Figure 1

(Color online) RF response of the strongly driven SCB coupled to an oscillator. The images represent the rf reflection coefficient of the system, $S_{11}$, as a function of dc gate charge, $n_g$, and microwave amplitude, $A_{\mu }$. (a) and (b) show the data for the phase, $\text{arg}\left(S_{11}\right)$, and magnitude, $\left|S_{11}\right|-1$, respectively. (c) and (d) show the corresponding theoretical calculations. The fitting parameters represent a model for the environmental charge noise, sketched in (g), which is responsible for dressed relaxation and dephasing. The data and theory are plotted with the same color scales. (e) Schematic of the SCB and resonator. (f) Energy-level diagram showing the dressed levels and transitions. (g) Sketch of the environmental spectral density showing the $1/f$ tail, oscillator peak, and Ohmic background.Reuse & Permissions

Figure 2

(Color online) (a) Dressed Bloch response of the 1-photon dressed state. The (color) scale is the same as Fig. 1. The two left panels are the theory and data for higher amplitude while the right panels are for lower amplitude. (b) The extracted values of ${\Gamma }_{rel}^{std}$ as a function of the detuning between the dressed states and oscillator, for positive detuning. (c) The calculated values of ${\Gamma }_{exc}\left(\eta =\pi \right)$ and ${\Gamma }_{rel}\left(\eta =\pi \right)$ (excluding ${\Gamma }_{rel}^{std}$) as a function of the microwave amplitude $A_{\mu }$ [see Eqs. (5, 6)].Reuse & Permissions