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Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen ban

The Atomic Population Inversion in the System of Schrdinger Cat State Light Field interacting with a Two-level Atom under Intrinsic Decoherence Condition

WU Shu-mei

Published Jan 1, 2010• 0 citations
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Abstract

The atomic population inversion in a system of a two-level atom interacting with the Schrdinger cat state light field was studied by solving the Milburn equation.The effect of intrinsic decoherence,the strength of light field and the phase angle between the two coherence states on atomic population inversion were analyzed.The results show that the atomic population inversion decreases to zero with the evolvement of time under intrinsic decoherence.The atomic population inversion damps strongly with the reducing of the intrinsic decoherence as the strength of light field is at a fixed value.The atomic population inversion decreases quickly in an odd coherent state but slowly in an even coherent state.The value of atomic population inversion in a Yurke-Stoler coherent state is between them.When the intrinsic decoherence keeps at the fixed level,the collapse and revival phenomena will be appear with the increase of the strength of light field.Rabi oscillation damps to zero faster.

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Journal of Atomic and Molecular Physics•Jan 1, 2011•0 citations
The atomic population inversion in a system of a two-level atom interacting with the Schrdinger cat state light field was studied by solving the Milburn equation.The effect of intrinsic decoherence,the strength of light field and the phase angle between the two coherence states on atomic population inversion were analyzed.The results show that the atomic population inversion decreases to zero with the evolvement of time under intrinsic decoherence.The atomic population inversion damps strongly with the reducing of the intrinsic decoherence as the strength of light field is at a fixed value.The atomic population inversion decreases quickly in an odd coherent state but slowly in an even coherent state.The value of atomic population inversion in a Yurke-Stoler coherent state is between them.When the intrinsic decoherence keeps at the fixed level,the collapse and revival phenomena will be appear with the increase of the strength of light field.Rabi oscillation damps to zero faster.
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 field entropy evolution in a system of the Schrodinger cat state light field interacting with a two-level atom was studied by solving Milburn equation.The influence of intrinsic decoherence,the strength of light field and the phase angle between the two coherence states on the field entropy evolution was discussed.The results show that the field entropy vibration will be weak gradually because of the intrinsic decoherence,and the degree of entanglement in the field-atom system approaches to a certain value with time evolution.Furthermore,the degree of entanglement in the field-atom system only depends on the strength of light field and the phase angle between the two coherence states,and have nothing to do with intrinsic decoherence.When the strength of light field is relatively small,the degree of entanglement is maximum in a system of a two-level atom interacting with an odd coherence state light field,and it is minimum in a system of a two-level atom interacting with an even coherence state light field;it is intermediate for a system of a two-level atom interacting with Yurke-Stoler coherence state light field.When the intrinsic decoherence is fixed and the strength of light field is relatively large,the degree of entanglement in the field-atom system existing in the Yurke-stoler,the even coherence state and odd coherence state tends to the same.
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.
Applying the method of coherent states orthogonalization expansion,the atomic population and the antibunching effect of the light field are studied in the system of interaction between a two-level atom and the Schrdinger cat state without rotating wave approximation( RWA). The results are compared with those in RWA.The influences of the original strength of the light field and two coherent phase angles on the atomic population and antibunching effect with RWA and without RWA are discussed respectively,and the antibunching effect in the weak coupling condition is also discussed without RWA. The results show that the atomic populations with RWA and without RWA have different properties with the different original strengths of the light field. As the original strength of the light field is smaller,the atomic populations with RWA and without RWA show the same properties,but with the increase of the original strength of the light field the population with RWA will show the collapse phenomenon. When the coupling strength is larger,the antibunching effects with RWA and without RWA have bigger difference. Without RWA the light field will appear bunching effect,whereas with RWA it will appear alternately the bunching effect and the antibunching effect with the increase of the original strength of light field.
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.