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Journal of Yunnan Normal University

Time-evolution of the Atom's Occupancy in Multiphoton Tavis-Cummings Model

LU Dao-ming

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Using Tavis-Cummings model,the evolution of the atom's occupancy in interaction of two coupling two-level atoms with the single mode coherent field through multiphoton transition is studied.The influences of coupling coefficient between atoms,the initial mean photon number of field and the degree of entanglement of two atoms on the evolution of the atom's occupancy are discussed.The results obtained by numerical calculations show that the initial mean photon number of field influences violently the evolution properties of the atom's occupancy,the influence of coupling coefficient between atoms may be neglected,and the degree of entanglement of two atoms influences the reverse of atoms.

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Using Tavis-Cummings model,the evolution of the atom's occupancy in interaction of two coupling two-level atoms with the single mode coherent field through multiphoton transition is studied.The influences of coupling coefficient between atoms,the initial mean photon number of field and the degree of entanglement of two atoms on the evolution of the atom's occupancy are discussed.The results obtained by numerical calculations show that the initial mean photon number of field influences violently the evolution properties of the atom's occupancy,the influence of coupling coefficient between atoms may be neglected,and the degree of entanglement of two atoms influences the reverse of atoms.
We investigated the entanglement time evolution of two entangled two-level atoms. The two atoms can undergo multiphoton transition when they interact resonantly with a single-mode field in the coherent state. The results show that the two-atom entangled state evolves periodicity. The influence of the two-atom initial state，the dipole-dipole coupling intensity between two atoms，the parameter of the coherent state and the number of the transitional photons on the entanglement degree of two atoms are revealed. When the initial state is a maximum entangled state，the state of the two entangled atoms will forever stay in this maximum entangled state. So this kind of entanglement state can be used for quantum information storage.
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 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 time evolution of atom's occupation in a double Jaynes-Cummings model,where two atoms are in mixed state,was investigated by full quantum theory and numerical method,and the influences of atomic initial state and mean photon number in cavity on atom's occupancy are discussed.The results show when the two cavities have the same photon number,evolution of atom's occupation is only related to the purity r of atomic initial state and field intensity,but not influenced by initial entanglement.If the mean photon number in cavities is not equal,the evolution of atom's occupation is not only related to the purity r and field intensity,but also strongly influenced by the initial entanglement.
The quantum properties of atoms in Gaussian coupling Tavis-Cummings model in the multi-photon transition process are studied.The influence on atomic population inversion and double-atom dipole squeezing 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 with the numerical calculation method.The results show that the variation of atomic motion changes the time for effective action between atomic population inversion,double-atom dipole squeezing and fight field.The variation of number of transition photons changes oscillation amplitude and frequency of time evolution of atomic population inversion and double-atom dipole squeezing.