number Langevin equations and setting the time derivatives
equal to zero. The analytical solutions are very complex, and
one could numerically solve the steady-state equations. In this
paper, we only care about the bad cavity limit γmax ≪ T −1 ≪
τ−1 ≪ κ/2. Since the atomic transit time is much shorter than
the damping times of atomic variables, one could ignore the
eﬀect of the spontaneous emission of the atom. By the stan-
dard way [25], We get the following steady-state values:
⏐
⏐
⏐˜A ss
⏐
⏐
⏐2
= R (1 −A 0 + A 1 −A 2 )
κ = R ( B 0 − B 1 + B 2 )
κ ,
˜N ass = R τ
2
[
1 + C 0 −C 1 +C 2
g τ
√ κ
R ( B 0 − B 1 + B 2 )
]
,