  In the paper carried out by Wenjun et al. \cite{Shao2017}, a generalization
of the James effective dynamics theory based on a first version of the James
method was presented. This however, is not a very rigorous way of deriving the
effective third-order expansion for an interaction Hamiltonian with harmonic
time-dependence. In fact, here we show that the third-order Hamiltonian
obtained in \cite{Shao2017} is not Hermitian for general situations when we
consider time-dependence. Its non-Hermitian nature arises from the foundation
of the theory itself. In this comment paper, the most general expression of the
effective Hamiltonian expanded up to third order is obtained. Our derived
effective Hamiltonian is Hermitian even in situations where we have
time-dependence.
