Continuous-variable entanglement dynamics in Lorentzian environment

TL;DR

This paper investigates the complex entanglement dynamics of continuous-variable quantum systems in non-Markovian environments, deriving analytical formulas and revealing phenomena like entanglement sudden death and protection.

Contribution

It provides an analytical expression for entanglement of formation in non-Markovian settings without common approximations, highlighting how spectral density, temperature, and initial entanglement influence dynamics.

Findings

Observation of entanglement sudden death and revival

Environmental factors significantly affect entanglement behavior

Analytical formula for entanglement of formation in structured reservoirs

Abstract

We address the non-Markovian entanglement dynamics for bimodal continuous variable quantum systems interacting with two independent structured reservoirs. We derive an analytical expression for the entanglement of formation without performing the Markov and the secular approximations. We observe a variety of qualitative features such as entanglement sudden death, dynamical generation, and protection for two types of Lorentzian spectral densities, assuming the two modes initially excited in a twin-beam state. Our quantitative analysis shows that these cases with different reservoir spectrum, the environmental temperature and the initial amount of entanglement differ significantly in these qualitative features.