Figure 2

Input-output model. (a) Schematic of the input-output model used for calculating the response of the parametric amplifier in the presence of additional loss modes. (b) Normalized pump field photon number n in the resonator as a function of reduced pump frequency δ for effective drive strengths $\xi /{\xi }_{\mathrm{crit}}=0.01,0.5,1,2$, where ${\xi }_{\mathrm{crit}}=-1/\sqrt{27}$. (c) Absolute value of the reflection coefficient $|\mathrm{\Gamma }|$ for different coupling ratios $\kappa /(\kappa +\gamma )=1,0.8,0.5$.