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Exact isolated solutions for the two-photon Rabi Hamiltonian

C. Emary·R. F. Bishop
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Abstract

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.

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C. Emary, R. F. Bishop. 2002-09-18. Exact isolated solutions for the two-photon Rabi Hamiltonian. https://doi.org/10.1088/0305-4470%2F35%2F39%2F307

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