  We demonstrate optomechanical quantum control of the internal electronic
states of a diamond nitrogen vacancy (NV) center in the resolved-sideband
regime by coupling the NV to both optical fields and surface acoustic waves via
a phonon-assisted optical transition and by taking advantage of the strong
excited-state electron-phonon coupling of a NV center. Optomechanically-driven
Rabi oscillations as well as quantum interferences between the optomechanical
sideband and the direct dipole-optical transitions have been realized. These
studies open the door to using resolved-sideband optomechanical coupling for
quantum control of both the atom-like internal states and the motional states
of a coupled NV-nanomechanical system, leading to the development of a
solid-state analog of trapped ions.
