Wigner function of superposition of the excited coherent states

The superposition state C(a~(+m)|α+e~(iθ)α~(+m)|-α) from the excited coherent state was constructed. Dependences of Wigner function onθand m and its marginal distributions for the superposition state were numerically investigated.It is shown that the superposition state is always able to exhibit the non-classical properties for anyθ,Wigner function and its marginal distributions evidently depend onθand m.