Two recent experiments are discussed which demonstrate real-time trapping a
nd monitoring of single atoms within a high-finesse optical resonator. A si
ngle atom moving within the resonator generates large variations in the tra
nsmission of a weak probe laser, which are recorded in real time. These cav
ity QED signals are used to trigger ON a confining potential to trap the at
om. In the first experiment, the confining potential is provided by the sin
gle-photon forces associated with the cavity QED interaction. An inversion
algorithm allows individual atom trajectories to be reconstructed from the
record of cavity transmission, and reveals single atoms bound in orbit by t
he mechanical forces associated with single photons. In a second experiment
, an additional classical standing-wave dipole trap provides the trapping,
enabling a 28 ms trap lifetime for single strongly coupled atoms.