Anti-bunching effect of k-boson q-coherent states

The anti-bunching effect for the eigenstates of the q-deformed annihilation operator aqk (k ≥ 3) is investigated. Using the numerical method, the authors 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 aqk exhibit anti-bunching 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