Quantum dynamical maps provide suitable mathematical representation of quantum evolutions. When representing quantum states by density operators, the evident …
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 …
Discoveries in quantum materials, which are characterized by the strongly quantum- mechanical nature of electrons and atoms, have revealed exotic properties that arise from …
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 …
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 …
Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics, and quantum computation. We derive a …
Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently …
Excitation transfer through interacting systems plays an important role in many areas of physics, chemistry, and biology. The uncontrollable interaction of the transmission network …
We analyze two recently proposed measures of non-Markovianity: one based on the concept of divisibility of the dynamical map and the other one based on distinguishability of …