# Discord and entanglement in non-Markovian environments at finite temperature

## TL;DR

This study investigates how non-Markovian environments at finite temperature influence the dynamics of quantum discord and entanglement between two atoms, revealing conditions that can protect these quantum correlations.

## Contribution

It demonstrates that non-Markovian effects and detuning can effectively preserve discord and entanglement at nonzero temperatures, highlighting their different robustness for various initial states.

## Key findings

- Non-Markovian reservoirs can protect quantum correlations at finite temperature.
- Nonzero temperature accelerates decay and causes entanglement sudden death.
- Robustness of discord and entanglement varies with initial states.

## Abstract

The dynamics evolutions of discord and entanglement of two atoms in two independent Lorentzian reservoirs at zero or finite temperature have been investigated by using the time-convolutionless master-equation method. Our results show that, when both the non-Markovian effect and the detuning are present simultaneously, due to the memory and feedback effect of the non-Markovian reservoirs, the discord and the entanglement can be effectively protected even at nonzero temperature by increasing the non-Markovian effect and the detuning. The discord and the entanglement have different robustness for different initial states and their robustness may changes under certain conditions. Nonzero temperature can accelerate the decays of discord and entanglement and induce the entanglement sudden death.