Citation:Ibáñez, S., Chen, X., Torrontegui, E., Muga, J. G. and Ruschhaupt, A. (2012) 'Multiple schrodinger pictures and dynamics in shortcuts to adiabaticity', Physical Review Letters, 109(10), 100403 (5pp). doi: 10.1103/PhysRevLett.109.100403
A Schrodinger equation may be unitarily transformed into dynamical equations in different interaction pictures which describe a common physical process, i.e., the same underlying interactions and dynamics. In contrast to this standard scenario, other relations are also possible, such as a common interaction-picture dynamical equation corresponding to several Schrodinger equations that represent different physical processes. 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.
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