The evolution of a system induced by counterdiabatic driving mimics the adiabatic dynamics
without the requirement of slow driving. Engineering it involves diagonalizing the
instantaneous Hamiltonian of the system and results in the need of auxiliary nonlocal
interactions for matter waves. Here, experimentally realizable driving protocols are found for
a large class of single-particle, many-body, and nonlinear systems without demanding the
spectral properties as an input. The method is applied to the fast decompression of Bose …

The application of adiabatic protocols in quantum technologies is severely limited by
environmental sources of noise and decoherence. Shortcuts to adiabaticity by
counterdiabatic driving constitute a powerful alternative that speed up time-evolution while
mimicking adiabatic dynamics. Here we report the experimental implementation of
counterdiabatic driving in a continuous variable system, a shortcut to the adiabatic transport
of a trapped ion in phase space. The resulting dynamics is equivalent to a 'fast-motion …