Figure 1
Schematic of the system, and speed-controlled and virtual trajectories for acceleration. (a) Schematic of the system. \(\omega _1\) is decreased gradually, while \(\omega _2\) and g are fixed. There is population transfer from \(|10\rangle \) to \(|01\rangle \). (b) Time dependence of population of \(|m\rangle \) in the reference dynamics. The inset shows the time dependence of \(\Delta \omega =\omega _1-\omega _2\). (c) Time dependence of the magnification factor \(\alpha \) for the case of acceleration. The used parameters are \(\Delta \omega _{0}=30g\), \(T=g^{-1}\) and \(T_{\text{F}}=0.9g^{-1}\). (d,e) \(\ln |\beta ^{\text{FF}}|\) and \(|\beta ^{\text{FF}}|\) as functions of \(f_2\) and t for \(T_{\text{F}}=0.9g^{-1}\). The dashed curves show a virtual trajectory. (f) Time dependence of \(\Delta \omega ^{\text{FF}}=\omega _1^{\text{FF}}-\omega _2^{\text{FF}}\) for the virtual trajectory and \(\Delta \omega \) for the reference dynamics. (g) Time dependence of \(d\Delta \omega ^{\text{FF}}/dt\) and \(d\Delta \omega /dt\).
