content_image/373567.jpg content_image/373566.jpg content_image/373564.jpg content_image/373565.jpg
and 

Here Δ = ω$_{c}$ − ω$_{a}$ is the cavity–atom detuning. 

<img src='content_image/373567.jpg'>

In order to get insight into the effect of the atom on the guided cavity field, we use the procedures of Ref. [12] to linearize Eqs. (28) and (29). For this purpose, we assume that the probe field is so weak that the excited state is hardly occupied and there is at most one photon in the cavity. In this case, we have [12] 

<img src='content_image/373566.jpg'>

With the help of the above formulae, we can linearize Eqs. (28) and (29) and solve them in the steady-state regime. The results are [12] 

where 

<img src='content_image/373564.jpg'>

<img src='content_image/373565.jpg'>

