Figure 1
Semiclassical bifurcation diagram of the bichromatically driven optomechanical and superconducting circuit cavities.
A positive Kerr coupling constant K has been used; for K < 0 the result is identical, upon swapping Δ → −Δ. μ is proportional to the injection power and Δ/κ is the ratio of the cavity detuning to the photon damping rate. The base solution becomes unstable inside the tongue (3), where the noninjected frequency ωL appears. The full, blue line represents the analytical prediction based on model (1). Symbols denote boundaries obtained from numerical integration of the mean field equations of the Kerr model (green diamonds), which actually represent a superconducting circuit cavity and of the complete optomechanical model (orange circles). The insets show the optical power spectrum (logarithmic scale) for different injection parameters: (a) below the lower signal oscillation threshold (base solution), (b) a small signal at ωL emerges close above the lower signal oscillation threshold and (c) the signal is fully developed well inside the tongue. The red line denotes the location of the carrier frequency ωL and the two main peaks located at ωL ± Ω correspond to the driving. The modulation frequency Ω/κ = 4π. In the optomechanical case the actual parameters are ωm/κ = 30, Qm = 105.
