Dynamics of non-Markovian open quantum systems

I De Vega, D Alonso - Reviews of Modern Physics, 2017 - APS
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 …

Dynamical maps beyond Markovian regime

D Chruściński - Physics Reports, 2022 - Elsevier
Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Colloquium: Non-Markovian dynamics in open quantum systems

HP Breuer, EM Laine, J Piilo, B Vacchini - Reviews of Modern Physics, 2016 - APS
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 …

Quantum non-Markovianity: characterization, quantification and detection

Á Rivas, SF Huelga, MB Plenio - Reports on Progress in Physics, 2014 - iopscience.iop.org
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 …

Comparative study of non-Markovianity measures in exactly solvable one-and two-qubit models

C Addis, B Bylicka, D Chruściński, S Maniscalco - Physical Review A, 2014 - APS
In this paper we present a detailed critical study of several recently proposed non-
Markovianity measures. We analyze their properties for single-qubit and two-qubit systems …

Collision model for non-Markovian quantum dynamics

S Kretschmer, K Luoma, WT Strunz - Physical Review A, 2016 - APS
We study the applicability of collisional models for non-Markovian dynamics of open
quantum systems. By allowing interactions between the separate environmental degrees of …