Reply to “Comment on ‘Realization of a bipolar atomic Šolc filter in the cavity-QED microlaser’ ”

In this reply to the Comment by Bouchene et al. [Phys. Rev. A 84, 037801 (2011)], we show that our experiment [Phys. Rev. A 81, 053824 (2010)] was a legitimate demonstration of the atomic $\check{\text{S}}$olc filter for the range of parameters that we have studied. The more detailed theoretical framework presented in the Comment and the interpretation of its outcome in terms of nonadiabatic jump are only necessary for larger field intensities.

Figure 1

Ratio of the nonadiabatic coupling ${\partial }_T{\theta }_n$ to the generalized Rabi frequency ${\Omega }_n$ under the experimental conditions of Ref. [2]. The adiabatic condition $|{\partial }_T{\theta }_n|\ll {\Omega }_n$ is not satisfied during most of the effective interaction time.

Figure 2

(a) Extended plot of the population transfer probability for the experimental parameters of Ref. [2]. (b) Magnified view of the region enclosed by a rectangle in (a). The adiabatic basis description and NAJ are applicable to the upper near-continuum region in (a), not to the low-lying islands as in (b). In particular, for the lowest two islands ($m=1$), the two conditions of the atomic $\check{\text{S}}$olc filter are satisfied. The actual experiment corresponds to these two islands. Dotted curves indicate the condition $\sqrt{{\eta }^2+{\delta }^2}=m\pi$, which is one of the atomic $\check{\text{S}}$olc filter conditions.