Generation of Quantum Correlations in Bipartite Gaussian Open Quantum Systems

Aurelian Isar,Gh Adam,D Podgainy,J Buša,M Hnatič

doi:10.1051/epjconf/201817301006

Abstract

We describe the generation of quantum correlations (entanglement, discord and steering) in a system composed of two coupled non-resonant bosonic modes immersed in a common thermal reservoir, in the framework of the theory of open systems. We show that for separable initial squeezed thermal states entanglement generation may take place, for definite values of squeezing parameter, average photon numbers, temperature of the thermal bath, dissipation constant and strength of interaction between the two bosonic modes. We also show that for initial uni-modal squeezed states Gaussian discord can be generated for all non-zero values of the strength of interaction between the modes. Likewise, for an initial separable state, a generation of Gaussian steering may take place temporarily, for definite values of the parameters characterizing the initial state and the thermal environment, and the strength of coupling between the two modes.

Highlights

Characterizing and quantifying quantum correlations represent a key subject in the theory of quantum information [1,2,3]
In Ref. [30] we described the dynamics of the quantum entanglement of a subsystem composed of two coupled bosonic modes interacting with a common thermal reservoir and have shown that, for a separable initial squeezed thermal state entanglement generation may take place, for definite values of the squeezing parameter, average photon numbers, temperature of the thermal bath, dissipation coefficient and strength of interaction between the two modes
In Ref. [39] we considered the system of two uncoupled bosonic modes interacting with a common thermal reservoir and described the behaviour of the Gaussian quantum steering, when the initial state of the system is an entangled squeezed thermal state

Summary

Introduction

Characterizing and quantifying quantum correlations represent a key subject in the theory of quantum information [1,2,3]. In the framework of the theory of open systems, the dynamics of quantum correlations of two, both uncoupled and respectively coupled, bosonic modes embedded in a common thermal bath, for initial Gaussian states of the system [9,10,11,12,13,14,15]. We show that for initial uni-modal squeezed states the generation of Gaussian quantum discord takes place for all non-zero values of the strength of interaction between the bosonic modes. We illustrate that, for an initial separable squeezed thermal state, a generation of Gaussian quantum steering may take place temporarily, for definite values characterizing the initial state and the thermal environment, and the strength of interaction between the two modes.

Master equation for two bosonic modes interacting with the environment

Generation of quantum entanglement

Generation of Gaussian discord

Generation of Gaussian steering

Summary