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Optica Laser Congress (ASSL, LAC, LS&C)

Weak Values and Precision Measurements

John C. Howell

Published Jan 1, 2016• 0 citations
Publisher

Abstract

I will discuss the use of weak values for performing precision deflection, spectral, velocity and gravimetric measurements. I will show that the concepts behind weak values can lead to technical noise suppression.
DOI
10.1364/lsc.2016.ltu5b.3

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We consider different types of technical noise in an optical context and show that weak-value amplification techniques (using a small fraction of photons) compare favourably with standard techniques (using all of them). We measure small beam deflections of an optical beam by monitoring the dark port in a Sagnac interferometer (weak-value technique) or by focusing the entire beam onto a split detector (standard technique). In all cases, the weak-value technique performs favourable in precision respect to the standard technique.
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.