Figure 3

Time evolution of the mechanical entanglement evaluated using the full linearized Hamiltonian in Eq. (6) for two different values of the mechanical decay rate, with all mechanical and cavity modes are initially in thermal equilibrium with their baths. A set of experimentally feasible parameters^39,42,50,51 are chosen here: G ₊/G ₋ = 0.8, \({\bar{n}}_{b}=2\), and (in units of ω _m ) κ = 0.1, J = 3, Δ₀ = 4, g = 10⁻⁵, G ₋ = 0.03, γ _m  = 0 (blue line), γ _m  = 10⁻⁴ (orange line).