The bistable behavior of the steady-state position q_1s is plotted as a function of driving field for different cases: (a) g/2π = 10 kHz, 20 kHz, and 30 kHz; (b) g₀/2π = (2, 2.5, 3.0, 3.5) kHz. The variation in the steady-state position q_2s is sketched as a function of driving field for several values of cavity field detuning, i.e., Δ_c, and Coulomb coupling g_c in panels (c) and (d), respectively. Other parameters are considered as Δ_a/2π = 10 kHz, γ_1,2 = ω_1,2/Q, γ_a/2π = 0.1 kHz, Δ_c = 3κ, and g_c/2π = 100 kHz.