Fast shuttling of a trapped ion in the presence of noise
  We theoretically investigate the motional excitation of a single ion caused by spring-constant and position uctuations of a harmonic trap during trap shuttling processes. A detailed study of the sensitivity on noise for several transport protocols and noise spectra is provided. The effect of slow spring-constant drifts is also analyzed. Trap trajectories that minimize the excitation are designed combining invariant-based inverse engineering, perturbation theory, and optimal control. 
Xiao-Jing Lu, J. G. Muga, Xi Chen, U. G. Poschinger, F. Schmidt-Kaler,   and A. Ruschhaupt
quant-ph