  In this paper we investigate the dynamical behavior of a SQUID ring coupled
to a quantized single-mode electromagnetic field. We have calculated the
eigenstates of the combined fully quantum mechanical SQUID-field system.
Interesting phenomena occur when the energy difference between the usual
symmetric and anti-symmetric SQUID states equals the field energy . We find the
low-energy lying entangled stationary states of the system and demonstrate that
its dynamics is dominated by coherent Rabi oscillations.
