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Journal of Jiangxi Normal University

The Photon Statistical Properties in the System of the Λ-Type Three-Level Atom Interacting with a Squeezed Coherent Light Field in a Kerr Medium

Liu Su-mei

Published Jan 1, 2002• 0 citations
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Abstract

In this paper, the photon statistical properties vs. time in the system of Λ-type atom interacting with squeezed coherent light field inside a high Q with a Kerr medium is investigated by means of the interacting picture.Meanwhile, the influence of Kerr medium μ, the squeezed light field factors γ the coherent vibration amplitude |α| 2 and the coupling parameters λ of the field-atom on the photon statistical properties are also discussed. It has been shown that the intensity coefficient μ of Kerr medium, the squeezed light field factor γ,the coherent vibration amplitude |α| 2 of the light field and the coupling parameter λ of the field-atom influence the quantum collapse-revival periodicity of the evolution curves of Mandel factor Q(t).Meanwhile, they all influence the states and properties of the photon statistical distribution of radiation field.

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In this paper, the photon statistical properties vs. time in the system of Λ-type atom interacting with squeezed coherent light field inside a high Q with a Kerr medium is investigated by means of the interacting picture.Meanwhile, the influence of Kerr medium μ, the squeezed light field factors γ the coherent vibration amplitude |α| 2 and the coupling parameters λ of the field-atom on the photon statistical properties are also discussed. It has been shown that the intensity coefficient μ of Kerr medium, the squeezed light field factor γ,the coherent vibration amplitude |α| 2 of the light field and the coupling parameter λ of the field-atom influence the quantum collapse-revival periodicity of the evolution curves of Mandel factor Q(t).Meanwhile, they all influence the states and properties of the photon statistical distribution of radiation field.
The evolution properties of Mandel Q(t) with time in the system of V-type atom interacting with squeezed coherent light field inside a high Q with a Kerr medium was investigated. It was shown that the intensity coefficient μ of Kerr medium, the squeezed light field factor γ, the coherent vibration amplitude |α|2 of the light field and the coupling parameter A of the field-atom influence the quantum collapse-revival periodicity of the evolution curves of Mandel factor Q(t). Meanwhile, they all influence the states and properties of the photon statistical distribution of radiation field.
In this paper, the atomic population evolution vs. time in the system of three-level cascade atom interacting with squeezed coherent light field in a Kerr medium is investigated by means of the interacting picture and the quantum theory. Meanwhile, the influence of Kerr medium μ, the squeezed light field factor γ and the coherent vibration amplitude |α| 2 of the field-atom on the atomic population is also discussed. It has been shown that the intensity coefficient μ of Kerr medium, the squeezed light field factor γ and the coherent vibration amplitude |α| 2 of the light field influence the quantum collapse-revival periodicity of the evolution curves of atomic population directly. And the non-linearity Kerr medium μ can weaken the interaction of the atom with the field. When Kerr medium μ and the interaction of the field-atom increase to a certain value, the correlation degree of light-field and atom will weaken and disappear.
The photon statistical evolution vs.time in the system of V-type atom interacting with squeezed coherent light field inside a high Q cavity field with a Kerr medium was investigated by means of the quantum theory.It has been shown that:the Kerr medium and the coupling parameters λ of the light field-atom will influence the periodicity of the evolution of the mean photon number,And Kerr medium meke the connected degree between field and atoms weaken.Meanwhile,the coherent vibration amplitude ｜α｜~2 and the squeezed light field factors γ also influence the periodicity of the evolution of the mean photon number;the connected degree between field and atoms is strengthen first and is weaken later when ｜α｜~2 and γ increase.
The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.
The photon statistical evolution in the process of two coupling two-level atoms interacting with the squeezed coherent state light field is investigated by means of the interacting picture and the quantum theory. Meanwhile, the influence of the squeezed light field factor γ, the coherent vibration amplitude |α|2 of the field-atom, the coupling constant g of two atoms and the coupling constant λ of atom-field on the mean photon number n(t) of stimulated field are also discussed. The relations of them are revealed.