# Evolution of open quantum systems: time scales, stochastic and continuous processes

## TL;DR

This paper reviews the dynamics of open quantum systems, focusing on various interaction types with environments, including Markovian and non-Markovian processes, and compares different theoretical approaches to their evolution.

## Contribution

It provides a comprehensive overview of the different physical and mathematical frameworks used to describe open quantum systems and their diverse dynamical behaviors.

## Key findings

- Characterization of Markovian and non-Markovian dynamics
- Comparison of approaches for describing quantum system evolution
- Analysis of divisible and non-divisible interactions with environments

## Abstract

The study of the physical properties of open quantum systems is at the heart of many present investigations which aim to describe their dynamical evolution, on theoretical ground and through physical realizations. Here we develop a presentation of different aspects which characterize these systems and confront different physical situations which can be realized leading to systems which experience Markovian, non-Markovian, divisible or non-divisible interactions with the environments to which they are dynamically coupled. We aim to show how different approaches describe the evolution of quantum systems subject to different types of interactions with their environments.