“…Ultrafast electronic or vibrational spectroscopy and the nuclear wavepacket analysis often evidence the coherent oscillations in the electronic or vibrational transitions in the excited state, originating from the couplings between the nuclear coordinates [ 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Mathies and co-workers reported various quantum beatings in the time-resolved Raman spectra of chromophores within the protein environment, where the restricted vibrational motions such as the wagging vibrations in a protein pocket were directly related to the coherent oscillation [ 26 , 37 , 38 , 39 , 40 , 41 , 42 ]. The coherent signals, originating from the coupling of potential energy surfaces, carry crucial information about the reaction coordinate and the excited-state dynamics.…”