Fig. 1. Transitions between the perturbed energy levels with the first-order perturbed dressed states. The three terms in the parentheses on the right side of the figure separately represent the unperturbed dressed state and the dressed states caused by the CRT and PDM. The arrows represent the 21 frequency components, where the main probability transitions are labeled by the alphabet “A, B, …, J”.

Fig. 2. Transitions between the dressed-state energy levels caused by the RT, CRT and, PDM in the parity chains, respectively. The initial state of the system starts is |e,0〉.

Fig. 3. Population differences 〈σz(t)〉 at the resonant case for different normalized coupling strengths f=λ/ωc with different normalized permanent dipole difference α. (a) f=0.01, α=1,5 (from top to bottom). (b) f=0.1, α=0.5,1 (from top to bottom). Our dressed-state perturbation theory (blue dot–dashed lines) are compared with the numerical simulation results (red solid lines).

Fig. 4. Fourier transform of the population difference at the resonance for different normalized permanent dipole difference α with λ=0.1ωc. (a) α=0.5; (b) α=1. The ten frequency peaks A, B, C, D, E, F, G, H, I, and J correspond to the transitions between the perturbed energy levels in Fig. 1. Our dressed-state perturbation theory (blue dot–dashed lines) are compared to the numerical simulation results (red solid lines).