Abstract
•Emission spectrum of a two-level coupled to a nonlinear bosonic field.•Atom-field system in the context of parity deformed Jaynes-Cummings model.•Effect of the deformed parameter, detuning and half-band-width of the spectrometer.•Geometric phase of the atom-field state with parity deformed Jaynes-Cummings model.•Equation of motion without rotating wave approximation.
The emission spectrum of a qubit (two-level atom) system that interacts with a field in the framework of parity deformations is investigated in this paper. The model consists of a qubit coupled to a single-mode field within the parity deformed Jaynes-Cummings model (PDJCM) based on the λ-analog of the quantum harmonic oscillator algebra. We numerically evaluate the atomic emission spectrum (AES), by considering the influence of the deformed parameter and half-band-width of the spectrometer. Moreover, the dependence of the spectrum peaks on the detuning parameter is discussed. Finally, we study the variation of the geometric phase of the whole system state modelled by the PDJCM in terms of the main physical parameters.