Single photon inverting pulse for an atom in a cavity

This paper considers the model where a two-level atom is placed in an open cavity. We show that the atom-cavity system can be taken as a linear quantum system under the driving of single photon state. We prove that the single photon input to the cavity could coherently invert the atomic state from the ground state to the excited state. We derive the exact expressions of the single photon inverting pulses when the open cavity is open to single-channel and two-channel input.