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Acta Sinica Quantum Optica

Quantum Statistic Properties of a Two-Mode Cavity Field Resonantly Interacting with a Three-Level V-Type Atom

Zheng Nai-qing

Published Jan 1, 2010• 0 citations
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Abstract

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.

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Nonclassical properties of a two-mode SU(2) coherent field resonantly interacting with a three-level Λ-type atom

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Nonclassical properties of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of the quantum theory and numerical calculations. The dependence of the nonclassical properties on the total photon number of the two-mode, the partition parameter and the coupling constant is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; and (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the total photon number of the two-mode is increased or the state-selective measurement is performed on the atom, the difference squeezing of two-mode is distinctly enhanced; and when the partition parameter is decreased or the state-selective measurement is performed on the atom after the application of a classical field, the average intensity of the sub-Poisson statistic distribution of mode a is reduced and that of mode b is enhanced; when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom, the anti-correlation character between the two modes is preserved, but the average intensity of the anti-correlation is reduced; and when the direct state-selective measurement is performed on the atom, the Cauchy-Schwartz inequality is violated.

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Squeezing Properties of the Field in the System of SU(2) Field Interacting with Three-Level V-Type Atom

Zheng Nai-qing

Difference squeezing properties of the field in the system of a two-mode field initially in an SU (2) 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 difference squeezing of two-mode on the total photon of the tow-mode, the partition parameter, the coupling constant and the atomic initial state is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the atom is initially on the lower level or the total photon number of the two-mode is increased, the average intensity of the difference squeezing is distinctly enhanced; when the partition parameter is decreased, the average intensity of the difference squeezing is distinctly deadened; when the tow coupling constants are same and the state-selective measurement is performed on the atom, the average intensity of the difference squeezing does not change over time.

Journal of Wuyi University•Jan 1, 2010•0 citations
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.
Statistic properties of photon in the system 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 statistic properties of photon on the total photon number of the two-mode,the partition parameter and the coupling constant are discussed for three cases:①no state-selective atomic measurement;②direct state-selective atomic measurement;③state-selective atomic measurement after the application of a classical field.The results indicate that when the direct state-selective measurement is performed on the atom,the average intensity of the sub-poisson statistic distribution of mode a is enhanced;when the partition parameter is decreased,the average intensity of the sub-poisson statistic distribution of mode a is reduced and that of mode b is enhanced;when the state-selective mesurement is performed on the atom,the Cauchy-Schwarz inequality is violated;when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom,the anti-correlation character between the two modes is preserved,but the average intensity of the anti-correlation is reduced.
Nonclassical properties of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of the quantum theory and numerical calculations. The dependence of the nonclassical properties on the total photon number of the two-mode, the partition parameter and the coupling constant is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; and (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the total photon number of the two-mode is increased or the state-selective measurement is performed on the atom, the difference squeezing of two-mode is distinctly enhanced; and when the partition parameter is decreased or the state-selective measurement is performed on the atom after the application of a classical field, the average intensity of the sub-Poisson statistic distribution of mode a is reduced and that of mode b is enhanced; when the total photon number of the two modes is increased or the direct state-selective measurement is performed on the atom, the anti-correlation character between the two modes is preserved, but the average intensity of the anti-correlation is reduced; and when the direct state-selective measurement is performed on the atom, the Cauchy-Schwartz inequality is violated.
We consider the case that one of the two initially entangled V-type three-level atoms is injected into a two-mode cavity and resonantly interacting with a two-mode field initially in a SU(2) coherent state.Nonclassical properties of the two-mode correlated field are investigated numerically.The influences of the state-selective measurement of the atom outside the cavity,the total photon number of the two modes,and the partition parameter on the difference squeezing,the Cauchy-Schwarz inequality,the mode-correlation properties,and the photon number distribution are discussed.The results indicate when the state-selective measurement is performed on the atom outside the cavity or the total photon number is increased,the difference squeezing and the sub-Poisson distribution of the photon number of mode a is distinctly enhanced,but the anti-correlation between the two modes is distinctly reduced.
Anti-bunching effect of the field in the system of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level Λ-type atom are investigated by means of quantum theory and nu-merical calculations.The dependence of the anti-bunching effect on the total photon of the tow-mode,the parti-tion parameter,the coupling constant and the atomic initial state is discussed for two cases:(1) no state-selective atomic measurement;(2) direct state-selective atomic measurement.The results indicate: the anti-bunching effect of the two mode of the field exhibits when the two coupling coefficients are the same;a mode anti-bunching ef-fect is distinctly enhanced when the atom is initially on the lower level or direct state-selective measurement is performed on the atom;the anti-bunching effect of the two mode of the field is distinctly enhanced when the to-tal photon number of the two-mode is decreased;the anti-bunching effect of the field does not change over time when the two coupling coefficients are the same and the state-selective measurement is performed on the atom.
Anti-bunching effect of the light field in the system of a two-mode field initially in an SU(2) coherent state resonantly interacting with a three-level V-type atom are investigated by numerical calculations.The influences of the selective atomic measurement,the total photon of the tow-mode,the partition parameter,the coupling constant and the atomic initial state on the anti-bunching effect of the light field is discussed.The results indicate: the a mode anti-bunching effect is distinctly enhanced when the state-selective measurement is performed on the atom or the atom is initially on the lower level;the anti-bunching effect of the field does not change over time when the tow coupling constants are same and the direct state-selective measurement is performed on the atom;the anti-bunching effect of the two mode of the field is distinctly enhanced when the total photon number of the two-mode is decreased.
Difference squeezing properties of the field in the system of a two-mode field initially in an SU (2) 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 difference squeezing of two-mode on the total photon of the tow-mode, the partition parameter, the coupling constant and the atomic initial state is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the atom is initially on the lower level or the total photon number of the two-mode is increased, the average intensity of the difference squeezing is distinctly enhanced; when the partition parameter is decreased, the average intensity of the difference squeezing is distinctly deadened; when the tow coupling constants are same and the state-selective measurement is performed on the atom, the average intensity of the difference squeezing does not change over time.