# Markovian and non-Markovian dynamics induced by a generic environment

## TL;DR

This paper investigates the dynamics of a quantum two-level system interacting with a complex environment modeled by random matrices, analyzing various measures of quantum Markovianity across different regimes.

## Contribution

It provides a comprehensive analysis of Markovian and non-Markovian dynamics using random matrix environments and evaluates the practical applicability of various non-Markovianity measures.

## Key findings

- Wide range of dynamical regimes identified from Markovian to non-Markovian.
- All non-Markovianity measures require careful statistical analysis due to fluctuations.
- Practical usefulness of different measures discussed.

## Abstract

We study the open dynamics of a quantum two-level system coupled to an environment modeled by random matrices. Using the quantum channel formalism, we investigate different quantum Markovianity measures and criteria. A thorough analysis of the whole parameter space, reveals a wide range of different regimes, ranging from strongly non-Markovian to Markovian dynamics. In contrast to analytical models, all non-Markovianity measures and criteria have to be applied to data with fluctuations and statistical uncertainties. We discuss the practical usefulness of the different approaches.