The dynamical behavior of open quantum systems plays a key role in many applications of
quantum mechanics, examples ranging from fundamental problems, such as the …

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 …

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 …

To write an introduction to the dynamics of open quantum systems may seem at first a
complicated, albeit perhaps unnecessary, task. On the one hand, the field is quite broad and …

We construct a general measure for the degree of non-Markovian behavior in open quantum
systems. This measure is based on the trace distance which quantifies the distinguishability …

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

The problem of how complex quantum systems eventually come to rest lies at the heart of
statistical mechanics. The maximum-entropy principle describes which quantum states can …

We address the problem of quantifying the non-Markovian character of quantum time
evolutions of general systems in contact with an environment. We introduce two different …

Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

In Floquet engineering, periodic driving is used to realize novel phases of matter that are
inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe …