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Communications in Theoretical Physics

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

Weijun Gui, JIA-ZHANG GUI, Tang Gang

Published Apr 1, 2006• 1 citation
Publisher

Abstract

In this paper, we find the invariant eigen-operators (IEOs) and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many cases is simpler and easier on obtaining the energy-level gap formula than the usual way.

DOI
10.1088/0253-6102/45/4/009

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In this paper, we find the invariant eigen-operators (IEOs) and the energy-level gap of a system with a two-level atom interacting with single mode cavity field through multi-photon transition in the presence of a Kerr-like medium. From this work, one can see that the IEO method in many cases is simpler and easier on obtaining the energy-level gap formula than the usual way.
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 one- and two-photon processes on the evolution of these characteristics are analyzed.