By integrating the techniques of laser cooling and trapping with those of c
avity quantum electrodynamics (QED), single cesium atoms have been trapped
within the mode of a small, high finesse optical cavity in a regime of stro
ng coupling. The observed lifetime for individual atoms trapped within the
cavity mode is tau approximate to 28 ms, and is limited by fluctuations of
light forces arising from the far-detuned intracavity field. This initial r
ealization of trapped atoms in cavity QED should enable diverse protocols i
n quantum information science.