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Figure 12 | EPJ Quantum Technology

Figure 12

From: Quantum and classical nonlinear dynamics in a microwave cavity

Figure 12

The minimum possible noise spectra. The minimum possible noise spectra S ϕ min (ω) for linearisation about the fixedpoint at the origin for ϵ=0.The noise spectrum is dependent on four parameters: the scaled parametricpumping κ = κ γ ;the scaled detuning Δ = Δ γ ;and the scaled probed frequency ω = ω γ and phase ϕ. Here we plot the noise spectrum against only theparametric pumping and the probed frequency. The different coloured sheets showdifferent detunings: the red (innermost) surface shows the noise for nodetuning Δ =0;the green (central) surface shows the noise for | Δ |=1; and theblue (outermost) surface shows the noise for | Δ |=2. Where thesurface is not plotted it is because the origin does not exist as a stablesemi-classical fixed point to be linearised about for those parameter values.We choose the optimal phase ϕ to produce the minimum noise S ϕ (ω) searching over all frequencies foreach pumping power and detuning.

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