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Sub-poissonian Photon Statistical Character of the Excited k-boson q-coherent States

Jiang Jun-qin

Published Jan 1, 2006• 0 citations
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Abstract

The sub-poissonian photon statistical character of the excited k-boson q-coherent states a~(+m)_q|z,k,j_q(k≥3) is numerically studied.It is shown that the sub-poissonian photon statistical character is evidently dependent on m.When j = 0,the excited states(m≠0) can exhibit the sub-poissonian photon statistical character,but the unexcited states(m=0) cannot.When j≠0,both the excited states and the unexcited states can exhibit sub-poissonian photon statistical character.The sub-poissonian photon statistical character only appears in small x(x=|z|~2),which differs from the antibunching effect.

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The sub-poissonian photon statistical character of the excited k-boson q-coherent states a~(+m)_q|z,k,j_q(k≥3) is numerically studied.It is shown that the sub-poissonian photon statistical character is evidently dependent on m.When j = 0,the excited states(m≠0) can exhibit the sub-poissonian photon statistical character,but the unexcited states(m=0) cannot.When j≠0,both the excited states and the unexcited states can exhibit sub-poissonian photon statistical character.The sub-poissonian photon statistical character only appears in small x(x=|z|~2),which differs from the antibunching effect.
This paper defines the Mandel Q-parameter of the q-deformed coherent state,and deduces the relation between the q-deformed Mandel Q-parameter and the q-deformed second-order correlation function.It proves that both the sub-Poissonian character and the antibunching effect in the q-deformed coherent state are not equivalent.The sub-Poissonian character of the photon-added k-boson q-coherent state is numerically studied.The result indicates that the sub-Poissonian character is evidently dependent on increased number m of photons.
In this paper, the excited odd q-coherent state a +m qα o q and excited even q-coherent state a +m qα e q are constructed. The q and m dependences of mean photon number and sub-Poissonian character and antibunching effect are numerically studied. It is shown that when the q is far from 1, the second-order q-correlation function exhibits oscillating phenomenon, whose amplitude and period are independent of m; but the mean photon number and the Mandel Q q parameter increase greatly as m increases; and the sub-Poissonian character is not equivalent to the antibunching effect unless q→1.
The excited k-boson q-coherent state a +m qz,k,j〉 q is constructed. The m dependence of the antibunching effect is numerically studied. It is shown that the antibunching effect evidently depends on m: For big x(x=z 2), the excitation can change the region where the antibunching effect appears; For small x, when j=0, the excited states exhibit strong antibunching effect but the unexcited states exhibit strong bunching effect; For small x, when j≠0, both the excited states and the unexcited states exhibit strong antibunching effect.
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.