Special relativity and interferometers

Physics – Optics

Scientific paper

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Group Theory, Lorentz Transformations, Michelson Interferometers, Relativity, Rlc Circuits, Coherent Light, Squeezed States (Quantum Theory), Quantum Optics, Special Relativity

Scientific paper

A new generation of gravitational wave detectors is expected to be based on interferometers. Yurke et al. (1986) introduced a class of interferometers characterized by SU(1,1) which can in principle achieve a phase sensitivity approaching 1/N, where N is thte total number of photons entering the interferometer. It is shown here that the SU(1,1) interferometer can serve as an analog computer for Wigner's little group of the Poincare['! group.

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