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Acta Physica Sinica

Nonclassical properties in the resonant interaction of a three level Λ-type atom with pair coherent states

Zi-hong Chen, Chang-Geng Liao, Luo Cheng-Li

Published Jan 1, 2010• 1 citation
Publisher

Abstract

This paper is concentrated on the nonclassical properties of the pair coherent states during the interaction with a three-level Λ-type atom, such as antibunching effect, violation of Cauchy-Schwarz inequality and two-mode squeezing. Meanwhile, we find these nonclassical properties can be enhanced in the case that the atom is selectively measured.

DOI
10.7498/aps.59.6152

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This paper is concentrated on the nonclassical properties of the pair coherent states during the interaction with a three-level Λ-type atom, such as antibunching effect, violation of Cauchy-Schwarz inequality and two-mode squeezing. Meanwhile, we find these nonclassical properties can be enhanced in the case that the atom is selectively measured.
The nonclassical properties such as antibunching effect,violation of Cauchy-Schwarz inequality and two-mode squeezing of the pair coherent states based on a non-degenerate two-photon Jaynes-Cummings model were investigated.It is shown that these nonclassical properties can be enhanced in the case that the coefficients are chosen appropriately or the atom is selectively detected.In addition,all kinds of the nonclassical properties by using(?)-type three-level atom are more effective than that using i4-type three-level atom.
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.
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.