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

In this paper, we present a theoretical scheme for the generation and manipulation of bipartite atom–atom entanglement in dissipative optomechanical system containing two atoms presence linear nonlinear (quadratic) couplings. To achieve goal first obtain interaction Hamiltonian picture, then, by considering some resonance conditions applying rotating wave approximation, effective Hamiltonian, which is independent time, derived. continuation, solution was obtained via solving Lindblad master equation, includes atomic, optical mechanical dissipation effects. Finally, quantitatively discussed, evaluating negativity, well-known measure entanglement. Our numerical simulations show that significant degree can be reached adjusting parameters. It noticeable decay rates play an important role quasi-stability even stability