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Journal of Atomic and Molecular Physics

Invariant approach to the system of two-mode field interacting with two-level atom in a Kerr medium

Yu Wan‐Lun

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

Based on the Lewis-Riesenfeld invariant theory,we investigate repeatedly the system of a two-level atom interacting with two-mode field with arbitrary detuning in a high-Q cavity with Kerr medium.We obtain the general state vector and the time evolution operator as well as the evolution expressions of both the atomic inversion and the photon number for the system.

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Based on the Lewis-Riesenfeld invariant theory,we investigate repeatedly the system of a two-level atom interacting with two-mode field with arbitrary detuning in a high-Q cavity with Kerr medium.We obtain the general state vector and the time evolution operator as well as the evolution expressions of both the atomic inversion and the photon number for the system.
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 study the non-resonant interaction of a moving four-level N -type atom with cavity fields in the presence of a nonlinear Kerr-like medium. The exact solutions of the considered models are obtained when the atom is initially in an upper state, while the field is in a coherent state. We derive an expression for the occupation numbers of the photon state. Also, the momentum increment of the atomic system is obtained. The influence of the detuning parameters or the Kerr medium on the evolution time of the momentum increment is examined numerically. The existence of the detuning parameters leads to the retraction of the revivals for the three atomic systems. On the other hand, the presence of the Kerr medium is conducive to increasing the regularity and periodicity of the collapse–revival phenomenon for the one- and two-mode systems, while chaotic behaviour occurs for the three-mode system.
Abstract The dynamics of an effective two-level atom coupled to two-mode intensity-dependent quantized cavity fields via a ladder process in the presence of a Kerr medium has been investigated. Eigenfunctions and eigenvalues of the Hamiltonian of the interacting system have been obtained using a unitary transformation method. The cavity field statistics and non-classical properties are investigated numerically through second-order correlation functions. The effect of detuning and the Kerr medium on the non-classical features of the atom-field state has been analyzed. We find that the presence of Kerr non-linearity enhances the non-classical correlation between the correlated beams at short time intervals and increases antibunching at short time intervals.