Entanglement dynamics in presence of diversity under decohering environments

TL;DR

This paper investigates how entanglement between two coupled harmonic oscillators evolves in different environmental conditions, considering diversity in their frequencies, coupling strength, and bath memory effects, to understand entanglement preservation.

Contribution

It provides a comprehensive master equation without rotating wave approximation for entanglement dynamics in diverse environments, including non-Markovian effects and resonance conditions.

Findings

Resonance condition enhances entanglement preservation.

Non-Markovian environments can sustain entanglement longer.

Diversity in oscillator frequencies affects entanglement decay.

Abstract

We study the evolution of entanglement of a pair of coupled, non-resonant harmonic oscillators in contact with an environment. For both the cases of a common bath and of two separate baths for each of the oscillators, a full master equation is provided without rotating wave approximation. This allows us to characterize the entanglement dynamics as a function of the diversity between the oscillators frequencies and their mutual coupling. Also the correlation between the occupation numbers is considered to explore the degree of quantumness of the system. The singular effect of the resonance condition (identical oscillators) and its relationship with the possibility of preserving asymptotic entanglement are discussed. The importance of the bath's memory properties is investigated by comparing Markovian and non-Markovian evolutions.