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Chinese Journal of Quantum Electronics

Dynamical of entangled atoms in GHZ states interacting with the Fock state field

Zhuo‐Liang Cao

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The dynamical properties in the system of three identical two-level entangled atoms interacting with the Fock states field are investigated by mean of Schrodinger equation solution and numerical calculations. The results show that the time evolution of the atomic population operator and second order coherence degree depend on the degree of entanglement of the entangled atoms and the intensity of the Fock states optical field. If the two atoms are in un-entangled state, the atomic population reveals the periodic collapse and revival phenomenon. The atomic population reveals vacuum Rabi oscillation when the optical field is in vacuum state, and the Rabi oscillation frequency of the atomic population is shown to increase with the growth of the intensity of the optical field. If the two atoms are in entangled state, the photon reveals the bunching phenomenon with the growth of the degree of the entangled state, and the second-order correlation function is shown to increase with the growth of the degree of the entangled state.

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The dynamical properties in the system of three identical two-level entangled atoms interacting with the Fock states field are investigated by mean of Schrodinger equation solution and numerical calculations. The results show that the time evolution of the atomic population operator and second order coherence degree depend on the degree of entanglement of the entangled atoms and the intensity of the Fock states optical field. If the two atoms are in un-entangled state, the atomic population reveals the periodic collapse and revival phenomenon. The atomic population reveals vacuum Rabi oscillation when the optical field is in vacuum state, and the Rabi oscillation frequency of the atomic population is shown to increase with the growth of the intensity of the optical field. If the two atoms are in entangled state, the photon reveals the bunching phenomenon with the growth of the degree of the entangled state, and the second-order correlation function is shown to increase with the growth of the degree of the entangled state.
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.
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.
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