  Adiabatic pumping is characterized by a geometric contribution to the pumped
charge, which can be non-zero even in the absence of a bias. However, as the
driving speed is increased, non-adiabatic excitations gradually reduce the
pumped charge, thereby limiting the maximal applicable driving frequencies. To
circumvent this problem, we here extend the concept of shortcuts to
adiabaticity to construct a control protocol which enables geometric pumping
well beyond the adiabatic regime. Our protocol allows for an increase, by more
than an order of magnitude, in the driving frequencies, and the method is also
robust against moderate fluctuations of the control field. We provide a
geometric interpretation of the control protocol and analyze the thermodynamic
cost of implementing it. Our findings can be realized using current technology
and potentially enable fast pumping of charge or heat in quantum dots, as well
as in other stochastic systems from physics, chemistry, and biology.
