# The role of information back-flow in the emergence of quantum Darwinism

## TL;DR

This paper investigates how information back-flow and non-Markovian effects influence the emergence of quantum Darwinism, revealing a correlation between memory effects in the environment and objective state formation.

## Contribution

It introduces a model analyzing local interactions between a quantum system and a multi-mode environment, highlighting the link between non-Markovianity and quantum Darwinism.

## Key findings

- Non-Markovianity correlates with the emergence of quantum Darwinism.
- Environmental information trapping affects objectification.
- Model demonstrates interplay between information propagation and back-flow.

## Abstract

Quantum Darwinism attempts to explain the emergence of objective reality of the state of a quantum system in terms of redundant information about the system acquired by independent non interacting fragments of the environment. The consideration of interacting environmental elements gives rise to a rich phenomenology, including the occurrence of non-Markovian features, whose effects on objectification {\it a' la} quantum Darwinism needs to be fully understood. We study a model of local interaction between a simple quantum system and a multi-mode environment that allows for a clear investigation of the interplay between information trapping and propagation in the environment and the emergence of quantum Darwinism. We provide strong evidence of the correlation between non-Markovianity and quantum Darwinism in such a model, thus providing strong evidence of a potential link between such fundamental phenomena.