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Physica Scripta

Multi-Photon Processes for One-Mode Intensity Dependent Coupling Hamiltonian in the Presence of Stark Shift

N. H. Abdel-Wahab

Published Jan 1, 2003• 1 citation
Publisher

Abstract

We have investigated the interaction between a one-mode coherent field and a two-level atom. The interaction is multi-photon processes and the Stark shift and the number operator are taken into account. We obtained the wave function when the atom is initially in a superposition state. The effects of the number operator and the dynamic Stark shift on the sub-poissonian distribution, amplitude-squared squeezing and the Q -function for two-photon processes are investigated. The results show that these phenomena are affected by the presence of these parameters.

DOI
10.1238/physica.regular.068a00103

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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.
We have investigated the effect of the counter-rotating terms on the field quantum entropy and the entanglement of the atom-field in the two-photon process, taking into account the level shifts produced by the Stark effect, with an additional Kerr-like medium for one mode. A factorization of the initial density operator is assumed, with the privileged field mode being in a coherent state. We invoke the mathematical notion of the maximum variation of a function to construct a measure for entropy fluctuations. The effects of both the Stark shift and a Kerr-like medium on the entropy and the presence of the counter-rotating terms are analyzed. PACS. 42.50.Dv – Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements. I.