Addendum: Behavior of a bipartite system in a cavity

TL;DR

This paper demonstrates that for a bipartite system in a cavity, zero-temperature entanglement properties remain stable under heating up to room temperature, with the system showing dissipation and stability depending on cavity size.

Contribution

It provides an analysis showing that entangled states' zero-temperature properties are unaffected by heating at realistic temperatures in a cavity setting.

Findings

Entanglement properties are stable up to room temperature.

System exhibits dissipation in free space.

Small cavities provide stability at finite temperatures.

Abstract

This note is an Addendum to our previous article [Phys. Rev. A \textbf{81}, 053820 (2010)]. We show that under the assumption of a Bose-Einstein distribution for the thermal reservoir, zero-temperature properties of the entangled states considered there are not changed by heating, for temperatures up to the order of room temperatures. In this case, the system is dissipative in free space and presents stability for a small cavity, both for T=0 and for finite temperature.