Long-term quantum treatment of the spontaneous emission of an atom interacting with a strongly populated mode

Abstract

In this note we made an all quantum treatment of the long-term spontaneous emission of a two-level atom, strongly interacting with a resonant mode. The spectra of the spontaneous emission, as they arc registered either by a large-band detector or by a monochromatic one, are calculated for various times of interaction and interaction strengths. The energy levels of a two-level atom in interaction with a resonant field mode (atom plus field mode system or AFM system) are clustered into n-blocks of two levels l+>n and [-->,~ with energies h(no)o~ ~r where to o is the circular frequency of the field mode, a the coupling constant of the interaction between the atom and the mode and n the occupation number of the mode. If we call II> and ]2>, respectively, the atom ground-state and excited-state wave functions, the stationary states ]+>, and ]-->~ of the AFM system can be written (1)