The amplification obtained using weak values is quantified through a detailed investigation of the signal-to-noise ratio for an optical beam-deflection measurement. We show that for a given deflection, input power and beam radius, the use of interferometric weak values allows one to obtain the optimum signal-to-noise ratio using a coherent beam. This method has the advantage of reduced technical noise and allows for the use of detectors with a low saturation intensity. We report on an experiment which improves the signal-to-noise ratio for a beam-deflection measurement by a factor of 54 when compared to a measurement using the same beam size and a quantum-limited detector.
D. J. Starling, P. B. Dixon, A. N. Jordan, and J. C. Howell, Optimizing the Signal-to-Noise Ratio of a Beam-Deflection Measurement with Interferometric Weak Values, Phys. Rev. A 80(4), 041803. https://doi.org/10.1103/PhysRevA.80.041803
American Physical Society