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Journal of Hunan University

Influence of the Dipole-Dipole Interaction between Atoms on the Entanglement Degrees of the Relative Entropy in the Tavis-Cummings Model

Shuangchun Wen

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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.

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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.
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We investigate the entanglement time evolution of two entangled two-level atoms that interact resonantly with a single-mode field in the Fock state. The results show that the two-atom entanglement state appears with periodicity. The influence of the two-atom initial state, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the entanglement degree of two atoms are revealed. Meanwhile the two-atom quantum state will forever stay in the maximum entangled state when the initial state is proper.
The entanglement character of two entangled atoms interacting with the binomial light-field in a multiphoton Tavis-Cumming model(T-C model) is studied by means of the quantum theory.The influences of the optical field parameters and the atomic dipole-dipole coupling intensity of the atoms on the properties of the entanglement between two atoms under different initial states are discussed.The results indicate that the periodicity of the entanglement between two atoms is influenced by the parameters of the binomial optical field.There are the entanglement phenomena at some values of nπ except the value of 5nπ(n=0,1,2,…).With the increase of the parameters of the binomial optical field,the range appearing entanglement phenomenon will increase gradually.Thereby the time in that the entanglement between the two atoms occurs will diminish.The atomic dipole-dipole coupling intensity has an effect on oscillating of entanglement and the entanglement degree between the two atoms.
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