Abstract
- The non-linear Jaynes-Cummings models, in particular two-photon interactions between one or two modes of the electromagnetic field and few-level atoms or molecules, are of great interest to the understanding of quantum electrodynamics, with many applications in spectroscopy and problems of biology. Experimentally, theories of quantum electrodynamics can be tested by allowing single atoms of a beam to be present in a high-Q cavity, and allowing interaction with radiation in the cavity. We present here a formalism by deriving a two-photon interaction Hamiltonian exactly without approximations and apply the formalism to study several two-photon processes high-Q cavities.