Indirect driving of cavity QED system and its induced non-linearity

The linear driving for a single-mode optical field in a cavity can result from the external driving of classical field even when the coupling between the classical field and the cavity is weak. We revisit this well known effect with a microscopic model where a classical field is applied to a wall of the cavity to excite the atoms in the wall, and re-combination of the low excitations of the wall mediates a linear driving for the single-mode field inside the cavity. With such modeling about the indirect driving through the quantum excitations of the wall, we theoretically predict several non-linear optical effects for the strong coupling cases, such as photon anti-bunching and photon squeezing. In the sense, we propose the most simplified non-linear quantum photonics model.