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Chinese Journal of Quantum Electronics

Evolution properties of Mandel factor in the system of the V-type three-level atom interacting with a squeezedcoherent light field in a Kerr medium

Liu Su-mei

Published Jan 1, 2004• 0 citations
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Abstract

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.

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Acta Physica Sinica•Jan 1, 2004•0 citations
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 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.
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.
In this paper the evolution characteristics of the fidelity of quantum information for the V-type three-level atom interacting with number state light field in Kerr medium are investigated. It shows that the periodicity of the evolution of fidelity of quantum information is influenced by the Kerr coefficient, the photon number of the initial field and intensity of light. The evolutions of the fidelity of quantum information are modulated by the initial number state field. The Rabi oscillation frequency and the modulation frequency of fidelity for the field and the system vary with the value of the Kerr coefficient. The evolutions of fidelity of quantum information obviously show the quantum collapse and revival behaviours in the system of atom interacting with light field.
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.