Noncoherent states having Poissonian statistics

A class of noncoherent states (NCS) with the same statistical properties of the coherent state (CS) is investigated. Contrarily to the CS, the NCS exhibits nonclassical properties which come from the difference between off-diagonal terms ρn,n′ of the Fockʹs representation for the CS and the NCS. The phase-distribution and Wigner function for the NCS are also discussed.