Weak Values Technique for Velocity Measurements

In a recent letter, Brunner and Simon propose an interferometric scheme using imaginary weak values with a frequency-domain analysis to outperform standard interferometry in longitudinal phase shifts [N. Brunner and C. Simon, Phys. Rev. Lett {\bf105} (2010)]. Here we demonstrate an interferometric s...

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Bibliographic Details
Published in:arXiv.org 2013-05
Main Authors: Viza, Gerardo I, Martínez-Rincón, Julián, Howland, Gregory A, Frostig, Hadas, Shomroni, Itay, Dayan, Barak, Howell, John C
Format: Article
Language:English
Subjects:
Frequency analysis
Frequency domain analysis
Interferometry
Object oriented programming
Time domain analysis
Velocity measurement
Online Access:Get full text
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Summary:In a recent letter, Brunner and Simon propose an interferometric scheme using imaginary weak values with a frequency-domain analysis to outperform standard interferometry in longitudinal phase shifts [N. Brunner and C. Simon, Phys. Rev. Lett {\bf105} (2010)]. Here we demonstrate an interferometric scheme combined with a time-domain analysis to measure longitudinal velocities. The technique employs the near-destructive interference of non-Fourier limited pulses, one Doppler shifted due to a moving mirror, in a Michelson interferometer. We achieve a velocity measurement of 400 fm/s and show our estimator to be efficient by reaching its Cram\'{e}r-Rao bound.
ISSN:2331-8422
DOI:10.48550/arxiv.1304.0029