  External coherent fields can drive quantum materials into non-equilibrium
states, revealing exotic properties that are unattainable under equilibrium
conditions -- an approach known as ``Floquet engineering.'' While optical
lasers have commonly been used as the driving fields, recent advancements have
introduced nontraditional sources, such as coherent phonon drives. Building on
this progress, we demonstrate that driving a metallic quantum nanowire with a
coherent wave of terahertz phonons can induce an electronic steady state
characterized by a persistent quantized current along the wire. The
quantization of the current is achieved due to the coupling of electrons to the
nanowire's vibrational modes, providing the low-temperature heat bath and
energy relaxation mechanisms. Our findings underscore the potential of using
non-optical drives, such as coherent phonon sources, to induce non-equilibrium
phenomena in materials. Furthermore, our approach suggests a new method for the
high-precision detection of coherent phonon oscillations via transport
measurements.
