Abstract

We introduce the joint Wigner function for the electromagnetic field and for angular momentum to give a phase space description for the resonantly interacting system of two-level atoms and a field mode: where Y_KQ(θ, φ) denotes the spherical harmonics, is the characteristic function of the joint system, ${\widehat{T}}_{KQ}$ denotes the multipole operator of the atomic subsystem [1], [2], while $\widehat{D}\left(\beta ,{\beta }^{*}\right)$ is the displacement operator on the Hilbert space of the field W(α,α^*,θ,φ) is a quasiprobability density function over the direct product of the separate phase spaces.

© 1996 IEEE