Quantum control in a seven-level system using optical frequency combs modulated from both the temporal and spectral domains

We present a method that makes use of the modulated optical frequency combs to perform two-photon Raman transitions in a stepwise manner in the framework of a semiclassical seven-level system. The phase of optical frequency combs is sinusoidally modulated from both the time domain and the frequency domain. Dressed states analysis is applied to reveal the machanism of adiabatic passage of the population transfer. Odd parity of the spectral and temporal modulation shown to lead to a creation of the dark state, which may have useful applications to mitigate decoherence. A uniformity of quantum control approaches from both the temporal and spectral domains is clarified by using Wigner distribution analysis.