Asymptotic quantum correlations in open quantum systems

Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science

Aurelian ISAR¹ 

关键词: quantum entanglement;    quantum discord;    quantum steering;    open systems.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Editura Academiei Romane

【 摘 要 】

We describe the asymptotic behaviour of quantum correlations (quantum entanglement,quantum discord, and quantum steering) in a system composed of two coupled bosonic modesimmersed in a thermal reservoir, in the framework of the theory of open systems. The time evolutionof quantum correlations is described in terms of the covariance matrix for Gaussian initial states. Weshow that, depending on the values of the strength of interaction between the two bosonic modes, andindependent of the initial state, in the limit of infinite time the system evolves asymptotically to anequilibrium state, which may be entangled or separable. We show also that for all non-zero values ofthe strength of interaction between the modes, Gaussian quantum discord tends asymptotically forlarge times to some definite non-zero value. The asymptotic values of entanglement and discorddepend on the strength of interaction between the bosonic modes, temperature, and dissipationparameter. We calculate also the Gaussian quantum steering and find out that in the limit of largetimes it is zero for all values of the strength of interaction between the two modes.

【 授权许可】

Unknown