  We report Floquet band engineering of long-range transport and direct imaging
of Floquet-Bloch bands in an amplitude-modulated optical lattice. In one
variety of Floquet-Bloch band we observe tunable rapid long-range high-fidelity
transport of a Bose condensate across thousands of lattice sites. Quenching
into an opposite-parity Floquet-hybridized band allows Wannier-Stark
localization to be controllably turned on and off using modulation. A central
result of this work is the use of transport dynamics to demonstrate direct
imaging of a Floquet-Bloch band structure. These results demonstrate that
transport in dynamical Floquet-Bloch bands can be mapped to transport in
quasi-static effective bands, opening a path to cold atom quantum emulation of
ultrafast multi-band electronic dynamics.
