A GENERALIZED MULTIPHOTON JAYNES–CUMMINGS MODEL FOR TWO COLLECTIVELY RADIATING ATOMS SOLVED VIA SUPERSYMMETRIC UNITARY TRANSFORMATION
Huai-Xin Lu, Xiaoqin Wang, HAN-JUN LIU, YONG-DE ZHANG · Modern Physics Letters B · 2001
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.