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Journal of Optoelectronics·laser

Quantum entanglement of the binomial field interacting with the moving atoms in tavis-cummings model

Cui Ying-hua

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The field entropy evolution of two moving atoms interacting with the binomial field in Tavis-Cummings model is studied by means of the quantum theory.The influences of atomic motion and the parameters of the binomial optical field under different initial states are discussed emphatically.With the increase of the parameters of the binomial optical field,the entanglement degree between field and atoms is strengthened firstly and is weakened later.When the field is in the middle states,And as the speed of the moving atoms increases,the atom-field system will stay in the maximum entangled state.the entanglement degree between the field and atoms is weaken and the periodicity of the evolution of the field entropy decreased.When the field is in the middle states and the atoms is at the lower speed,the entanglement between the binomial field and the two atoms can be kept for much longer time.

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Acta Sinica Quantum Optica•Jan 1, 2009•0 citations
The field entropy evolution of two moving atoms interacting with the binomial field in Tavis-Cummings model is studied by means of the quantum theory.The influences of atomic motion and the parameters of the binomial optical field under different initial states are discussed emphatically.With the increase of the parameters of the binomial optical field,the entanglement degree between field and atoms is strengthened firstly and is weakened later.When the field is in the middle states,And as the speed of the moving atoms increases,the atom-field system will stay in the maximum entangled state.the entanglement degree between the field and atoms is weaken and the periodicity of the evolution of the field entropy decreased.When the field is in the middle states and the atoms is at the lower speed,the entanglement between the binomial field and the two atoms can be kept for much longer time.
The atoms′ entanglement character of the moving atoms in tavis-cummings model with the binomial field interacting is studied.The results indicate that the two moving atoms entanglement state appears periodically.The influences of the atomic motion and the parameters of the binomial light field on the atoms′ entanglement character are discussed by means of the full quantum theory.The parameters of the binomial optical field has an effect on the entanglement、the frequency of oscillating and the range appearing entanglement phenomenon,but it does not influence periodicity of the entanglement of the evolution.The two atom′s speed influence the periodicity of the entanglement of the evolution in the middle state of the optical field.The atom′s speed does not influence the value of the entanglement and the frequency of oscillating of the atoms.
Using negative entropy method,the quantum entanglement characteristics of the system of binomial optical field interacting with moving atom were studied.The influences of the atomic initial state,field-mode structure parameter,maximum photon number of binomial field,coefficient of binomial field,transition photon number and detuning were discussed.The results show that the value of entanglement degree of the system appears regular evolution and entanglement sudden death(ESD) phenomenon when atomic motion was considered.The increasing of the field-mode structure parameter shortens the period of the entanglement and results in a slight decreasing of amplitude.The atomic initial state affects the entanglement degree of the system.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With increase of the maximum photon number of binomial field,the value of the entanglement degree of system becomes small,but the period for regular evolution is almost unchanged.When the field is in the middle states,the entanglement degree is smaller relatively.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.
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.
The properties of entanglement evolution between field and two atoms in Gaussian coupling Tavis-Cummings model in the multi-photon transition process are studied on the quantum theory.The influence on the properties of entanglement evolution between field and two atoms from atomic motion,the mean photon number in initial states of the light field,number of transition photons in the multi-photon transition process are discussed.The results show that the variation of atomic motion changes the time for the effective action to the evolution of field entropy.Initial states of the light field affect the evolution period to field entropy.With the increasing of the number of transition photons,the oscillation frequency and the mean degree of entanglement between field and atoms become larger.
By means of the quantum theory and the method of the negative eigenvalues of the partial transposition,the properties of entanglement evolution in the system of two two-level atoms coupled to a light field in the binomial state for radiation field are investigated in the presence of phase decoherence in the multiphoton Tavis-Cumming Model.The influences of the maximum number of photons,the coefficient of binomial state for radiation field,the phase decoherence coefficient and the number of the transitional photons on the entanglement degree between two atoms have been discussed.The results show that the entanglement between two atoms will get steady state more easily,and the steady value of the entanglement degree is bigger than before with the increase of the maximum number of photons in the presence of phase decoherence.The entanglement between two atoms will approach a steady state more easily.The steady value will be diminished with the increase of the coefficient of binomial state for radiation field in selecting the proper parameter.The periods of the entanglement evolution are more obvious when the coefficient η of binomial state for radiation field is smaller.The entanglement evolution does not have the periodicity and tends the disentanglement phenomenon easily with the increase of the phase decoherence coefficient.The periods of the entanglement evolution is shorten and the entanglement intensity is weaken with the increase of the number of the transitional photons.
The field entropy evolution in a system which is composed of two moving entangled atoms interacting with the squeezed coherent state is studied by means of the full quantum theory.The influences of the coherent amplitude factor,the squeezing factor,the atomic motion and the field-model structure parameter on the field entropy are discussed.The result shows that the atomic motion leads to the periodic evolution of the field entropy.An increase of coherent amplitude factor weaken the degree of entanglement between the atoms and the light field.However,an increase of squeezing factor of light strengthen the degree of entanglement between the atoms and the light field.With increasing atomic speed or field-model structure parameter,the evolution period of the field entropy becomes shorter,and the degree of entanglement between field and moving atoms becomes smaller.