# Objectivity in non-Markovian spin-boson model

## TL;DR

This paper investigates how objectivity, a key feature of the classical world, emerges from quantum mechanics in a non-Markovian spin-boson model by analyzing the formation of Spectrum Broadcast Structures.

## Contribution

It explores the emergence of Spectrum Broadcast Structures in a non-Markovian spin-boson model, linking quantum-to-classical transition mechanisms with non-Markovian dynamics.

## Key findings

- Spectrum Broadcast Structures can form in non-Markovian regimes.
- Non-Markovian effects influence the emergence of objectivity.
- The model provides insights into quantum-to-classical transition processes.

## Abstract

Objectivity constitutes one of the main features of the macroscopic classical world. An important aspect of the quantum-to-classical transition issue is to explain how such a property arises from the microscopic quantum world. Recently, within the framework of open quantum systems, there has been proposed such a mechanism in terms of the, so-called, Spectrum Broadcast Structures. These are multipartite quantum states of the system of interest and a part of its environment, assumed to be under an observation. This approach requires a departure from the standard open quantum systems methods, as the environment cannot be completely neglected. In the present work we study the emergence of such a state-structures in one of the canonical models of the condensed matter theory: Spin-boson model, describing the dynamics of a two-level system coupled to an environment made up by a large number of harmonic oscillators. We pay much attention to the behavior of the model in the non-Markovian regime, in order to provide a testbed to analyze how the non-Markovian nature of the evolution affects the surfacing of a spectrum broadcast structure.