  We study quantum optics with the atoms coupled to the quantized
electromagnetic (EM) field in a non-inertial reference frame by making use of
quantum field theory in curved spacetime. We rigorously establish the
microscopic model for a two-level atom interacting with the quantized EM field
in a rotating ring cavity by deriving a Jaynes-Cummings (JC) type Hamiltonian.
Due to the two fold degeneracy of the ring cavity modes, the Rabi splitting
exhibits three rather than two resonant frequency peaks. We find that the
heights of the two side peaks show a sensitive linear dependence on the
rotating velocity. This high sensitivity can be utilized to detect the angular
velocity of the whole system.
