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Journal of Atomic and Molecular Physics

Atomic dipole squeezing in the system of the coherent states field Interacting with Entangled atoms in GHZ class states

Fang Shu

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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Journal of Jilin University(Science Edition)•Jan 1, 2006•0 citations
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 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.
In this article, the dynamical properties in the system of two identical twolevel entangled atoms interacting with a binomial optical field are studied by means of time evolution operator and numerical calculations. The results show that the time evolution of atomic population and atomic dipole squeezing depends on the degree of entanglement of the initial two identical twolevel entangled atoms and the parameters of the binomial state optical field. The atomic dipole moment can be completely squeezed via choosing appropriate parameters of the system.
By means of numerical calculations,the dipole squeezing of a Λ-type three-level atom interacting with two-mode entangled coherent states is investigated.The influences of the degree of entanglement of two-mode entangled coherent optics field and mean photon numbers of two-mode optics field on dipole squeezing of a Λ-type three-level atom are discussed.The results show that squeezing effect weakens with increase of degree of entanglement of two-mode entangled coherent optics field and with increasing of mean photon numbers of two-mode entangled coherent optics field.
The atomic dipole squeezing effects in the system of a two-mode entangled states interacting with a Σ-type three-level atom were studied.We analyzed the effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of atomic initial state,the detuning,and the mean photon numbers on the atomic dipole squeezing effects.The results indicate that the influence of the(degree) of entanglement of the two-mode entangled coherent states on the atomic dipole squeezing effects isn't noticeable.While the atomic initial state is in the ground state or excited state,the atomic dipole squeezing effects can not occur.While the probability of atomic initial state in ground state is equal to that in the excited state,the atomic dipole squeezing reaches its maximum.The enhancing of the detuning results in the increase of the frequency of atomic dipole squeezing.When the mean photon number of mode 1 remains unchanged and the mean photon number of mode 2 increases,the depth of atomic dipole squeezing decreases and the(frequency) of atomic dipole squeezing doesn't change.