  We propose a promising hybrid quantum system, where a highly-excited atom
strongly interacts with a superconducting LC oscillator via the electric field
of capacitor. An external electrostatic field is applied to tune the energy
spectrum of atom. The atomic qubit is implemented by two eigenstates near an
avoided-level crossing in the DC Stark map of Rydberg atom. Varying the
electrostatic field brings the atomic-qubit transition on- or off-resonance to
the microwave resonator, leading to a strong atom-resonator coupling with an
extremely large cooperativity. Like the nonlinearity induced by Josephson
junctions in superconducting circuits, the large atom-resonator interface
disturbs the harmonic potential of resonator, resulting in an artificial
two-level particle. Different universal two-qubit logic gates can also be
performed on our hybrid system within the space where an atomic qubit couples
to a single photon with an interaction strength much larger than any relaxation
rates, opening the door to the cavity-mediated state transmission.
