Phonoritonic crystals with synthetic magnetic field for acoustic diode

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.