Fourier multiport devices

A. Vourdas, J. A. Dunningham
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
A formalism for multiport devices is developed in which the creation and annihilation operators at the output are related with those at the input through a finite Fourier transform. By considering two specific inputs of number states and coherent states, we show how these devices can be used to produce multimode Schrödinger cat states and can be combined to create multipath interferometers. We introduce uncertainty relations for the distributions of particles in the input modes and the
more » ... es and the correlations between the output modes. These allow us to determine how the phase resolution of the output state scales with the number of ports and particles. This scaling is of fundamental interest for schemes that seek to use multipath interferometers for enhanced measurement precision.
doi:10.1103/physreva.71.013809 fatcat:olnc5jewhjao3f43rsfm53e2oq