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The limit g(x) = 0 corresponds to no coupling to the cavity where the dynamics discussed in [19] do not apply. One may however ask what happens when g(x) → 0, where it may seem that the average energy inside the cavity diverges. In this case, in a lossless resonator energy would be continuously pumped into the system. These considerations are not relevant in realistic cases, where cavity decay cannot be neglected. In any case, when the atom is at a node of the cavity mode it scatters laser photons and fluorescence is observed
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