Exact isolated solutions for the two-photon Rabi Hamiltonian

Details Exact isolated solutions for the two-photon Rabi Hamiltonian Exact isolated solutions for the two-photon Rabi Hamiltonian

2002-06-26

arxiv.org/abs/quant-ph/0206182v2

J. Phys. A: Math. Gen. {\bf 35}, 8231 (2002)

Physics

Quantum Physics

15 Pages, 1 Figure, Latex, minor changes

Scientific paper

10.1088/0305-4470/35/39/307

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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