Amplification of rotation velocity using weak measurements in Sagnac's interferometer

Abstract

We study the amplification of rotation velocity with the Sagnac interferometer based on the concept of weak-value amplification. By using a different scheme to perform the Sagnac interferometer with the probe in momentum space, we have demonstrated the new weak measure protocol to detect the small rotation velocity by amplifying the phase shift of the Sagnac effect. At the given the maximum incident intensity of the initial spectrum, the detection limit of the intensity of the spectrometer and the accuracy of angular velocity measurement, we can theoretical give the appropriate potselection and the minimum of optical path area before experiment. In addition, we put forward a new optical design to increase the optical path area and decrease the size of the interferometer to overcome the limit of instrument size. Finally, our modified Sagnac's interferometer based on weak measurement is innovative and efficient probing the small rotation velocity signal.

arXiv admin note: text overlap with arXiv:1203.0827 by other authors

References in corpus (3)

• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• Precision frequency measurements with interferometric weak values
• Horizontal rotation signals detected by "G-Pisa" ring laser for the Mw=9.0, March 2011, Japan earthquake

Cited by in corpus (9)

• Quantum circuits for measuring weak values, Kirkwood--Dirac quasiprobability distributions, and state spectra
• A historical review and Bibliometric analysis of research on Weak measurement research over the past decades based on Biblioshiny
• Geometric phases and the Sagnac effect: Foundational aspects and sensing applications
• Improving the precision of weak-value-amplification with two cascaded Michelson interferometers based on Vernier-effect
• The design of a new fiber optic sensor for measuring linear velocity with pico meter/second sensitivity based on Weak-value amplification
• Time-symmetry and topology of the Aharonov-Bohm effect
• No-go result for quantum postselection measurements of rank-m degenerate subspace
• Weak-value technique for detecting weak magnetic field based on Faraday magneto-optic effect
• The systematic error and the anomaly in the sensitivity and the probability of post-selection raised from the plural weak value