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Chinese Physics C

Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States

Jun Jiang

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

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 .

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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 .
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 squeezing property of the excited odd qs coherent state a +m qs α o qs and excited even qs coherent state a +m qs α e qs is numerically studied. It is shown that: (1) When the q(q≤1 ) or s is far from 1, the state a +m qs α o qs and state a +m qs α e qs exhibit strong qs squeezing, and as r 2 increases the qs squeezing function Δ e 1( Δ o 1) exhibits the oscillating phenomenon of increasing amplitude and increasing period. As m increases and s decreases, the amplitude of Δ e 1( Δ o 1) increases greatly. As s decreases, the period of Δ e 1( Δ o 1) increases but is independent of m. The m can be regard as the third parameter for controling the qs squeezing. (2) In general, the qs squeezing function Δ e 1( Δ o 1) is more sensitive to s than to q . That is, it is more resultful to control the qs squeezing by adjusting the parameter s than by adjusting the parameter q .
In this paper, we use the numerical method to study the influences of and deformations on the quantum statistical properties of even and odd qs-coherent states. It is shown that nonclassical properties of the even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and antibunching effect appear for both even and odd qs-coherent states in some range of the parameters , and . The smaller the and are, the larger the difference between the even and odd qs-coherent states and the usual even and odd coherent states is.