Subcoherent p-representation for non-classical photon states

Abstract

The Barut-Girardello states (the eigenstates of the SU(1, 1) lowering generator K- are considered in the harmonic oscillator Hilbert space. They are found to have sub-Poissonian photon statistics. By using these states, the diagonal P-representation of the density operator is constructed, and it is shown to be well behaved for non-classical photon states.