Multiple Schr\"odinger pictures and dynamics in shortcuts to   adiabaticity
  A Schr\"odinger equation may be transformed by unitary operators into dynamical equations in different interaction pictures which share with it a common physical frame, i.e., the same underlying interactions, processes and dynamics. In contrast to this standard scenario, other relations are also possible, such as a common interaction-picture dynamical equation corresponding to several Schr\"odinger equations that represent different physics. This may enable us to design alternative and feasible experimental routes for operations that are a priori difficult or impossible to perform. The power of this concept is exemplified by engineering Hamiltonians that improve the performance or make realizable several shortcuts to adiabaticity. 
S. Ib\'a\~nez, Xi Chen, E. Torrontegui, A. Ruschhaupt, and J. G. Muga
quant-ph