Entanglement and parametric resonance in driven quantum systems

TL;DR

This paper explores how entanglement dynamics in driven quantum oscillators are influenced by parametric resonance, revealing a direct link between resonance conditions and maximal entanglement.

Contribution

It establishes a novel connection between parametric resonance and entanglement growth, providing a quantitative relationship between system correlations and phase space localization.

Findings

Entanglement increases up to a maximum during parametric resonance.

A closed relationship links ground state correlations with phase space localization.

Maximal entanglement coincides with parametric resonance conditions.

Abstract

We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from which we study the entanglement dynamics. In particular, we find that the bipartite entanglement increases in time up to a maximal mixing scenario, when the set of auxiliary dynamical parameters are under parametric resonance. Moreover, we obtain a closed relationship between the correlations in the ground state, the localisation of the Wigner function in phase space, and the localisation of the wave function of the total system.