Quantum statistics and blockade of phonon and photon in a dissipative quadratically coupled optomechanical system

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

“…Equation (33) indicates that the entanglement between the two mechanical modes is established when E m 𝒩 > 0, which corresponds to the condition µ − < 1/2.…”

“…Optomechanical cavities [32][33][34] have emerged as a prevalent avenue for the investigation of quantum entanglement in macroscopic systems, with the introduction of diverse proposed protocols. These protocols hinge on the innate interaction between light and mechanical oscillators, offering a variety of avenues for creating quantum entanglement.…”

Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings

“…These types of systems possess a broad range of important applications, which include the ability to generate different bipartite [24] and tripartite [25] entanglements and sensitive measurements of mechanical motion [26][27][28], photon blockade [29][30][31], phonon blockade [32,33] and optical squeezing, which were investigated from both theoretical and experimental points of view [34][35][36]. An extension of such systems is an optomechanical system with second-order, i.e., quadratic coupling, wherein nonlinear interaction between photons and phonons provides conditions for performing many interesting phenomena, especially squeezing [37][38][39], photon blockade [40][41][42], which was first presented by Rabl et al [43,44], and phonon blockade [45][46][47][48][49]. Now, we continue with referring to the literature dealing with linear and nonlinear optomechanical cavities with more details on the squeezing and blockade that have been of interest in these systems.…”