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Journal of Guizhou University

The Cross-correlation Function between Atoms in Two-Mode Squeezing Vacuum State Tavis-Cummings Model

Long Zheng

Published Jan 1, 2008• 0 citations

Abstract

The dipole-dipole interaction of the two atoms have been considered.By considering the interaction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the the cross-correlation function between atoms in two-mode squeezing vacuum state Tavis-Cummings model.With the help of the computer's simulation,we get the correlation function's figures of proceeding evolution by time.finally.Analyze the changes of the function when we fix the squeezing index r and change the dipole-dipole interaction constant ga the phase φ and the inicial state whitch is determined by θ.The result of our discussion indicates that k is important to the cross-correlation of the system.When the two atoms are initially in the excited state,increase k can increase the correlation and its frequency.Analogically,when the two atoms are initially in one of the Bellstates,increase k can increase the correlation.

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The dipole-dipole interaction of the two atoms have been considered.By considering the interaction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the the cross-correlation function between atoms in two-mode squeezing vacuum state Tavis-Cummings model.With the help of the computer's simulation,we get the correlation function's figures of proceeding evolution by time.finally.Analyze the changes of the function when we fix the squeezing index r and change the dipole-dipole interaction constant ga the phase φ and the inicial state whitch is determined by θ.The result of our discussion indicates that k is important to the cross-correlation of the system.When the two atoms are initially in the excited state,increase k can increase the correlation and its frequency.Analogically,when the two atoms are initially in one of the Bellstates,increase k can increase the correlation.

The dipole-dipole interaction of the two atoms is discussed.By considering the in- teraction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the quantum information fidelities of the atoms the field and the system in two- mode squeezing vacuum state Tavis-Cummings model.With the help of the computer sim- ulation,the time evolution of fidelity of system,atoms and field is obtained.The result is indicate that r and k are important to the fidelity of the quantum information.When the two atoms are initially in the groud state,decreasing r can increase the three fidelities.On the contrary,when the two atoms are initially in one of the Bell states,increasing r can increase the three fidelites.

We discuss the effects of the initial atomic coherent factors (including the phase and the distribution parameter) and the dipole-dipole interaction on the sum and two-atom dipole squeezing in the system. The results show that the maximum squeezing in both cases is determined by the phase and the distribution parameter and the duration of squeezing becomes longer by strengthening the dipole-dipole interaction. In addition, the comparison of the two types of squeezing shows that one type of squeezing is obtained at the expense of increased fluctuations in the other squeezing function.

We discuss the effects of the initial atomic coherent factors (including the phase and the distribution parameter) and the dipole-dipole interaction on the sum and two-atom dipole squeezing in the system.The results show that the maximum squeezing in both cases is determined by the phase and the distribution parameter,and the duration of squeezing becomes longer by strengthening the dipole-dipole interaction.In addition,the comparison of the two types of squeezing shows that one type of squeezing is obtained at the expense of increased fluctuations in the other squeezing function.

The entanglement degrees of two coupling-atoms interacting with a single-mode vacuum field in the Tavis-Cummings model were investigated by using quantum relative entropy.The influence of the dipole-dipole interaction between atoms on the entanglement degrees of the relative entropy was discussed.The results indicated that the entanglement degrees of atom-atom and atom-field evolved periodically with the antiphase.The increase of the atomic dipole-dipole coupling led to the increase of evolution period,the constant of atom-atom entanglement degree while the decrease of atom-field entanglement degree.

The dipole difference squeezing of a pair atoms is defined. The time evolution properties of difference squeezing of atomic dipole and amplitude-squared squeezing of light in the system of a single-mode squeezing vacuum field Raman interacting with two coupled-atoms are studied by means of quantum theory. Using the numerical method, influences of the initial squeezing parameter of light, the atomic initial state and the intensity of dipole-dipole interaction between atoms on the squeezing properties of atom and light are discussed.