  We propose an alternative scheme to implement the quantum state transfer
between two three-level atoms based on the invariant-based inverse engineering
in cavity quantum electronic dynamics (QED) system. The quantum information can
be ultrafast transferred between the atoms by taking advantage of the cavity
field as a medium for exchanging quantum information speedily. Through
designing the time-dependent laser pulse and atom-cavity coupling, we send the
atoms through the cavity with a short time interval experiencing the two
processes of the invariant dynamics between each atom and the cavity field
simultaneously. Numerical simulation shows that the target state can be
ultrafast populated with a high fidelity even when considering the atomic
spontaneous emission and the photon leakage out of the cavity field. We also
redesign a reasonable Gaussian-type wave form in the atom-cavity coupling for
the realistic experiment operation.
