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Frontiers in Optics

Weak Values and Balanced Homodyne Detection Working Together

Julián Martínez-Rincón, Wei-Tao Liu, Gerardo I. Viza, John C. Howell

Published Jan 1, 2016• 0 citations
Publisher

Abstract

We present a metrological technique which, without discarding of data, resembles a larger anomalous amplification than weak-value-amplification (WVA). The protocol surpasses WVA techniques by amplifying an almost-balanced homodyne signal.
DOI
10.1364/fio.2016.ff1d.6

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We propose precision measurements of ultra-small angular velocities of a mirror within a modified Sagnac interferometer, where the counter-propagating beams are spatially separated, using the recently proposed technique of almost-balanced weak values amplification (ABWV) [Phys. Rev. Lett.116, 100803 (2016)PRLTAO0031-900710.1103/PhysRevLett.116.100803]. The separation between the two beams provides additional amplification with respect to using collinear beams in a Sagnac interferometer. Within the same setup, the weak-value amplification technique is also performed for comparison. Much higher amplification factors can be obtained using the almost-balanced weak values technique, with the best one achieved in our experiments being as high as 1.2×107. In addition, the amplification factor monotonically increases with decreasing of the post-selection phase for the ABWV case in our experiments, which is not the case for weak-value amplification (WVA) at small post-selection phases. Both techniques consist of measuring the angular velocity. The sensitivity of the ABWV technique is ∼38 nrad/s per averaged pulse for a repetition rate of 1 Hz and ∼33 nrad/s per averaged pulse for the WVA technique.