Optimal shortcuts for atomic transport in anharmonic traps
  We design optimal trajectories to transport cold atoms in anharmonic traps, combining invariant-based inverse engineering, perturbation theory, and optimal control theory. The anharmonic perturbation energy is minimized constraining the maximally allowed relative displacement between the trap center and the atom. 
Qi Zhang, J. G. Muga, D. Gu\'ery-Odelin, and Xi Chen
quant-ph