In this chapter we discuss the interaction of radiation with matter, the latter taken to be a two-level atom. We consider interactions with both classical and quantum fields. We first introduce the dipole approximation and the rotating-wave approximation, and then study the Rabi model of a classical field interacting with a two-level atom. We next introduce the quantized field interaction with matter and discuss absorption, spontaneous emission, and stimulated emssion. We then discuss the long-time evolution of a single-mode field with a two-level atom –– the Jaynes––Cummings model.
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