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Implementation of a Reference Interferometer for Nanodetection
16:11

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Published on: April 26, 2014

Measuring small longitudinal phase shifts: weak measurements or standard interferometry?

Nicolas Brunner1, Christoph Simon

  • 1H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol, BS8 1TL, United Kingdom.

Physical Review Letters
|September 28, 2010
PubMed
Summary

Weak measurements can detect longitudinal phase shifts. A new interferometric method using imaginary weak values may significantly outperform standard techniques for precise optical measurements.

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Area of Science:

  • Quantum optics
  • Metrology

Background:

  • Weak measurements have been successfully applied to detect transverse effects in light beams.
  • The utility of weak measurements for longitudinal phase shifts remains an open question.

Purpose of the Study:

  • To investigate the effectiveness of weak measurements for detecting small longitudinal phase shifts.
  • To compare weak measurement performance against standard interferometry for this application.

Main Methods:

  • Analysis of weak measurements with purely real weak values.
  • Development and analysis of an interferometric scheme utilizing purely imaginary weak values.
  • Incorporation of frequency-domain analysis into the interferometric scheme.

Main Results:

  • Standard interferometry significantly outperforms weak measurements when employing a purely real weak value.
  • An proposed interferometric scheme with a purely imaginary weak value shows potential for orders-of-magnitude improvement over standard interferometry.

Conclusions:

  • Weak measurements with real values are not optimal for longitudinal phase shifts.
  • Imaginary weak values combined with frequency analysis offer a promising avenue for enhanced precision in phase shift measurements.