  We show that a Rabi-splitting of the states of strongly interacting electrons
in parallel quantum dots embedded in a short quantum wire placed in a photon
cavity can be produced by either the para- or the dia-magnetic electron-photon
interactions when the geometry of the system is properly accounted for and the
photon field is tuned close to a resonance with the electron system. We use
these two resonances to explore the electroluminescence caused by the transport
of electrons through the one- and two-electron ground states of the system and
their corresponding conventional and vacuum electroluminescense as the central
system is opened up by coupling it to external leads acting as electron
reservoirs. Our analysis indicates that high-order electron-photon processes
are necessary to adequately construct the cavity-photon dressed electron states
needed to describe both types of electroluminescence.
