Dynamics of Atom-Atom Correlations in the Fermi problem

TL;DR

This paper investigates how different atom-atom quantum correlations develop over time in the Fermi problem, highlighting the influence of the light cone on their emergence.

Contribution

It provides a detailed perturbative analysis of various quantum correlations in the Fermi problem, emphasizing the role of the light cone in their dynamics.

Findings

Correlations such as entanglement and discord are generated during atom interactions.

The light cone plays a crucial role in the emergence of correlations.

Different types of correlations exhibit distinct temporal behaviors.

Abstract

We present a detailed perturbative study of the dynamics of several types of atom-atom correlations in the famous Fermi problem. This is an archetypal model to study micro-causality in the quantum domain where two atoms, the first initially excited and the second prepared in its ground state, interact with the vacuum electromagnetic field. The excitation can be transferred to the second atom via a flying photon and various kinds of quantum correlations between the two are generated during this process. Among these, prominent examples are given by entanglement, quantum discord and nonlocal correlations. It is the aim of this paper to analyze the role of the light cone in the emergence of such correlations.