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Acta Sinica Quantum Optica

Photons Correlation Properties of Two-mode Squeezed Field Interacting with a V-type Moving Atom

Duo Zhang, Lin Shu-yuan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

two-mode squeezed vacuum field interacting with a V-type three-level moving atom is investigated. We can get analytic expressions of second-order correlation function and two-mode correlation function. The influence of atomic motion, the field structure and intensity of photons on second-order correlation function and two-mode correlation function are obtained by numerical calculation. The results indicate that correlation function and photon bunching increase obviously when intensity of photons increase; photon bunching and antibunching don't change when atomic motion and the field structure increase, but the period of photon bunching and antibunching reduce greatly.

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Quantum properties in the system of atom interacting with twomode cavity

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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.

Journal of Optoelectronics·laser•Jan 1, 2014•0 citations
two-mode squeezed vacuum field interacting with a V-type three-level moving atom is investigated. We can get analytic expressions of second-order correlation function and two-mode correlation function. The influence of atomic motion, the field structure and intensity of photons on second-order correlation function and two-mode correlation function are obtained by numerical calculation. The results indicate that correlation function and photon bunching increase obviously when intensity of photons increase; photon bunching and antibunching don't change when atomic motion and the field structure increase, but the period of photon bunching and antibunching reduce greatly.
The influence of atomic motion on squeezing of the double-mode field in the interaction with a moving V-type three level atom is investigated by means of the quantum theory and the method of numerical analysis. The results show, on the one hand, when the initial photon field is in non-correlative coherent state of double-mode, only the quadrature U 1 is squeezed and the squeezed degree of U 1 increases with the increasing of the parameter β which describes the atomic motion and structure of the field mode. On the other hand, when the initial field is in the vacuum squeezed state of double-mode, the quadrature U 2 is squeezed principally and we can obtain a steady squeezed light by choosing an appropriate parameter β.
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.
The quantum properties of light in the system of two different atoms interacting with two-mode squeezing vacuum field are studied.The effect of the relative coupling constant(R=g1/g2) and initial squeezed parameter r on light squeezing effect and the photon bunching and antibunching are discussed.The numerical results show that vibration range of quantum fluctuation,the biggest squeezing depth and squeezing time and vibration amplitude of second-order coherence is affected by the initial squeezed parameter r.The variation of quantum fluctuation and second-order coherence versus time are affected by the relative coupling constant R.As a result,the squeezing time of quantum fluctuation,the time when light field is in non-classical states and the degree of photon antibunching are also affected by it,but to but it doesn′t have obvious influence on light squeezing depth.
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 quantum properties of the light field in the system of two coupled V-type atoms interacting with coherent field in Kerr medium were studied.The solution describing the dynamics process of the system was gained by means of the coupled Tavis-Cummings model in quantum optics.Influences of the initial state,the detuning of the field,the coupling strength of dipole-dipole interaction between atoms and Kerr coefficient on the second-order correlation function and the squeezing parameter of the field were discussed.Numerical calculation results show: when the average photon number of the field in the initial state is smaller,the field exhibits apparent quantum effect;when the probability amplitude of the excited states of the atoms in the initial state changing from small to large,the anti-bunching effect of the field becomes more obvious,but the squeezing depth increase at first and then decrease;the detuning changing create small influence on the quantum properties of the field,its changing only change the oscillating period of the second-correlation function and the squeezing parameter of the field;the increasing of the coupling strength between the atoms weaken the anti-bunching effect of the field and make the squeezing depth become shallow;the increasing of Kerr coefficient enhances the anti-bunching effect of the field,but makes the squeezing depth become shallow.
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.