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We investigate the generation of higher-order harmonics from a quantum opticsperspective via the interaction of a semiconductor with a coherent pump fieldfocusing on the regime where strong-field intraband excitations dominate. Therelated Schr\"odinger equation for the system is solved approximately and theclassical and quantum characteristics of the fundamental light mode as well asthe higher frequency modes are analyzed. We find intricate but sufficientlymild modifications of the fundamental mode and coherent displacements dependingon the position quadrature component of the driving laser field for theharmonic modes within our approximations due to the intricate induced nonlinearinteractions. Similar to high-harmonic generation in atoms, all radiation fieldmodes are entangled, allowing for potential novel protocols for quantuminformation processing with high photon numbers over a large range offrequencies.

Nonclassical light generation and control from laser-driven semiconductor intraband excitations