We have experimentally demonstrated a realization of the two-mode relative
phase operator introduced by Luis and Sanchez-Soto (Luis A and Sanchez-Soto
L L 1993 Phys. Rev. A 48 4702). The relative phase distribution function w
as measured for a weakly excited relative phase eigenstate and weakly excit
ed two-mode coherent states. The experiment is also (using the eigenstates)
a demonstration of Heisenberg-limited interferometry.