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Journal of Atomic and Molecular Physics

Statistic properties of photon in the system of the two-mode odd-even entangled coherent states field interacting with a V-type three-level atom

Fang Shu-dong

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The statistic properties of photon in the system of the two-mode odd-even entangled coherent optical field interacting with a V-type three-level atom are investigated by mean of Schrdinger equation solution and numerical calculations.The results indicate that the statistic properties of photon depend on the degree of entanglement of the two-mode odd-even entangled coherent optical fields,the detuning,mean photon numbers and atomic initial state.

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Journal of Atomic and Molecular Physics•Jan 1, 2007•0 citations
The statistic properties of photon in the system of the two-mode odd-even entangled coherent optical field interacting with a V-type three-level atom are investigated by mean of Schrdinger equation solution and numerical calculations.The results indicate that the statistic properties of photon depend on the degree of entanglement of the two-mode odd-even entangled coherent optical fields,the detuning,mean photon numbers and atomic initial state.
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 statistic properties of photon in the system of a two-mode entangled coherent state interacting with a Ξ-type three-level atom are investigated by solving Schrdinger equation and using numerical calculations. The effects on the statistic properties of photon induced by the degree of entanglement of the two-mode entangled coherent state, the ground state probability amplitude of the atomic initial state, the detuning, the atom-field coupling constant and the mean photon number are analyzed. The results indicate that the influence of the degree of entanglement of the two-mode entangled coherent state on the statistic properties of photon is small. The increasing of the ground state probability amplitude of the atomic initial state causes the center of the time evolution curve to move up distinctly. The increasing of the detuning results in the decrease of the oscillating frequency of the time evolution curve. The influences of the atom-field coupling constant and the mean photon number on the statistic properties of photon are noticeable. The correlation of the two modes of light is non-classical all the time.
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.
By means of solving Schrdinger equation and numerical calculations,photon bunching and antibunching effect in the system of the two-mode entangled coherent states interacting with a moving V-type three-level atom is investigated.The results indicate that the effect of photon bunching and antibunching in the system intensively depend on mean photon numbers of the two-mode entangled coherent states and the speed of the atom.For a special mean photon number,the velocity of atom will afftect the effect of photon bunching and antibunching intensively.For those relatively large mean photon numbers,the initial state of the atom and the degree of entanglement of the two-mode entangled coherent states have no influences on the effect of photon bunching and antibunching.For those relatively small mean photon numbers,the initial state of the atom and the degree of entanglement of the two-mode entangled coherent states only have slight influences on the effect of photon bunching and antibunching.