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Acta Sinica Quantum Optica

The Statistic Properties of Photon in the Two-mode Competition Model

Qin Wu

Published Jan 1, 2006• 0 citations
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Abstract

The statistic properties of photon in the two-mode competition model are studied from the perspective of quantum theory,and the influence of relative competing strength between the atom and the two-mode field on the statistic properties of photon is discussed.The results of numerical calculations indicate that the photon antibunching of the two-mode field appears periodically.On the other hand,the correlation of the two modes of light is aluays negative and this kind of correlation is non-classical in most of the time.

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The statistic properties of photon in the two-mode competition model are studied from the perspective of quantum theory,and the influence of relative competing strength between the atom and the two-mode field on the statistic properties of photon is discussed.The results of numerical calculations indicate that the photon antibunching of the two-mode field appears periodically.On the other hand,the correlation of the two modes of light is aluays negative and this kind of correlation is non-classical in most of the time.
The antibunching effects of the photon in the competing 3-and 1-photon transitions model are studied by means of quantum theory,and the influences of the relative competing strength between the atom and the two-mode field and the initial photon of the field on the second-order correlation function are discussed.It shows that the increase of the relative competing strength and the initial photon can lead to shortening the duration of antibunching effects of the photon.On the other hand,the hoton antibunching effect decreases with the increase of the initial photon of the field.
The statistic properties of photon of a light-atoms interaction system,and two atoms in Bell states interacting with two-mode entangled coherent field,were investigated by means of quantum theory and numerical method.The effect on the statistic properties of photon induced by the atomic initial state,mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms were analyzed by numerical calculations.The results indicate that photon anti-bunching effect does not appear for the Bell state ｜β00〉 or ｜β10〉,however there can appear the photon anti-bunching effect under some conditions for the Bell state ｜β01〉 or ｜β11〉 appears.In the case,the photon anti-bunching effect depends on the mean photon numbers intensively.The influence of the degree of entanglement for the two-mode entangled coherent fields and the coupling strength of dipole-dipole interaction between atoms on the statistic properties of photon is small.
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.
The atomic dynamical properties in the system with competing k -photon and l -photon transitions are studied fully by means of quantum theory. We discuss the influences of the mode–mode competition, the relative competing strengths of the atom and the two-mode field and the initial state of the system on the atomic dynamics. We show that the presence of the mode–mode competition can result in quite a periodical collapses-revivals of the atomic inversion and the increase of the initial photons of the system can lead to the collapse–revival phenomenon and prolong the revival time of the atomic inversion.
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.
We consider the system which is composed of a two-level atom and a two-mode cavity,and two modes are coupled in the cavity.The evolution of the state vector of the system is given.The squeezing,antibunching effect and the photon number statistical distribution of two-mode field are investigated.First,through calculating the fluctuations of two quadrature components of the field,we get that a-mode and b-mode of two-mode field do not both display squeezing.Second,by calculating second-order correlation function of two-mode field,the results show that a-mode and b-mode of two-mode field both display antibunching effects,and there is anti-correlation between the two modes.Third,by means of the numerical calculations,we plot evolution curves of Mandel Q function for different values of the coupling constants between two modes.Through comparing these curves,the influence of coupling constant between two modes on the photon number statistical distribution of the field is discussed.The evolution curves of Mandel Q function show that the two-mode cavity field displays sub-Poisson distribution.Moreover,the sub-Poisson distribution is weakened with increasing of the coupling constant between two modes.