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Acta Physica Sinica

Quantum properties of two-level atoms interacting with nonlinear coherent states

Wen-Jian Yu, Ji‐Suo Wang, Liang Bao-Long

Published Jan 1, 2012• 0 citations
Publisher

Abstract

Using the numerical method, we study the collapse and the recovery of atom, the anti-bunching and the amplitude-squared squeezing of two-level atoms interacting with nonlinear coherent field. The variations of the quantum properties with the parameter of light field, the initial state of the atom and the Lamb-Dicke parameter of the nonlinear coherent state are discussed.

DOI
10.7498/aps.61.060301

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Using the numerical method, we study the collapse and the recovery of atom, the anti-bunching and the amplitude-squared squeezing of two-level atoms interacting with nonlinear coherent field. The variations of the quantum properties with the parameter of light field, the initial state of the atom and the Lamb-Dicke parameter of the nonlinear coherent state are discussed.
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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.
The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field is in a Schrodinger cat state. Influence of the strength of optical field and the phase angle of the coherent states on the double atoms dipole squeezing and the optical field amplitude squeezing are discussed by numerical calculations. It is found that under weak optical field condition, the optical field amplitude squeezing of even coherent state and Yurke-Stoler coherent state interacting with entangled state of atoms is no existence, but the optical field amplitude squeezing of odd coherent states is existence. In the same condition, the double atomic dipole squeezing of even coherent states interacting with entangled state of atoms is no existence, but the double atomic dipole squeezing of odd coherent state and Yurke-Stoler coherent state is existence. Under strong optical field condition, two squeezing phenomenon is no existence.
The quantum properties and amplitude-squared squeezing effects of light field are studied in the system of two-mode SU(1,1) coherent states interacting with Bose-Einstein Condensate of V-type three-level atoms,and the squeezing properties of atomic laser have also been discussed.The results show that the quantum correlation properties of light field keep invariant in the process of interaction between light field and atomic BEC,and the photons of each mode produce antibunching effect.The correlation between the two modes shows the non-classical correlation in the process of interaction.There are amplitude-squared squeezing effects in these quantum states.The influence of field parameter and atom parameter on the depth and duration of squeezing are investigated.The two-mode atomic laser can be squeezed,but it is difficult to squeeze.The degree of squeezing is determined by initial light field.