Phase properties of fields generated in a multiphoton down-converter
R. Tanaś, Ts. Gantsog · Physical Review A · 1992
The phase properties of fields generated from the vacuum in the m-photon down-conversion process with quantum pumping are studied from the point of view of the Hermitian phase formalism. The joint phase distribution P(${\mathrm{\ensuremath{\theta}}}_{\mathit{a}}$,${\mathrm{\ensuremath{\theta}}}_{\mathit{b}}$) as well as the marginal phase distribution P(${\mathrm{\ensuremath{\theta}}}_{\mathit{a}}$) for the signal mode are derived and illustrated graphically for m=2, 3, and 4. The relationship between these phase distributions and the ``classical'' distributions obtained by integrating the Q function is established. It is shown that the classical phase distribution is a result of an averaging procedure that leads to a broadening of the phase distribution.