Non-classical Properties of State Generated by the Superposition of Photon-Added Even/Odd Coherent States

Non-classical state, which is a production of the superposition of photon-added even/odd coherent states (SPAEOCS), is introduced. We discussed the mathematical and physical character of such state. It is found that the normalization constant of SPAEOCS is a laguerre polynomial. The quasi-probability distributions and the distribution of the quadrature are studied. We find the negative values of the Wigner function of the SPAEOCS, which shows the SPAEOCS is a non-Gaussian state.