CAVITY QED WITH COLD TRAPPED IONS

We analyze the quantum motion of a cold, trapped two-level ion interac ting with a quantized light field in a single-mode cavity. We shaw cha t in the nonclassical Lamb-Dicke limit the time evolution of the vibra tional mode representing the quantized motion of the center of mass of the trapped ion is very sensitive to the quantum statistics of the li ght field. We also show that the system under consideration may evolve into the maximally entangled three-particle Greenberger-Horne-Zeiling er state. We briefly discuss the dynamics of a cluster of two-level io ns trapped in a cavity and interacting with a quantized light field.