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Journal of Modern Optics

General formalism of interaction of a three-level atom with cavity fields in the Kerr-like medium

Weidong Li, Y. Lai, J.-Q. Liang

Published Jul 1, 2001• 6 citations
Publisher

Abstract

A general formalism of a three-level atom interacting with one-mode or two-mode cavity fields in a Kerr-like medium is presented. Dynamic behaviours of the atomic occupation probabilities and the transfer phenomena are investigated numerically in two typical cases. Our results show that the transfer phenomena may depend on the initial conditions.

DOI
10.1080/09500340108232467

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A general formalism of a three-level atom interacting with one-mode or two-mode cavity fields in a Kerr-like medium is presented. Dynamic behaviours of the atomic occupation probabilities and the transfer phenomena are investigated numerically in two typical cases. Our results show that the transfer phenomena may depend on the initial conditions.
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.
The cavity field spectrum of a cascade three-level atom interacting with single-mode field with Kerr-like medium in the cavity is investigated. The numerical results for the initial field in pure number state, coherent state and squeezed vacuum state are calculated, respectively. It is found that the Kerr-like medium affects the spectral structure even though the initial field is in vacuum when the atom is in upper level. In the case of strong input field, the number state spectrum shows two peaks with different heights; and the superposition state spectrum shows a multi-peak structure with an equal distance of two neighboring peaks. The spectral ``central frequency" shifts away from the resonant frequency with the increasing of average photon number.
In this paper, we study the interaction between a three-level atom and a quantized single-mode field with 'intensity-dependent coupling' in a 'Kerr medium'. The three-level atom is considered to be in a Λ-type configuration. Under particular initial conditions, which may be prepared for the atom and the field, the dynamical state vector of the entire system will be explicitly obtained, for the arbitrary nonlinearity function f(n) associated with any physical system. Then, after evaluating the variation of the field entropy against time, we will investigate the quantum statistics as well as some of the nonclassical properties of the introduced state. During our calculations we investigate the effects of intensity-dependent coupling, Kerr medium and detuning parameters on the depth and domain of the nonclassicality features of the atom–field state vector. Finally, we compare our obtained results with those of V -type three-level atoms.
We study the interaction between a moving three-level lambda rubidium atom and a single mode cavity field in the presence of Kerr-like medium. We derive the basic equations of motion for atomic system and show that it is exactly solvable in the rotating wave approximation (RWA). The momentum increment, the momentum diffusion and the Mandel Q parameter of this system are studied. We investigate numerically the influence of Kerr-Like medium on the evolution of the previous statistical properties in the exact resonate and nonresonate case where the atom is initially prepared in a momentum eigenstate and the field in the squeezed state. It is found that the Kerr medium has an important effect on their evolution. Finally, conclusion and discussion are given.