We use phase-resolved transient grating spectroscopy to measure the
propagation of spin helices in a high mobility n-GaAs/AlGaAs quantum well
with an applied in-plane electric field. At relatively low fields helical modes
crossover from overdamped excitations where the spin-precession period exceeds
the spin lifetime, to a regime of coherent propagation where several
spin-precession periods can be observed. We demonstrate that the envelope of a
spin polarization packet reaches a current-driven velocity of 107 cm
s−1 in an applied field of 70 V cm−1