Governing dynamics by squeezing in a system of cold trapped ions

We consider a system of laser-cooled ions in a linear harmonic trap and stu dy the phenomenon of squeezing exchange between their internal and motional degrees of freedom. An interesting relation between the quantum noise redu ction (squeezing) and the dynamical evolution is found when the internal an d motional subsystems are prepared in properly squeezed (intelligent) state s. Specifically, the evolution of the system is fully governed by the relat ive strengths of spectroscopic and motional squeezing, including the phenom enon of total cancellation of the interaction when the initial squeezing pa rameters are equal. [S1050-2947(99)01401-8].