부산대학교 도서관

Summary: ``The center of mass motion of trapped ions and neutral atomsis suitable for approximation by a time-dependent driven quantumharmonic oscillator whose frequency and driving strength may becontrolled with high precision. We show the time evolution for thesesystems with continuous differentiable time-dependent parameters interms of the three basic operations provided by its underlyingsymmetry, rotation, displacement, and squeezing, using a Lie algebraicapproach. Our factorization of the dynamics allows for the intuitiveconstruction of protocols for state engineering, for example, creatingand removing displacement and squeezing, as well as their combinations,optimizing squeezing, or more complex protocols that work for slow andfast rates of change in the oscillator parameters.''