Entanglement dynamics for two harmonic oscillators coupled to independent environments

TL;DR

This paper investigates how entanglement between two harmonic oscillators evolves over time when each interacts with its own environment, using an exact solution in the weak coupling and non-Markovian regime.

Contribution

It extends previous work by analyzing oscillators with different free frequencies coupled to independent Ohmic baths, providing insights into entanglement dynamics in more general conditions.

Findings

Entanglement decay depends on oscillator frequency differences.

Exact solutions reveal non-Markovian effects on entanglement.

Identical reservoirs with Lorentz-Drude cutoff influence entanglement evolution.

Abstract

We study the entanglement evolution between two harmonic oscillators having different free frequencies each leaking into an independent bath. We use an exact solution valid in the weak coupling limit and in the short time non-Markovian regime. The reservoirs are identical and characterized by an Ohmic spectral distribution with Lorents-Drude cut-off. This work is an extension of the case reported in [Phys. Rev. A 80, 062324 (2009)] where the oscillators have the same free frequency.