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Journal of Jiangxi Normal University

Atomic Population in the System of the Three-Level Cascade Atom Interacting with 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 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.

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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.
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.
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 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.
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.