Nonclassical correlations in a two-mode optomechanical system

Abstract

The pairwise quantum correlations in a tripartite optomechanical system comprising a mechanical mode and two optical modes are analyzed. The Simon criterion is used as a witness of the separability. Whereas the Gaussian discord is employed to capture the quantumness of correlations. Both entanglement and Gaussian discord are evaluated as functions of the parameters characterizing the environment and the system (temperature, squeezing and optomechanical coupling). We work in the resolved-sideband regime. We show that it is possible to reach three simultaneous bipartite entanglements via the quantum correlations transfer from the squeezed light to the system. While, even without squeezed light, the quantumness of correlations can be captured simultaneously between the three modes for a very wide range of parameters. Specifically, we find that the two optical modes exhibit more quantum correlations in comparison with the entangled mechanical-optical modes. Finally, unlike the two hybrid subsystems, the purely optical one seems more resilient against the environmental destructive effects

Quantum discord and its allies: a review of recent progress

“…The Authors showed that the solution of the minimization problem for the bosonic Gaussian channel implies the optimality of QD by using Gaussian measurements for a large family of Gaussian states. It is important to note that several experiments have been performed and proposals for the same given to detect and measure Gaussian QD [113][114][115][116].…”

“…From equations ( 94) and (95), one can find that σ AC = ρ AC , which implies Q(ρ AB ) = 0 (by using condition (i)). Since ρ AB is an arbitrary separable state, Q vanishes and hence the proof.…”

Tripartite Quantum Correlations under Power‐Law and Random Telegraph Noises: Collective Effects of Markovian and Non‐Markovian Classical Fields

“…The related regulation of the quantum cavities such as dominant intrinsic decoherence effects alongside the barrier of achieving least temperatures are the key issues in the non‐local channels, for example, the related issues are discussed in refs. [16–18]. In contrast, the local channels are readily exploitable and the corresponding decoherence issues could be minimized.…”