  We develop a rigorous theoretical framework to describe light-sound
interaction in the laser-pumped periodic multiple-quantum-well structure
accounting for the hybrid phonon-polariton excitations, termed as phonoritons.
We show that phonoritons exhibit the pumping-induced synthetic magnetic field
in the artificial "coordinate-energy" space, that makes transmission of left-
and right- going waves different. The transmission nonreciprocity allows to use
such phonoritonic crystals with realistic parameters as optically controlled
nanoscale acoustic diodes.
