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Chinese Journal of Quantum Electronics

Nonclassical properties of the excited double-mode SU(2) coherent state

Wan Guang-ren

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The excited double-mode SU(2) coherent state is introduced and its nonclassical properties are investigated with numeric method. The results exhibit that when the photons are added to the fields of the double mode SU(2) coherent state, the two field modes can preserve anti-correlation character. The violation of Cauchy-Schwartz inequality, the sub-Poissonian photon statistics properties and the anti-bunching effect of the fields are all enhanced.

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The excited double-mode SU(2) coherent state is introduced and its nonclassical properties are investigated with numeric method. The results exhibit that when the photons are added to the fields of the double mode SU(2) coherent state, the two field modes can preserve anti-correlation character. The violation of Cauchy-Schwartz inequality, the sub-Poissonian photon statistics properties and the anti-bunching effect of the fields are all enhanced.
The superposition of excited double-mode SU(2) coherent state |ψ=Cm(|M,ξ;m+ei|M,ξ*;m) is constructed and its quantum statistical properties are investigated with numeric method.The results exhibit that when the photons are added to the mode b of the double mode SU(2) coherent state,the two field modes can preserve anti-relation character,and presents a special effect of light amplification;the sub-Poissonian photon statistics properties of mode b is obvious enhanced and that of mode a is slightly weakened;anti-bunching effect of two modes of field are all enhanced,but as the quantum number of excitation m is increased,the anti-relation character of the two modes of field is weakened.
The mode of a photon-added double-mode SU(2) coherent state｜M,ξ;m〉=A_(Mξm)a~(+m)｜M,ξ〉is introduced and its quantum statistics property is investigated with numeric method. The results exhibit that when the photons are added to the mode aof the double mode SU(2) coherent state, the two field modes can preserve anti-relation character. The violation of Cauchy-Schwartz inequality, the sub-Poissonian photon statistics property of mode aand anti-bunching effect of mode bare enhanced, but the sub-Poissonian photon statistics property of mode band anti-bunching effect of mode a are weakened.
The photon-added odd pair coherent states and photon-added even pair coherent states are constructed,and their nonclassical properties are studied with numeric simulation method.The results show that the constructed states are new quantum optical fields that exhibit the nonclassical properties such as the sub-poissonian distribution characters of photon statistics and the antibunching effect.When the photons are added to the two modes of the odd(even) pair coherent states,the sub-poissonian distribution characters of photon statistics can be obviously enhanced.
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.
The photon-subtracted odd(even) pair coherent states are constructed and their nonclassical properties are investigated by using numeric method.The results show that when the photons are subtracted from the first mode in the odd(even) pair coherent states,the sub-Poissonian distributing character of photon statistics of the second mode can be obviously enhanced.When the photons are subtracted from the first mode in the odd pair coherent states,the antibunching effect of the first mode will be enhanced as the modulus of the eigenvalue of the double modes photons annihilating operator is small.When the photons are subtracted from the first mode in the even pair coherent states,the antibunching effect of the second mode will be obviously enhanced as the modulus of the eigenvalue of the double modes photons annihilating operator is small.