Generation and Properties of a Superposition of Four Displaced Fock States

A detailed discussion of a type of four-component superposition of displaced Fock states (DFSs) is presented. A generation scheme is proposed for these states. The s-parameterized characteristic function (CF) and the quasiprobability distribution functions (QDFs) of these states are calculated. The nonclassical properties of these states such as photon number distribution and squeezing are discussed. The quadrature distributions are illustrated. The Pegg–Barnett phase distribution is discussed.