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Chinese Journal of Quantum Electronics

Statistic properties of photon in the system of a two-mode odd-even entangled coherent states field interacting with atom in Kerr medium

Fang Shu-dong, Zhuo‐Liang Cao

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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.

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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 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 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 statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.