(a) The variation in the intra-cavity photon intensity |c_s|² is shown against the amplitude of the driving field E_L for different cases of g, g_c, g₀, and κ, respectively. The black solid, blue dotted, red dashed, and green longer dashed curves represent the bistable information for four different values of (a) g/2π = (20,30,40,50) kHz, (b) g_c/2π = (100,150,200,250) kHz, and (c) g₀/2π = (2,2.5,3,3.5) kHz, while in panel (d), black solid, blue dotted, and red dashed curves exhibit the bistable behavior for three different values of κ/2π = (0.5,1.0,1.5)215 kHz. We take g₀ = 2π × 4 kHz in panels (a,b,d), g/2π = 20 kHz in panels (b,c,d), while γ_1,2 = ω_1,2/Q, Δ_a/2π = 200 kHz, and γ_a/2π = 0.1 kHz remain the same in each panel.