Exact isolated solutions for the two-photon Rabi Hamiltonian
Clive Emary, R. F. Bishop
The two-photon Rabi Hamiltonian is a simple model describing the interaction of light with matter, with the interaction being mediated by the exchange of two photons. Although this model is exactly soluble in the rotating-wave approximation, we work with the full Hamiltonian, maintaining the non-integrability of the model. We demonstrate that, despite this non-integrability, there exist isolated, exact solutions for this model analogous to the so-called Juddian solutions found for the single-photon Rabi Hamiltonian. In so doing we use a Bogoliubov transformation of the field mode, as described by the present authors in an earlier publication.
arXiv:quant-ph/0206182•Journal of Physics A Mathematical and General•Sep 18, 2002•59 citations