Figure 5
From: Floquet space exploration for the dual-dressing of a qubit

FFT power spectrum (continuous black line, arbitrary units) of \(\langle \sigma _y(\tau ) \rangle\) vs \(f_{\textrm{FFT}}\) Fourier frequency, measured in f units. All spectra obtained from FFT applied to the RPP signals. The s-th micromotion component appears at \(f_{\textrm{FFT}}=s\) with its sidebands at \(s\pm \Omega _L\) positions. When the sidebands are stronger than the main components, the regular spacing of the micromotion components at first glance does not appear satisfied. Red open circles represent theoretical predictions scaled to the experimental ones. Power spectrum measured in arbitrary units. On the low power values the experimental and theoretical spectra are limited to the − 80 dB value.The \(0, \Omega _L,1, 2,3,...\) peak sequence, with their ordered micromotion sidebands, appears in the (a,b,d) plots. Instead in (c) the \(\Omega _L\) large value leads to the \(0,1- \Omega _L, \Omega _L, 1, 2-\Omega _L,1+\Omega _L, 2, 3- \Omega _L,..\) sequence. Parameters \([p,\Omega _x,\Omega _y,\Delta \Phi _0/\pi ,f_L]\) the last one in kHz: in (a) [1, 4.00(1), 0.850(4), 0.500(1), 6.4(1)]; in (b) [2, 1.400(4), 0.550(3), 0.000(1), 8.8(1)]; in (c) [1, 1.340(4), 1.380(7), 0.500(1), 36.5(1)]; in (d) [1, 1.000(3), 1.000(5), 1.500(1), 8.0(1)]. In all plots \(\omega _{0x}=\omega _{0y}=0\), \(\omega _{0z}=0.3375(3)\), and \(f=40.00\) kHz.