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Acta Physica Sinica

Dipole squeezing in the system of the two-mode entangled coherent field interacting with atoms in Bell states in Kerr medium

Lin Ji-Cheng, Zheng Xiao-hu, Zhuo‐Liang Cao, (1)安徽大学物理与材料科学学院，合肥 230039; (2)南京晓庄学院物理系，南京 210017；安徽大学物理与材料科学学院，合肥 230039

Published Jan 1, 2007• 5 citations
Publisher

Abstract

The atomic dipole squeezing effect in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent state field in Kerr medium are investigated by means of solving the Schrdinger equation and numerical calculations. The effects on the atomic dipole squeezing effect produced by the atomic initial state, mean photon number of light field, the degree of the entanglement of the entangled coherent field, the coupling strength of the Kerr medium with the light field and the coupling strength of dipole-dipole interaction between atoms are discussed. The results show that the dipole squeezing effect does not appear for the Bell state |β11>, while there can be dipole squeezing effect under certain conditions for the Bell states |β00> or |β01> or |β10>. In the latter case, the dipole squeezing effect depends on the coupling strength of the Kerr medium with the light field, the mean photon number and the degree of entanglement of the two-mode entangled coherent field.

DOI
10.7498/aps.56.837

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The atomic dipole squeezing effect in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent state field in Kerr medium are investigated by means of solving the Schrdinger equation and numerical calculations. The effects on the atomic dipole squeezing effect produced by the atomic initial state, mean photon number of light field, the degree of the entanglement of the entangled coherent field, the coupling strength of the Kerr medium with the light field and the coupling strength of dipole-dipole interaction between atoms are discussed. The results show that the dipole squeezing effect does not appear for the Bell state |β11>, while there can be dipole squeezing effect under certain conditions for the Bell states |β00> or |β01> or |β10>. In the latter case, the dipole squeezing effect depends on the coupling strength of the Kerr medium with the light field, the mean photon number and the degree of entanglement of the two-mode entangled coherent field.
The light squeezing effects in the system of two identical two-level atoms in the Bell state interacting with the two-mode entangled coherent states field are investigated by means of Schrdinger equation solution and numerical calculations.The results show that light squeezing effects not only depends on the mean photon numbers and atomic initial state but also the degree of entanglement of the two-mode entangled coherent state optics field,whereas the coupling between two atoms does not affect the light squeezing effects.The light squeezing effects does not appear for a special kind of Bell state |β11〉,however there can appear the light squeezing effects under some conditions for the other three Bell states.
The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field in a Kerr medium is in a coherent state. Influence of the coupling constant ga of dipole-dipole interaction between atoms and the coupling strength x of the Kerr medium with the optical field on the double atoms dipole squeezing and optical field squeezing are discussed by numerical calculations. It is found that under weak optical field condition, large ga and x weaken the atomic dipole squeezing; and under strong optical field condition, large ga increases the optical field squeezing events while large x reduces the frequency.
In this article,the atomic dipole squeezing effects in the system of three identical two-level entangled atoms interacting with the coherent states field are investigated by mean of Schrdinger equation solution and numerical calculations.The results show that the time evolution of the atomic dipole squeezing parameters depends on the degree of entanglement of the entangled atoms and the intensity of the coherent field.The atomic dipole squeezing parameter decreases with the increasing of the degree of entanglement.
The atomic dipole amplitude-squared squeezing effects of a Ξ-type three-level atom interacting with two-mode entangled coherent states are investigated.The effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of the atomic initial state,the detuning,the mean photon number and the atom-field coupling constant on the atomic dipole amplitude-squared squeezing are analyzed.The results indicate that the light squeezing effects depend on the degree of entanglement of the two-mode entangled coherent optical fields,the detuning,the mean photon numbers,the atom-field coupling constant and the atomic initial state.
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.