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The technical merits of weak-value-amplification techniques are analyzed. We consider models of several different types of technical noise in an optical context and show that weak-value-amplification techniques (which only use a small fraction of the photons) compare favorably with standard techniques (which use all of them). Using the Fisher-information… (More)

In a recent Letter, Brunner and Simon proposed an interferometric scheme using imaginary weak values with a frequency-domain analysis to outperform standard interferometry in longitudinal phase shifts [Phys. Rev. Lett105, 010405 (2010)]. Here we demonstrate an interferometric scheme combined with a time-domain analysis to measure longitudinal velocities.… (More)

We evaluate the advantages of performing cross phase modulation (XPM) on a very-far-off-resonance atomic system. We consider a ladder system with a weak (few-photon level) control coherent field imparting a conditional nonlinear phase shift on a probe beam. We find that by coupling to an optical resonator the optimal XPM is enhanced proportional to the… (More)

- Gerardo I Viza, Julián Martínez-Rincón, Gabriel B Alves, Andrew N Jordan, John C Howell
- 2014

We experimentally investigate the relative advantages of implementing weak-values-based metrol-ogy versus standard methods. To accomplish this, we measure small optical beam deflections both using a Sagnac interferometer with a monitored dark port (the weak-values-based technique), or by focusing the entire beam to a split detector (the standard technique).… (More)

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