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Chinese Physics C

Antibunching Effect of the Excited k-Boson q-Coherent States

Jun Jiang

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

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.

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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 .
The antibunching effect for the eigenstates of the q deformed annihilation operator a k q(k ≥3) is investigated. Using the numerical method, we have studied the influences of the q parameter deformation on the effect in the case of k =3. The results show that the eigenstates of a k q exhibit antibunching effect when x=|z| 2, i.e. the intensity of the oscillator in q deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q . When the intensity of the q deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.