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Chinese Journal of Quantum Electronics

Influence of detuning on entanglement evolution of cascade three-level atom in Kerr medium

Kun Li

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

The effects of optical field coherence parameter,modular photon number,Kerr medium coefficient and detuning on the entanglement evolution of cascade three-level atom in Kerr medium are studied based on quantum theory and numerical calculation.The results show that the entanglement between atoms is enhanced in stronger optical field and the entanglement become steady by increasing the modular photon number.Kerr effect is remarkable in more photon number.With invariable Kerr medium,the increase of detuning will strengthen the entanglement strength,but this effect primarily incarnates on initial time of interacting.

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•Jan 1, 2011•0 citations
The effects of optical field coherence parameter,modular photon number,Kerr medium coefficient and detuning on the entanglement evolution of cascade three-level atom in Kerr medium are studied based on quantum theory and numerical calculation.The results show that the entanglement between atoms is enhanced in stronger optical field and the entanglement become steady by increasing the modular photon number.Kerr effect is remarkable in more photon number.With invariable Kerr medium,the increase of detuning will strengthen the entanglement strength,but this effect primarily incarnates on initial time of interacting.
Under the assumption that the input field is in the coherent state and the atom is prepared in the most excited state,the time evolution of the Mandel Q factor in a system consisting of a cascade atom embedded in a Kerr medium is investigated by using the full quantum mechanical scheme. It is found that Kerr effect has a great influence on the non-classical photon statistics in the case of large single-photon detuning in the system.Kerr effect suppresses non-classical photon statistics for the weak input coherent field and enhances it for the strong input coherent field.
The quantum reduced entropy properties of a V-type three-level atom interacting with the two-mode odd-even entangled coherent field in Kerr medium are studied by means of quantum theory.The effects of the Kerr medium's coupling constant,the detuning,mean photon numbers of the fields on the entropy are discussed.The results show that the coupling strength of Kerr medium with the field influences the frequency of the entropy.The maximum values of entropy evolution decreases with the increasing of the detuning,meanwhile the frequencies increase,and the needed time to get the maximum value from the initial value zero is longer.When the mean photon numbers are too less or too more,the maximum values of entropy oscillation are much smaller.
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 quantum entanglement of the two mode coherent field interacting with a cascade three-level atom was calculated accurately with non-rotating wave approximation by using the complete quantum theory.The influences of the superposition between different atomic energy level at the initial time and the mean photon number on quantum entanglement evolution were considered.The results obtained by the numerical method show that the period of the quantum entanglement evolution becomes longer with the increase of the mean photon number when the atom initially at the single energy level,the quantum entanglement at the first few periods is reduced notably due to the fact of the atom is initially in the superposition state,it takes longer time for the entanglement to reach the maximum value with the increase of the mean photon number,moreover,because of the atom is initially in the superposition state,the periodic disappears.No matter which atom state,the quick oscillation due to the virtual photon process increases with the increasing of the mean photon number.
The evolution properties of entanglement degree between the light fields and atoms in the additional Kerr medium intensity-dependent coupling J-C model is researched by use of the method of part of the density matrix transpose matrix of negative eigenvalue,and the influence of Kerr medium on entanglement degree can be discussed as well.It is found that the time evolution of atom-field entanglement degree oscillate periodically.The period depends on the strengths of the field-atom coupling and field-medium interaction,and the period becomes smaller with the increase of the strengths.The cycle will reduce gradually with the intensity increasing.The entanglement degree reduces significantly with the number of photons rising or with the strengths of the field-atom coupling and field-medium interaction increasing.The initial state of the field plays an important role in the atom-field entanglement degree.