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Journal of Optoelectronics·laser

Quantum properties in the system of atom interacting with twomode cavity

LI Rui-q

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

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.

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Acta Sinica Quantum Optica•Jan 1, 2005•0 citations
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.
Two coupled cavities each containing one two-level atom are considered,which interacts with cavity via a two-photon hopping.The evolution of the state vector of the system is given when the total excitation number equals two.The squeezing of field is investigated.By means of the numerical calculations,the influences of cavity-cavity coupling constant and atom-cavity coupling constant on the antibunching effect of field are discussed.The obtained results show that the field does not display squeezing,and the antibunching effect of field has a nonlinear relation with cavity-cavity coupling constant or atom-cavity coupling constant.
We study the two-excitation system comprising two two-level atoms resonantly interacting with two coupled cavities.The evolution of the state vector of the system is given.By means of the numerical calculations,we investigate the evolution of the second-order correlation function of the field and that of Mandel Q function.The influences of coupling constant between cavities and state-selective measurement of the atom on the second-order correlation function and Mandel Q function are discussed.The results obtained show that the second-order correlation function or Mandel Q function has a nonlinear relation with increasing of the cavity-cavity coupling coefficient.On the other hand,the sub-Poissonian distribution of the field can be strengthened through the state-selective measurement on the atom.
Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom;(2) direct state-selective measurement on the atom;(3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened,and the Cauchy-Schwarz inequality is always violated;the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.
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 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.
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.