Antibunching effect of k-boson q-coherent states

The antibunching effect for the eigenstates of the q-deformed annihilation operator a(q)(k)(k greater than or equal to 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(q)(k) 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.