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Journal of Dalian Jiaotong University

Properties of Entanglement Time Evolution of Two Entangled Atoms Interactions Two-Mode Cavity Fields Via Muliphoton Process

Shutian Liu

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

The entanglement time evolution of two entangled two-level dipole-dipole coupled atom interacting with two-mode strong coherent light field via multiphoton process were investigated.The resulets show that the two-atom entangled state evolves unregularly.The influence of the two-atom intial state,the dipole-dipole coupling intensity between the two atoms,the parameters of the cohernt state and the number of the transtional on the entanglement degree of two atoms are revealed.

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The entanglement time evolution of two entangled two-level dipole-dipole coupled atom interacting with two-mode strong coherent light field via multiphoton process were investigated.The resulets show that the two-atom entangled state evolves unregularly.The influence of the two-atom intial state,the dipole-dipole coupling intensity between the two atoms,the parameters of the cohernt state and the number of the transtional on the entanglement degree of two atoms are revealed.
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.
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 atomic population of a light-atoms interaction system,two atoms in Bell states Interacting with two-mode entangled coherent field,are investigated by means of quantum thoery and numerical method.The effect of the atomic initial state,mean photon numbers of field,the degree of the entanglment for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms on the atom's population are discussed by numerical calculation.The results show that the atomic population is time-independent provided that the atom is in |β11〉 state.For the other three Bell states,there will appear the periodical collapse-revival of the atomic population if the initial mean photon number reaches some special value.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 revival period of the atomic population for the initial states |β00〉 and |β10〉 is twice of that for the initial state |β01〉.The degree of entanglement of the two-mode entangled coherent field and the intensity of two dipole-dipole interaction between atoms have no effects on the frequency of the Rabi oscillation,but have obvious effects on the amplitude of the oscillation.
We investigate the entanglement time evolution of two entangled two-level atoms that interact resonantly with a single-mode field in the Fock state. The results show that the two-atom entanglement state appears with periodicity. The influence of the two-atom initial state, the dipole-dipole coupling intensity between two atoms, and the field in the Fock state on the entanglement degree of two atoms are revealed. Meanwhile the two-atom quantum state will forever stay in the maximum entangled state when the initial state is proper.
We investigate the time-evolution of the atom's occupancy in the system of two- mode coherent fields interacting with two atoms in Bell states via multiphoton process.The results show that the atom's occupancy is zero if the two atoms are initially in Bell state 1/2~(1/2)(|+,-〉-|-,+〉).The atom's occupancy is influenced by three factors,which are the intensity of two dipole-dipole coupled atoms,the coupling constant of light and atoms and the absorbing or emitting photon number per atomic transition,if the two atoms are initially in the other three Bell states.The oscillation frequency of the atom's occupancy accelerates apparently with the increase of the intensity of two dipole-dipole coupled atoms or the ab- sorbing or emitting photon number per atomic transition.The collapse-revival phenomenon of the atom's occupancy disappears when the intensity of two dipole-dipole coupled atoms is increased to some point.