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Journal of Longyan University

Anti-Bunching Effect of the Field in the System of a Two-Mode SU(2) Coherent Field Resonantly Interacting with a Three-Level Λ-Type Atom

Zheng Nai-qin

Published Jan 1, 2010• 0 citations
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Abstract

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.

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Jiguang zazhi•Jan 1, 2009•0 citations
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.
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.
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.
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.
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 state function of the two-mode SU(1,1) coherent states field interacting with a four-level atom is derived by means of quantum theory.It is studied that the two-mode intensity correlation function,the Cauchy-Schwartz inequality and the second-order coherence properties for each mode of the light field in the system of the two-mode SU(1,1) coherent states field interacting with four-level atom.It is discussed that the influence of the coupling coefficient between the light field and atom and the initial intensity of the light field on file quantum dynamics of the light field.The results of the studies indicate that the statistic properties of the photon depend on the initial state of the system,the correlation of the two-mode of light is both positive and non-classical,the photon anti-bunching of the first mode appear at all time,and the photon bunching and anti-bunching of the second mode appear alternately.