Continuous variable entanglement dynamics in structured reservoirs

TL;DR

This paper provides an analytic study of how entanglement evolves in continuous variable quantum systems interacting with structured reservoirs, revealing regimes like sudden death and revivals without relying on common approximations.

Contribution

It derives an exact analytic expression for entanglement dynamics in structured reservoirs without Markov or secular approximations, identifying distinct dynamical regimes.

Findings

Identifies entanglement sudden death, revivals, and non-secular revival regimes.

Shows short-time correlations can rapidly destroy entanglement even at zero temperature.

Provides insights into non-Markovian effects on entanglement evolution.

Abstract

We address the evolution of entanglement in bimodal continuous variable quantum systems interacting with two independent structured reservoirs. We derive an analytic expression for the entanglement of formation without performing the Markov and the secular approximations and study in details the entanglement dynamics for various types of structured reservoirs and for different reservoir temperatures, assuming the two modes initially excited in a twin-beam state. Our analytic solution allows us to identify three dynamical regimes characterized by different behaviors of the entanglement: the entanglement sudden death, the non-Markovian revival and the non-secular revival regimes. Remarkably, we find that, contrarily to the Markovian case, the short-time system-reservoir correlations in some cases destroy quickly the initial entanglement even at zero temperature.