Non-equilibrium entanglement in a driven Dicke model

TL;DR

This paper investigates how entanglement evolves in a driven Dicke model at the thermodynamic limit, revealing a strong link between system stability and entanglement dynamics using linear entropy.

Contribution

It provides a detailed analysis of non-equilibrium entanglement in a driven Dicke model, highlighting the relationship between dynamical stability and entanglement behavior.

Findings

Entanglement correlates with the stability of dynamical parameters.

Linear entropy effectively measures bipartite entanglement.

Ground state correlations depend on system resonance and driving.

Abstract

We study the entanglement dynamics in the externally-driven single-mode Dicke model in the thermodynamic limit, when the field is in resonance with the atoms. We compute the correlations in the atoms-field ground state by means of the density operator that represents the pure state of the universe and the reduced density operator for the atoms, which results from taking the partial trace over the field coordinates. As a measure of bipartite entanglement, we calculate the linear entropy, from which we analyze the entanglement dynamics. In particular, we found a strong relation between the stability of the dynamical parameters and the reported entanglement.