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Frontiers in Optics

Amplification of Angular Rotations using Weak Measurements

Omar S. Magaña‐Loaiza, Mohammad Mirhosseini, Brandon Rodenburg, Robert W. Boyd

Published Jan 1, 2014• 16 citations
Publisher

Abstract

We experimentally demonstrate the first weak-value amplification of the azimuthal degree of freedom. We estimate rotations using shifts in angular position and orbital angular momentum, via spin-orbit coupling and an applied geometric phase.
DOI
10.1364/fio.2014.fth4a.4

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We present a weak measurement protocol that permits a sensitive estimation of angular rotations based on the concept of weak-value amplification. The shift in the state of a pointer, in both angular position and the conjugate orbital angular momentum bases, is used to estimate angular rotations. This is done by an amplification of both the real and imaginary parts of the weak-value of a polarization operator that has been coupled to the pointer, which is a spatial mode, via a spin-orbit coupling. Our experiment demonstrates the first realization of weak-value amplification in the azimuthal degree of freedom. We have achieved effective amplification factors as large as 100, providing a sensitivity that is on par with more complicated methods that employ quantum states of light or extremely large values of orbital angular momentum.