Fig. 4.

Rabi and Ramsey oscillations at different coupling strengths. Phonon Rabi oscillations (A–C) and Ramsey interference (E–G) between spatially separated resonators at coupling strengths ${\mathrm{\Omega }}_{13}/2\pi$ = 1.18, 1.68, and 2.36 MHz, respectively. Solid lines are numerical fitting using damped cosinusoidal functions. (D) Damping times of Rabi oscillations $T_{\text{Rabi}}$ and quality factor $Q_{\text{Rabi}}=T_{\text{Rabi}}\times {\mathrm{\Omega }}_{\text{Rabi}}/2\pi$ as functions of coupling rate ${\mathrm{\Omega }}_{13}/2\pi$. (H) Damping times of Ramsey interference $T_{\text{Ramsey}}$ and quality factor $Q_{\text{Ramsey}}=T_{\text{Ramsey}}\times {\mathrm{\Omega }}_{\text{Ramsey}}/2\pi$ as functions of coupling rate ${\mathrm{\Omega }}_{13}/2\pi$. Error bars are given by fitting fidelities. Data points for ${\mathrm{\Omega }}_{13}/2\pi$ = 3.11 MHz are taken from Figs. 2 and 3.