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Modern Physics Letters B

INFLUENCE OF DETUNING ON THE INTERACTION OF A FOUR-LEVEL ATOM WITH TWO-MODE CAVITY FIELD

N. H. Abdel-Wahab

Published Nov 10, 2008• 6 citations
Publisher

Abstract

The atomic system on which we focus is a single four-level atom interacting with two-mode cavity fields. We obtain the wavefunction when the atom is initially in an excited state. The result presented in this context is employed to discuss the collapses–revivals phenomenon, the photon statistics and frequency sum squeezing phenomenon. The influence of the detuning on these phenomena are investigated for two four-level atomic systems. We found that the presence of the detuning leads to an increase of the collapse time while the amount of squeezing decreases. Also, the photon statistics is affected by the existence of the detuning parameters where the anti-bunching effect appears.

DOI
10.1142/s0217984908017321

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In this paper, the interaction between two two-level identical atoms and two modes has been discussed. The detuning parameters and the cross-Kerr nonlinearity have been taken into account. The exact solution of this model when the atoms are initially prepared in their excited or ground states has been obtained. The time-dependent parameters of the anti-bunching of photons, the coherent properties, the normal squeezing and the sum squeezing have been calculated. The effects of the detuning and cross-Kerr nonlinearity on the temporal behavior of these parameters have been analyzed. The results showed that the considered atomic system is sensitive to variations in both the detuning and the cross-Kerr nonlinearity parameters.
Resonant interaction of a collection of two-level atoms with a single-mode coherent cavity field is considered in the framework of the Dicke model. We focus on the role of collective atomic effects in the phenomenon of collapses and revivals of the Rabi oscillations. It is shown that the behavior of the system strongly depends on the initial atomic state. In the case of the initial half-excited Dicke state we account for a number of interesting phenomena. The correlations between the atoms result in a suppression of the revival amplitude, and the revival time is halved, compared to the uncorrelated fully excited and ground states. The phenomenon of squeezing of the radiation field in the atom-field interaction is also discussed. For the initial fully excited and ground atomic states, the field is squeezed on the short-time scale, and squeezing can be enhanced by increasing the number of atoms. Some empirical formulas are found which describe the behavior of the system in excellent agreement with numerical results. For the half-excited Dicke state, the field can be strongly squeezed on the long-time scale in the case of two atoms. This kind of squeezing is enhanced by increasing the intensity of the initial coherent field and is of the same nature as revival-time squeezing in the Jaynes-Cummings model. The appearance of this long-time squeezing can be explained using the factorization approximation for semiclassical atomic states.
In this paper, we study the interaction between the time-dependent field and a two-level atom with one mode electromagnetic field. We consider that the field of photons is assumed to be coupled with modulated coupling parameter which depends explicitly on time. It is shown that the considered model can be reduced to a well-known form of the time-dependent generalized Jaynes–Cummings model. Under special initial conditions, in which the atom and the field are prepared in the excited and the coherent states, respectively, the explicit time evolution of the wave function of the entire system is analytically obtained. Our proposal has many advantages over the previous optical schemes and can be realized in several multiple experiments, such as trapped ions and quantum electrodynamics cavity. The influence of the time-dependent field parameter on the collapses-revivals, the normal squeezing of the radiation, the anti-bunching of photons and the entanglement phenomena for the considered atomic system is examined. The linear entropy, the von Neumann entropy are used to quantify entanglement in the quantum systems. We noticed that these phenomena are affected by the existence of both the time-dependent coupling field and detuning parameters.
In this paper, we investigate the collapse-revival phenomenon and the Poissonian statistics of a four-level N -configuration atom interacting with two-mode cavity fields. We assume that the transition between the upper level and the third level of an atom is coupled by the frequency of mode one, while the other transitions are coupled by the frequencies of the two modes or mode two. The interaction is a multi-photon process and a Kerr medium is taken into account in the non-resonant case. We solve the models when the atom is initially prepared in a coherent superposition of the upper and ground states and the field is considered in a coherent state. The effects of both the detuning and the Kerr medium on the temporal behaviour of some statistical aspects are analysed. The conclusions are reached and some features are given.