Time evolution of entangled biatomic states in a cavity

TL;DR

This paper investigates how entangled states of two identical atoms evolve over time within a spherical cavity, revealing different behaviors depending on cavity size using a dressed-state approach.

Contribution

It introduces a detailed analysis of entanglement dynamics in a cavity for both large and small sizes using the dressed-state method.

Findings

Entanglement exhibits distinct evolution patterns in large versus small cavities.

The dressed-state approach effectively models the time evolution of entangled atomic states.

The study provides insights into cavity size effects on quantum entanglement dynamics.

Abstract

We study the time evolution of entangled states of a pair of identical atoms, considered in the harmonic approximation, coupled to an environment represented by an infinite set of free oscillators, with the whole system confined within a spherical cavity of radius $R$. Taking the center-of-mass and the relative-position coordinates, and using the dressed-state approach, we present the time evolution of some quantities measuring the entanglement, for both limits of a very large and a small cavity; the chosen examples are simple and illustrate these very distinct behaviors.