ua nt - p h / 02 06 18 2 v 1 2 6 Ju n 20 02 Exact isolated solutions for the two - photon Rabi Hamiltonian

نویسندگان

  • C. Emary
  • R. F. Bishop
چکیده

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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تاریخ انتشار 2008