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Journal of Atomic and Molecular Physics

Entanglement in the system of a V-type three-level atom interacting with the two-mode odd-even entangled coherent field in Kerr medium

Zou Yan

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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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.
The quantum reduced entropy evolution of a V-type three-level atom interacting with the two- mode odd-even entangled coherent field is investigated.The effects of the detuning,mean photon numbers of field,the atom's initial state and the degree of the entanglement of the two-mode odd-even entangled coherent fields on the entropy are discussed.The results show that the oscillation of the entropy presents collapses and revivals with the increasing of the detuning or the mean photon number.The mean-value of field entropy decreases with the increasing of the detuning.But it increases with the increasing of the mean photon number.The mean-values of field entropy are higher when the atom is initially in excited state or superposition state than that of in ground state.The mean-value and the amplitude of field entropy decrease with the increasing of the degree of the entanglement of the two-mode odd-even entangled coherent fields.
The statistic properties of photon in the system of a two-mode odd-even entangled coherent states field interacting with a V-type three-level atom in Kerr medium are investi- gated by solving Schr dinger equation and numerical calculations.The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode odd-even en- tangled coherent states field,the coupling strength of the Kerr medium with the light field, the mean photon numbers and the ground state probability amplitude of atomic initial state are analyzed.The results indicate that the influence of the degree of entanglement of the two-mode odd-even entangled coherent states fields on the statistic properties of photon isn't noticeable.But the enhancing of Kerr effect,the decreasing of mean photon numbers and the increasing of the ground state probability amplitude of atomic initial state cause the time evolution curves to move up or down distinctly.The enhancing of Kerr effect results in the increase of the oscillating frequency of the curve and the decrease of the oscillating amplitude of the curve.When the mean photon numbers of the mode 1 remain unchanged and the mean photon numbers of the mode 2 are decreased,the oscillating amplitude of the curve is increased.
The entropy properties of the light field of coupled identical Λ-type three-level atoms interacting with vacuum field in cavity filled with Kerr medium were investigated by means of quantum theory.The time evolutions of the entropy of the light field were discussed via the initial state of the system,detuning,coupling coefficient between the atoms,and the Kerr coefficient.Numerical calculation results show that the evolution of the entropy of the light field exhibits periodic oscillation,and its frequency and amplitude are intensively dependent on the initial state of the system.When the detuning the oscillation amplitude decreases with the increases of coupling strength and Kerr coefficient.
The information entropy properties of the coupled V-type three-level atoms interacting with the coherent field are studied by means of quantum theory.Numerical calculation results show that the average photon number in the initial state plays an important role in the time evolutions of the atomic information entropy.When the average photon number in the initial state is large,the time evolution of the atomic information entropy exhibits apparent collapse and revival phenomenon.The amplitude of the excited state in the initial state,the coupling constant between two atoms,the detuning and Kerr coefficient make significant influence on the time evolution of the atomic information entropy,respectively.
The entropy properties of field in the system of coupled identical V-type three-level atoms interacting with vacuum field in cavity filled with Kerr-like medium are studied by means of quantum theory. The time evolution of entropy of field via the initial state of the atomic system,coupling coefficient between the atoms and Kerr coefficient are discussed.Numerical calculation results show that when the ground state and excited state of atoms are in appropriate superpositions state,the entropy of field is behaving periodic oscillation.The oscillation frequency and amplitude are depending on the coupling constant between atoms and the third-order nonlinear coefficient of Kerr-like medium.Therefore,the entropy of field is very sensitive to the atomic initial state.
The correlation properties of the uncorrelated two-mode thermal field during their interaction with V-type three-level atom in the Kerr medium cavity is studied.By numerical calculation and graphic analysis,the influences of the Kerr medium,the detuning,mean photon number and coupling constant on correlation property are discussed.The result shows that;when the V-type three-level atom is interacting with initial uncorrelated two-mode thermal field,the correlation of the two-mode field will take place and the correlation intensity of the fields depends on the coupling strength,the detuning and the Kerr medium;when the two-mode thermal field interacts with nude atom symmetrically,the two-mode field is always positive correlative;with the mean photon number of one mode increasing,the correlation intensity of the field will decrease;the enhancing of Kerr medium and detuning will reduce the correlation intensity of the fields;when the two-mode thermal field interacts with nude atom nonsymmetrically,without loss of generality,supposed g1g2,the property of correlation appears alternately between correlation and anti-correlation;when the mean photon number of one mode remains unchanging and the mean photon number of the other mode increases,anti-correlation will disappear.