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ACTA PHOTONICA SINICA

Population Inversion of Two Moving Atoms in a Cavity

Cai Xun-Ming, 邹光龙 ZOU Guang-long

Published Jan 1, 2011• 0 citations
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Abstract

In order to find out the effect of atomic motion on the population inversion of two atoms,the atomic states were analyzed by the method of quantum mechanics.It was found that the population inversion of two atoms was related to the field mode structure in an optical resonant cavity when the atoms were moving and the optical field was in coherent state.When two atoms in the cavity were fixed at initial time,the evolvement of population inversion of two atoms was periodic in the case of a small average photo number,and there were collapses and revivals of atomic inversion in the case of a large average photo number.The evolvement of population inversion of two atoms became well-regulated orderly under the coherent cavity field when atoms were in motion at initial time.The population inversion of two atoms will evolve in different periods when the two atoms move in axial direction at different velocity.The period of population inversion is the lease common multiple of periods of coupling coefficients between two atoms and field.When there are more average photon number in the cavity,the oscillation of population inversion will be faster.So it is possible to control the population inversion by properly choosing the velocity of atoms and the initial field.

DOI
10.3788/gzxb20114006.0944

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In order to find out the effect of atomic motion on the population inversion of two atoms,the atomic states were analyzed by the method of quantum mechanics.It was found that the population inversion of two atoms was related to the field mode structure in an optical resonant cavity when the atoms were moving and the optical field was in coherent state.When two atoms in the cavity were fixed at initial time,the evolvement of population inversion of two atoms was periodic in the case of a small average photo number,and there were collapses and revivals of atomic inversion in the case of a large average photo number.The evolvement of population inversion of two atoms became well-regulated orderly under the coherent cavity field when atoms were in motion at initial time.The population inversion of two atoms will evolve in different periods when the two atoms move in axial direction at different velocity.The period of population inversion is the lease common multiple of periods of coupling coefficients between two atoms and field.When there are more average photon number in the cavity,the oscillation of population inversion will be faster.So it is possible to control the population inversion by properly choosing the velocity of atoms and the initial field.
Entanglement evolution of two atoms is related to the field mode structure in an optical resonant cavity when the atoms are moving and the optical field is in coherent state.We know the evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However,the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning.We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms and the initial field.
Entanglement evolution of two atoms is related to the field mode structure in an optical resonant cavity when the atoms are moving and the optical field is in coherent state. We know the evolvement of entanglement of two atoms is disorderly when two atoms in the cavity are fixed at initial time. However, the evolvement of entanglement of two atoms becomes well-regulated orderly under the coherent cavity field when atoms are in motion at beginning. We find that it is possible to control this periodic entanglement by properly choosing the velocity of atoms and the initial field.
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.
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.
The time evolution of atomic population of the system, where the two identical two-level atoms in Bell states interact with two-mode entangled coherent field in a cavity filled with the Kerr medium, was investigated by means of quantum theory and numerical method. The effects of the atomic initial state, mean photon numbers of field, the degree of the entanglement for the entangled coherent field, and the coupling strength between the Kerr medium and field on the atom’s population are discussed via numerical calculations. The results show that the atomic population is time-independent provided that the atoms are in β11〉 state. For the other three Bell states, there will appear the periodical collapse-revival of atomic population if the initial mean photon number reaches some special values. With the increase of the initial mean photon number, the oscillation frequency of the time-evolution of atomic population increases correspondingly, and the amplitude decreases. The degree of the entanglement of the two-mode entangled coherent field has no effect on the frequency of the Rabi oscillation, but has an obvious effect on the amplitude of Rabi oscillation. When the coupling strength between the Kerr medium and field reaches some special values, it has the obvious effects on the cycle of collapse-revival of atomic population, the frequency and the amplitude of Rabi oscillation.