We present an extensive introduction to quantum collision models (CMs), also known as
repeated interactions schemes: a class of microscopic system–bath models for investigating …

Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

Markovian approximation is a widely-employed idea in descriptions of the dynamics of open
quantum systems (OQSs). Although it is usually claimed to be a concept inspired by …

It is control that turns scientific knowledge into useful technology: in physics and engineering
it provides a systematic way for driving a dynamical system from a given initial state into a …

We present a comprehensive and up-to-date review of the concept of quantum non-
Markovianity, a central theme in the theory of open quantum systems. We introduce the …

Quantum heat engines (QHE) are thermal machines where the working substance is a
quantum object. In the extreme case, the working medium can be a single particle or a few …

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a
standard assumption across all of the physical sciences. The Gibbs state is determined just …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

Any physical process can be represented as a quantum channel map** an initial state to a
final state. Hence it can be characterized from the point of view of communication theory, ie …

We introduce the multipartite collision model, defined in terms of elementary interactions
between subsystems and ancillas, and show that it can simulate the Markovian dynamics of …