Nonlinear interferometry in all spatiotemporal degrees of freedom

The effects of the spatiotemporal degrees of freedom on the practical implementation of an SU(1,1) interferometry is investigated. A recently developed Wigner functional approach is used to obtain the phase sensitivity of such an SU(1,1) interferometry in terms of all the spatiotemporal degrees of freedom. It reveals how experimental scale parameters affect the performance of the interferometer. The analysis provides information that would be useful for quantum metrology applications.Comment: 9 pages, 3 figures, accepted versio