Entropy production is a key quantity in any finite-time thermodynamic process. It is intimately
tied with the fundamental laws of thermodynamics, embodying a tool to extend …

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 …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

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 …

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 …

The study of open quantum systems often relies on approximate master equations derived
under the assumptions of weak coupling to the environment. However when the system is …

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 …

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 …

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