Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Optics Journal of the European Optical Society Part B

Sagnac effect as viewed by a co-rotating observer

B H W Hendricks, Gerard Nienhuis

Published Feb 1, 1990• 20 citations
Publisher

Abstract

The authors consider the Sagnac effect from the point of view of a co-rotating observer. They give for both matter and light waves the fully relativistic evolution equations in the rotating frame of reference. In the nonrelativistic limit the Sagnac effect is similar to the Aharonov-Bohm effect. This similarity shows that the Sagnac effect is a manifestation of Berry's phase.

DOI
10.1088/0954-8998/2/1/002

Related papers

The Sagnac Phase Shift suggested by the Aharonov-Bohm effect for relativistic matter beams

Guido Rizzi, Matteo Luca Ruggiero

The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a formal analogy with the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and Newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.

•Jan 1, 2003•15 citations

Phase Shift of Electron Waves in A Rotating Frame of Reference

FRANZ HASSELBACH, M. Nicklaus

After the first matter wave version of Sagnac’s classical light optical experiment of 1913, performed by Mercereau and Zimmermann with electron Cooper pairs in 1965, and the Sagnac experiment realized with neutrons by Werner et al. in 1979 , we report here on the first observation of the rotational phase shift of electron waves in vacuum. Theory. The Sagnac effect links classical physics, quantum physics and relativity. Using the special theory of relativity it can be derived that coherent waves, e.g. of light, neutrons or electrons, travelling around a finite area A experience a relative phaseshift

Proceedings annual meeting Electron Microscopy Society of America•Aug 12, 1990•2 citations

Substratum Interpretation of the Sagnac-and the Aharonov-Bohm Effect

Friedwardt Winterberg

Abstract It is shown that a substratum interpretation reveals a close relationship between the Sagnac- and the Aharonov-Bohm-effect. The characteristic peculiarity of the Aharonov-Bohm-effect, to produce a phase shift of the electron wave function even in the absence of any electromagnetic force fields, can be duplicated by a thought experiment for light waves in the gravitational field of a massive rotating cylinder, which demonstrates that the somewhat similar Sagnac-effect is not caused by centrifugal and Corioli’s forces, as it is sometimes claimed. In the substratum interpretation, both the Sagnac and Aharonov-Bohm effect find their explanation in a rotational motion of the substratum. If the substratum flow is irrotational, having the form of a potential vortex, these effects persist even though there are no force fields present.

Zeitschrift für Naturforschung A•Dec 1, 1989•5 citations

Berry's Phase, Aharonov–Bohm and Sagnac Effects

S. Rajasekar, R. Velusamy

This chapter presents the derivation of Berry's phase. Many classical phenomena have corresponding quantum mechanical analogue. Therefore, it is natural to identify a classical analogue of Berry's phase. The concept of Berry's phase has been used in the study of quantized Hall Effect, the spin statistics properties of quasiparticle excitations, the rotation of photon polarization in helical optical fibers, etc. The chapter discusses various applications of Berry's phase in solid state physics. The Berry's phase in one-dimension is usually called Zak phase and is used for a better understanding of electric polarization in dielectrics, protected edge states and Wannier–Stark ladders and integer quantum Hall effect. The chapter discusses the Aharonov–Bohm and Sagnac effects. The Aharonov–Bohm experiment consists of splitting an electron beam, passing around both sides of a solenoid and then recombining the beam. The Sagnac effect has been studied in resonant microcavities and light propagation in a wave guide also.

CRC Press eBooks•Oct 5, 2022•0 citations

Slow wave atom interferometers for rotation sensing

Meriç Özcan

A gyroscope based on Sagnac interferometer measures the rotation rate relative to an inertial frame of reference. Sagnac effect originally has been derived and experimentally demonstrated with optical waves. Later, matter wave based Sagnac interferometers were developed due to inherent sensitivity over a photon based system. However in any interferometer whether it is photon or matter wave based the resultant phase shift due to counter-rotating waves is independent of the wave velocity. Here we show that one can have a larger phase shift with slower matter waves using Aharonov-Bohm effect: the phase difference of the counter propagating waves is proportional to the inverse square of the particle velocity.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Feb 8, 2007•0 citations

Relativistic aspects of nonrelativistic quantum mechanics

Dennis Dieks, Gerard Nienhuis

It is argued that nonrelativistic quantum mechanics does not in all respects behave as a fully Galilean invariant theory. The difference is empirically significant, as is illustrated by the Sagnac effect. The conclusion of this article sheds some new light on a recent discussion concerning the status of de Broglie’s theory of matter waves.

American Journal of Physics•Jul 1, 1990•35 citations
The authors consider the Sagnac effect from the point of view of a co-rotating observer. They give for both matter and light waves the fully relativistic evolution equations in the rotating frame of reference. In the nonrelativistic limit the Sagnac effect is similar to the Aharonov-Bohm effect. This similarity shows that the Sagnac effect is a manifestation of Berry's phase.
The phase shift due to the Sagnac Effect, for relativistic matter beams counter-propagating in a rotating interferometer, is deduced on the bases of a formal analogy with the Aharonov-Bohm effect. A procedure outlined by Sakurai, in which non relativistic quantum mechanics and Newtonian physics appear together with some intrinsically relativistic elements, is generalized to a fully relativistic context, using the Cattaneo's splitting technique. This approach leads to an exact derivation, in a self-consistently relativistic way, of the Sagnac effect. Sakurai's result is recovered in the first order approximation.
After the first matter wave version of Sagnac’s classical light optical experiment of 1913, performed by Mercereau and Zimmermann with electron Cooper pairs in 1965, and the Sagnac experiment realized with neutrons by Werner et al. in 1979 , we report here on the first observation of the rotational phase shift of electron waves in vacuum. Theory. The Sagnac effect links classical physics, quantum physics and relativity. Using the special theory of relativity it can be derived that coherent waves, e.g. of light, neutrons or electrons, travelling around a finite area A experience a relative phaseshift
Abstract It is shown that a substratum interpretation reveals a close relationship between the Sagnac- and the Aharonov-Bohm-effect. The characteristic peculiarity of the Aharonov-Bohm-effect, to produce a phase shift of the electron wave function even in the absence of any electromagnetic force fields, can be duplicated by a thought experiment for light waves in the gravitational field of a massive rotating cylinder, which demonstrates that the somewhat similar Sagnac-effect is not caused by centrifugal and Corioli’s forces, as it is sometimes claimed. In the substratum interpretation, both the Sagnac and Aharonov-Bohm effect find their explanation in a rotational motion of the substratum. If the substratum flow is irrotational, having the form of a potential vortex, these effects persist even though there are no force fields present.
This chapter presents the derivation of Berry's phase. Many classical phenomena have corresponding quantum mechanical analogue. Therefore, it is natural to identify a classical analogue of Berry's phase. The concept of Berry's phase has been used in the study of quantized Hall Effect, the spin statistics properties of quasiparticle excitations, the rotation of photon polarization in helical optical fibers, etc. The chapter discusses various applications of Berry's phase in solid state physics. The Berry's phase in one-dimension is usually called Zak phase and is used for a better understanding of electric polarization in dielectrics, protected edge states and Wannier–Stark ladders and integer quantum Hall effect. The chapter discusses the Aharonov–Bohm and Sagnac effects. The Aharonov–Bohm experiment consists of splitting an electron beam, passing around both sides of a solenoid and then recombining the beam. The Sagnac effect has been studied in resonant microcavities and light propagation in a wave guide also.
A gyroscope based on Sagnac interferometer measures the rotation rate relative to an inertial frame of reference. Sagnac effect originally has been derived and experimentally demonstrated with optical waves. Later, matter wave based Sagnac interferometers were developed due to inherent sensitivity over a photon based system. However in any interferometer whether it is photon or matter wave based the resultant phase shift due to counter-rotating waves is independent of the wave velocity. Here we show that one can have a larger phase shift with slower matter waves using Aharonov-Bohm effect: the phase difference of the counter propagating waves is proportional to the inverse square of the particle velocity.