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The Higher Order Antibunching Effect of the Excited k-Boson q-Coherent States

Jiang Jun-qin

Published Jan 1, 2007• 0 citations
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Abstract

The 3rd order antibunching effect of the excited k-boson q-coherent states a+mq|z,k,j〉q(k≥3) is numerically studied.It is shown that the 3rd order antibunching effect is evidently dependent on m.For small x(namely,in the main region),when j=0,the excited states(m≠0) exhibit strong 3rd order antibunching effect but the unexcited states(m≠0) cannot exhibit 3rd order antibunching effect;when j≠0,adding photon(excitation) makes against the 3rd order antibunching effect.

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The 3rd order antibunching effect of the excited k-boson q-coherent states a+mq|z,k,j〉q(k≥3) is numerically studied.It is shown that the 3rd order antibunching effect is evidently dependent on m.For small x(namely,in the main region),when j=0,the excited states(m≠0) exhibit strong 3rd order antibunching effect but the unexcited states(m≠0) cannot exhibit 3rd order antibunching effect;when j≠0,adding photon(excitation) makes against the 3rd order antibunching effect.
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 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.
The excited odd qs-coherent state and excited even qs-coherent state are constructed. The q , s , and m dependences of the antibunching effect are numerically studied. It is shown that for small r , the excited even qs-coherent state exhibits strong antibunching effect but the even qs-coherent state exhibits strong bunching effect; When the q ( q ≤ 1) is far from 1, as r2 increase, the second-order qs-correlation function exhibits oscillating phenomenon (i.e. alternates between antibunching effect and bunching effect) , whose amplitude and period increase as s and q decrease, but are approximately independent of m; When q→1, the second-order qs-correlation function also exhibits oscillating phenomenon, whose amplitude and period not only increase as 5 decreases but also are dependent on m; In general, the second-order qs -correlation function is more sensitive to s than to q .