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We investigate the many-body Landau-Zener (LZ) process in a two-siteBose-Hubbard model driven by a time-periodic field. We find that the drivingfield may induce sideband transitions in addition to the main LZ transitions.These photon-induced sideband transitions are a signature of thephoton-assisted tunneling in our many-body LZ process. In the stronginteraction regime, we develop an analytical theory for understanding thesideband transitions, which is confirmed by our numerical simulation.Furthermore, we discuss the quantization of the driving field. In the effectivemodel of the quantized driving field, the sideband transitions can beunderstood as the LZ transitions between states of different "photon" numbers.

Photon-induced sideband transitions in a many-body Landau-Zener process