Revisiting the Jaynes-Cummings-Paul model in the limit of ultrastrong coupling
Elaheh Ahmadi, Hamid Reza Chalabi, Abbas Arab, Sina Ataollah Khorasani · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2011
The interaction of quantum radiation and a two-level atom is described in the context through the Jaynes-Cummings-Paul Hamiltonian which is obtained through Heisenberg's interaction picture of the Atom-Radiation Hamiltonian. We argue that such a transformation is not mathematically exact in case of ultrastrong coupling, where the coupling rate is comparable to the transition frequency, and leads to erroneous results. In addition, we introduce an exact mathematical solution to calculate optical spectrum of this system.