Figure 1

Schematic of the system under consideration in this paper. A schematic ofthe system under consideration. A superconducting microwave cavity of frequency${\omega }_c$has an effective Kerr nonlinearity χ, due primarily to theSQUID-loop connecting it to ground. It is driven both by a linear drive ofamplitude ϵ at a detuning from the cavity of Δ, andalso by a parametric drive at twice the cavity frequency at an amplitudeκ.