Intensity Dependent Coupling Hamiltonian via Multi-Photon Interaction in a Kerr Medium

Abstract

We study the dynamics and quantum characteristics of a single two-level atom interacting with a single mode cavity field undergoing a multi-photon processes in the presence of a nonlinear Kerr-like medium. The wavefunctions of the multi-photon system are obtained when the atom starts in the excited and in the ground state. The atomic inversion, the squeezing of the radiation field and the quasiprobability distribution Q-function of the field are discussed. Numerical results for these characteristics are presented when the atom starts in the excited state and the field mode in a coherent state. The influence of the presence and absence of the number operator and the Kerr medium for the oneand two-photon processes on the evolution of these characteristics are analyzed.

Pseudo-invariant Eigen-operator of a System About Three-Level Atom in Presence of a Kerr-Like Medium

“…A system of a two-level atom interacting with single mode cavity field through multi-photon transition in presence of a Kerr-like medium was proposed, [7] which may be realized by the experiment with the Rydberg atom in a nonlinear Kerr-like cavity, [8] and we solved it with the PIEO method in Ref. [9].…”

Deriving Energy-Level Gap of a System in Presence of a Kerr-like Medium by Virtue of Invariant Eigen-operator Method

“…This system may be realized by the experiment with a Rydberg atom in a nonlinear Kerr-like cavity. [3] In the rotating wave approximation (RWA), its Hamiltonian has the form [4]…”