  Quantum systems with exact analytic solutions are rare - challenging the
realisation of excitation-free transport methods for many-body systems.
Husimi's 1953 treatment of linearly driven harmonic oscillators constitutes an
important exception, describing a wavepacket which is spatially translated but
otherwise unperturbed by the driving. In this work, we experimentally
demonstrate the application of Husimi's solution to an interacting many-body
system, namely optically- and magnetically-trapped Bose-Einstein condensates
subject to resonant and off-resonant linear magnetic driving potentials. The
observed centre-of-mass motion is consistent with theory and shows minimal
excitation of the displaced condensate - a highly desirable property of any
condensate manipulation technique. We demonstrate transport 72 times faster
than adiabatic rates, and a novel Husimi driving-based trap frequency
measurement. We finally propose future applications based on our experimental
results: an atom interferometry scheme, and methods for extended transport and
precision control of one-body, few-body, and many-body systems via Husimi
driving.
