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Chinese Physics C

kth-order antibunching effect for a new kind of excited even and odd q-coherent states

Jun Jiang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

A new kind of excited even q-coherent states (aq-1)m|αqe and excited odd q-coherent states (aq-1)m|αqo is constructed by acting with inverse boson operators on the even and odd q-coherent states. The m dependence of the kth-order antibunching effect is numerically studied for k = 2, 3, 4, 5.It is shown that the kth-order antibunching effect enhances as m increases. The larger k, the quicker the antibunching effect enhances.

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A new kind of excited even q-coherent states (aq-1)m|αqe and excited odd q-coherent states (aq-1)m|αqo is constructed by acting with inverse boson operators on the even and odd q-coherent states. The m dependence of the kth-order antibunching effect is numerically studied for k = 2, 3, 4, 5.It is shown that the kth-order antibunching effect enhances as m increases. The larger k, the quicker the antibunching effect enhances.
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 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.