Coupling a Single Atomic Quantum Bit to a High Finesse Optical Cavity

The quadrupole $S_{1/2}–D_{5/2}$ optical transition of a single trapped ${\mathrm{C}\mathrm{a}}^{+}$ ion, well suited for encoding a quantum bit of information, is coherently coupled to the standing wave field of a high finesse cavity. The coupling is verified by observing the ion’s response to both spatial and temporal variations of the intracavity field. We also achieve deterministic coupling of the cavity mode to the ion’s vibrational state by selectively exciting vibrational state-changing transitions and by controlling the position of the ion in the standing wave field with nanometer precision.