We obtain explicit analytical expressions for the energy spectra of the resonant single- and two-photon Tavis-Cummings models in the asymptotic limit of a large number of atoms, A ≫1, and a large number of total excitations, N ≫1. We show that both the spectral singularities in the regime N / A ∼1 and the equidistant spectra in the regime N / A ≫1 can be accurately described in the semiclassical framework.
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Beloiarov et al. (2024) studied this question.
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