov processes

Quantum semi-Markov processes.

We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow t...

The KTH Visit in Semi-Markov Processes

Non-Markovianity hinders Quantum Darwinism

We investigate Quantum Darwinism and the emergence of a classical world from the quantum one in connection with the spectral properties of the environment. We use a microscopic model of quantum environment in which, by changing a simple system parameter, we can modify the information back flow from environment into the system, and therefore its non-Markovian character. We show that the presence...

the kth visit in semi-markov processes

Concepts of quantum non-Markovianity: a hierarchy

Markovianity is easy to define for classical stochastic processes, and corresponds to the notion that the future evolution of a system does not depend on its detailed dynamical history, but only on its current state. In contrast, due to the noncommutativity of quantum observables even for the same observable at different times there are many possible quantum generalisations. A general consensus...