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Journal of Atomic and Molecular Physics

Population Inversion of Two Atoms under the phase decoherence in the multiphoton process

Dong Zhang, Qi Mu

Published Jan 1, 2011• 0 citations
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Abstract

By means of the quantum theory,the population inversion of two atoms in the system of two two-level atoms coupled to a light field in the Binomial Optical Field are investigated in the presence of phase decoherence in the multiphoton Tavis -Cumming Model.The influences of the phase decoherence coefficient,the parameters η of the binomial optical field,the maximum number of photons and the number of the transitional photons on the properties of the population inversion of two atoms have been discussed. The results show that the phase decoherence reduced the oscillation amplitude of the population inversion of two atoms and destroyed the atomic quantum characteristic.Changing the number of the transitional photons,evolved cycle and evolved intensity the population inversion of two atoms can be changed.The phenomena of collapse and revival disappear as photon number increase.When the binomial optical state changes from a coherent state to a Fock state,the oscillation frequency of the atomic population reduces gradually,the phenomena of collapse and revival vanishes gradually.

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By means of the quantum theory,the population inversion of two atoms in the system of two two-level atoms coupled to a light field in the Binomial Optical Field are investigated in the presence of phase decoherence in the multiphoton Tavis -Cumming Model.The influences of the phase decoherence coefficient,the parameters η of the binomial optical field,the maximum number of photons and the number of the transitional photons on the properties of the population inversion of two atoms have been discussed. The results show that the phase decoherence reduced the oscillation amplitude of the population inversion of two atoms and destroyed the atomic quantum characteristic.Changing the number of the transitional photons,evolved cycle and evolved intensity the population inversion of two atoms can be changed.The phenomena of collapse and revival disappear as photon number increase.When the binomial optical state changes from a coherent state to a Fock state,the oscillation frequency of the atomic population reduces gradually,the phenomena of collapse and revival vanishes gradually.
When single mode coherent light field interacts with two-level atomic mixed-state,the properties of the atomic population inversion is studied by means of the multi-photon anti-Jaynes-Cummings model.The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed.The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion.With the increasing of the average photon number of the coherent light field and the transition photon number,the revival period and attenuation time of collapse will change.With the increase of the average photon number of the coherent light field,the oscillation frequency of the atomic population inversion increases correspondingly.The revival period and attenuation time of collapse will not change,but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.
With the consideration of Milburn model of intrinsic decoherece,the atomic population inversion in the system of the binomial optical field interacting with a two-level atom is inverstigated.The influences of instrinsic decoherece,the parameters η of the binomial optical field and photon number on the atomic population inversion are discussed.The result show that the phenomena of collapse and revival will also appear with the intrinsic decoherece.The amplitude of the Rabi oscillation will be reduced to zero with the evolution of being time.The decay process is at faster rate with the values of the parameters of the instrinsic decoherece smaller.When the binomial optical state changes from a coherent state to a middle state then to a Fock state,the phenomena of collapse and revival can also occur.The Rabi oscillation frequency of the atomic population increases apparently.The phenomena of collapse and revival disappear as photon number increases.
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.
By means of the quantum theory and negative eigenvalues of the partial transposition,properties of entanglement evolution in system of two two-level atoms coupled to a light field in the Fock state are investigated in the presence of phase decoherence in the multiphoton Tavis-Cumming Model.The influences of the phase decoherence coefficient,dipole-dipole coupling intensity and number of transitional photons on properties of entanglement evolution between two atoms were discussed.The results show that the phase decoherence doesn't destroy coherence completely but attenuates oscillated amplitude of the entanglement degree between two entangled atoms.With increasing of the dipole-dipole coupling intensity and number of transitional photons,the two entangled atoms approach the entanglement state in which there is a stable entanglement degree finally.The better coherences between two atoms are,the larger value of entanglement degree between two entangled atoms can be obtained,and state in the two entangled atoms are more stable.
The atomic population inversion in the system of a two-mode SU(1,1) coherent field interacting with a two-level atom is investigated by solving Milburn equation. The effects on the atomic population inversion induced by the intrinsic decoherence, the two-mode photon number and the mean photon number are analyzed. The results show that the collapse and revival phenomena of the atomic population inversion will appear when the two- mode photon number is not zero and will disappear gradually with the decrease of the mean photon number. The collapse and revival phenomena of the atomic population inversion will also appear with the intrinsic decoherence, but the amplitude of the Rabi oscillation will be reduced to zero with the evolution of the time.
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.