Jaynes-Cummings models multipole model

Generalizations of the Jaynes-Cummings model (34) in the case of quad-mpole and other high-order multipole transitions can be constructed in the same way. 

To illustrate the exchange of the phase information between the atomic transition and the multipole field, consider the electric dipole Jaynes-Cummings model (34). Assume that the field consists of two circularly polarized components in a coherent state each. The atom is supposed to be initially in the ground state. Then, the time-dependent wave function of the system has the form [53]... 

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