Phase distributions of real field states

The phase distribution obtained within the Pegg–Barnett Hermitian phase formalism is compared to the phase distributions obtained from the s-parametrized quasiprobability distributions integrated over the "radial" variable for some real states of the field. Exact analytical formulas for the s-parametrized phase distributions of coherent states, squeezed states, and displaced number states are obtained. A general formula relating the s-parametrized phase distributions to the Pegg–Barnett distribution is derived. Numerical examples illustrating the similarities and differences are presented in a graphical form.