Monogamy of entanglement and steering in an atom-optomechanical system

Monogamy of quantum correlations shared in a cavity-freeoptomechanical system

“…An in-depth study of this property by using CKW-monogamy inequalities to govern the entanglement distribution between three qubits, was carried out by Coofman-Kundu-Wotters (CKW) [24], and had been generalized by Osborne and Verstraete [35]. The monogamy inequality for sharing entanglement has been proven for all Gaussian states [36] and many quantum measures proposed as quantifiers of bipartite correlations in CKW-monogamy, namely (Gaussian) Contangle [8], Gaussian steering [37], and Gaussian the Gaussian Rényi-2(GR2) [6], have also been used to demonstrate the monogamy property or to quantify tripartite correlations [22,[38][39][40][41][42][43]. In [39], monogamy of entanglement has been studied in a cavity-free optomechanical system consisting of two optical modes stemming from interaction between the laser beam and an actuator mirror, as well as one mechanically mode, by quantifying bipartite entanglement using Gaussian contangle and the tripartite entanglement by exploiting residual Gaussian Contangle.…”