Two classes of states showing sub-Poissonian photon statistics are constructed by appropriate mixtures of n-photon states. These mixtures are possibly relevant for anti-bunching.
The mode of a photon-added double-mode SU(2) coherent state|M,ξ;m〉=A_(Mξm)a~(+m)|M,ξ〉is introduced and its quantum statistics property is investigated with numeric method. The results exhibit that when the photons are added to the mode aof the double mode SU(2) coherent state, the two field modes can preserve anti-relation character. The violation of Cauchy-Schwartz inequality, the sub-Poissonian photon statistics property of mode aand anti-bunching effect of mode bare enhanced, but the sub-Poissonian photon statistics property of mode band anti-bunching effect of mode a are weakened.