kappa-Deformed Photon and Jaynes-Cummings Model

Abstract

In this paper, we discuss the kappa-deformed boson algebra. We present the infinite dimensional representation of this algebra. Assuming that the photon obeys the kappa-deformed algebra instead of the ordinary boson algebra, we discuss the kappa-deformed quantum optical electromagnetic field whose classical Hamiltonian is written in terms of an infinite set of real harmonic oscillators. We also discuss the second quantization of light when we regard the photon as the quantum particle obeying the kappa-deformed boson algebra. Finally we discuss the interaction between a two-level atom coupled to a single kappa-photon.