Abstract
The multiphoton Jaynes–Cummings model is theoretically generalized to the simplest case of collectively radiating atoms. For this Jaynes–Cummings model, we find its supersymmetric structure. Based on this, we introduce a supersymmetric unitary transformation to diagonalize the Hamiltonian, and in so doing, its eigenvalues and eigenfunctions are obtained. Some transition processes are calculated.
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