  We report the emergence of large-scale hyperuniformity in microfluidic
emulsions. Upon periodic driving confined emulsions undergo a first-order
transition from a reversible to an irreversible dynamics. We evidence that this
dynamical transition is accompanied by structural changes at all scales
yielding macroscopic yet finite hyperuniform structures. Numerical simulations
are performed to single out the very ingredients responsible for the
suppression of density fluctuations. We show that as opposed to equilibrium
systems the long-range nature of the hydrodynamic interactions are not required
for the formation of hyperuniform patterns, thereby suggesting a robust
relation between reversibility and hyperuniformity which should hold in a broad
class of periodically driven materials.
