R\'enyi-2 quantum correlations of two-mode Gaussian systems in a thermal environment

TL;DR

This paper studies how Gaussian quantum correlations, specifically Rényi-2 quantum discord, evolve over time for two bosonic modes in a thermal environment, showing they diminish to zero asymptotically.

Contribution

It provides a detailed analysis of Rényi-2 quantum discord dynamics for two-mode Gaussian systems in thermal baths, including their time evolution and asymptotic behavior.

Findings

Quantum discord remains non-negative at all temperatures for initial entangled states.

All correlations decay to zero over time due to thermal environment effects.

The study offers insights into the robustness of quantum correlations in open systems.

Abstract

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of continuous variable Gaussian R\'enyi-2 (GR2) quantum discord for a system consisting of two non-interacting non-resonant bosonic modes embedded in a thermal environment. In the case of both an entangled initial squeezed vacuum state and squeezed thermal state, GR2 quantum discord has non-negative values for all temperatures of the environment. We describe also the time evolution of GR2 classical correlations and GR2 quantum mutual information of the quantum system. All these quantities tend asymptotically to zero in the long time regime under the effect of the thermal bath.