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Chinese Physics

Influence of atomic motion on the population and dipole squeezing of a cascade three-level atom in cavity field

Ai‐Dong Zhu, Zhang Shou

Published Jul 29, 2004• 3 citations
Publisher

Abstract

The dynamical property of a cascade three-level atom is investigated in the condition of atomic motion. The influence of atomic motion on the population and dipole squeezing is discussed. The results show that atomic motion makes the amplitude of atomic population be steady and increasing the parameter ε p which denotes the atomic motion and the structure of field mode can shorten the period of collapse–revivals. By choosing an appropriate parameter ε p , we can obtain a dipole squeezed atom of long standing.

DOI
10.1088/1009-1963/13/8/016

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The dynamical property of a cascade three-level atom is investigated in the condition of atomic motion. The influence of atomic motion on the population and dipole squeezing is discussed. The results show that atomic motion makes the amplitude of atomic population be steady and increasing the parameter ε p which denotes the atomic motion and the structure of field mode can shorten the period of collapse–revivals. By choosing an appropriate parameter ε p , we can obtain a dipole squeezed atom of long standing.
The squeezing effect and atomic population of the binomial field interacting with a cascade three level atom are calculated accurately without rotating-wave approximation(without RWA) by using the complete quantum theory.The influences of the binomial state field parameter η on the field squeezing effect and the maximum photon number M of the binomial state field on the atomic population are considered.The results obtained from using the numerical method show that with increase of the binomial state field parameter η,the duration of the squeezing effect increases at first and then decreases.The little indentation oscillation appears in the evolution curves of the field squeezing effect,which is caused by virtual photon without RWA.The period of the revival-collapse increases with the increase of the maximum photon number M,and the atomic population can not collapse completely in the collapse regime,but displays little indentation oscillation.In addition the influence of the without-RWA terms on the quantum properties of the system are discussed.
By using the full quantum theory,the time evolution of atomic dipole squeezing parameters of a Λ-type three-level atom interacting with a single-mode coherent cavity field is investigated.The influence of the initial coherent-field intensity,the initial atomic coherence,the initial populations on the two lower atomic levels and their energy splitting on the atomic dipole squeezing are studied.Results show that the amount of dipole squeezing increases while the duration of dipole squeezing decreases with increasing initial field intensity.In the case of degenerate lower atomic states maximum dipole squeezing is reached when the two states have equal initial phases and equal populations.Exchange of initial populations in the lower atomic states does not influence time evolution of diploe squeezing.Atomic energy level splitting is helpful to dipole squeezing generation under certain conditions.
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 influence of atomic motion on squeezing of the double-mode field in the interaction with a moving V-type three level atom is investigated by means of the quantum theory and the method of numerical analysis. The results show, on the one hand, when the initial photon field is in non-correlative coherent state of double-mode, only the quadrature U 1 is squeezed and the squeezed degree of U 1 increases with the increasing of the parameter β which describes the atomic motion and structure of the field mode. On the other hand, when the initial field is in the vacuum squeezed state of double-mode, the quadrature U 2 is squeezed principally and we can obtain a steady squeezed light by choosing an appropriate parameter β.