Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical Experiment
Abstract
We show that an evolving geometric phase induces a frequency shift. We report an optical experiment where we employ this effect to offset the frequency of a laser beam.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The spin-orbit Lagrangian can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω.
“At the same time, Eq. (3.14) shows that it can be treated as the angular Doppler effect term, which describes the phase shift of the wave carrying intrinsic angular momentum Σ and undergoing rotational evolution with angular frequency Ω [68 -80].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [75]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,201 · see citing works
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,884 · see citing works
Generalized theory of interference, and its applications: Part I. Coherent pencils
Pancharatnam, S. (1956) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03046050 · Cited by 1,616 · see citing works
Observation of Berry's Topological Phase by Use of an Optical Fiber
Tomita, A., & Chiao, R. Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.937 · Cited by 810 · see citing works
Classical adiabatic angles and quantal adiabatic phase
Berry, M. (1985) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/18/1/012 · Cited by 419 · see citing works
Quantum phase corrections from adiabatic iteration
Berry, M. (1987) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1987.0131 · Cited by 280 · see citing works
Observation of topological phase by use of a laser interferometer
Bhandari, R., & Samuel, J. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1211 · Cited by 234 · see citing works
Interpreting the anholonomy of coiled light
Berry, M. (1987) · Nature · doi:10.1038/326277a0 · Cited by 230 · see citing works
Some geometrical considerations of Berry’s phase
Anandan, J., & Stodolsky, L. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.35.2597 · Cited by 111 · see citing works
OPTICAL FREQUENCY SHIFTING BY ELECTRO-OPTIC EFFECT
Buhrer, C. F., Baird, D. H., & Conwell, E. M. (1962) · Applied Physics Letters · doi:10.1063/1.1753701 · Cited by 96 · see citing works
Collected Works of S Pancharatnam
Zienau, S. (1976) · Physics Bulletin · doi:10.1088/0031-9112/27/6/028 · Cited by 44 · see citing works
Comment on ’’Observation of Berry’s topological phase by use of an optical fiber’’
Haldane, F. D. M. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.1788 · Cited by 30 · see citing works
Quantum theory of partial coherence
Sudarshan, G. (1969) · Cited by 15 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Bomzon, Z., Biener, G., Kleiner, V., & Hasman, E. (2002) · Optics Letters · doi:10.1364/ol.27.001141 · Cited by 806 · see citing works
Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect
Bliokh, K. Y., Gorodetski, Y., Kleiner, V., & Hasman, E. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.030404 · Cited by 363 · see citing works
Polarization of light and topological phases
Bhandari, R. (1997) · Physics Reports · doi:10.1016/s0370-1573(96)00029-4 · Cited by 298 · see citing works
Measuring Stokes parameters by means of a polarization grating
Gori, F. (1999) · Optics Letters · doi:10.1364/ol.24.000584 · Cited by 287 · see citing works
Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
Minimal three-component SU(2) gadget for polarization optics
Simon, R., & Mukunda, N. (1990) · Physics Letters A · doi:10.1016/0375-9601(90)90732-4 · Cited by 151 · see citing works
Self-citationSpace-variant polarization manipulation
Hasman, E., Biener, G., Niv, A., & Kleiner, V. (2005) · Progress in Optics · doi:10.1016/s0079-6638(05)47004-3 · Cited by 107 · see citing works
Energy exchanges between a rotating retardation plate and a laser beam
Bretenaker, F., & Le Floch, A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.2316 · Cited by 47 · see citing works
Berry and Pancharatnam topological phases of atomic and optical systems
Ben-Aryeh, Y. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/4/r01 · Cited by 40 · see citing works
II Quantum Phenomena in Optical Interferometry
Hariharan, P., & Sanders, B. C. (1996) · Progress in Optics · doi:10.1016/s0079-6638(08)70313-5 · Cited by 36 · see citing works
Topological phase evolving from the orbital angular momentum of ‘coiled’ quantum vortices
Alexeyev, C. N., & Yavorsky, M. A. (2006) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/8/9/008 · Cited by 28 · see citing works
- Authors
- Simon, R., Kimble, H. J., & Sudarshan, E. C. G.
- Affiliations
- Institute of Mathematical Sciences (IN)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-07-04
- Volume
- 61
- Issue
- 1
- Pages
- 19-22
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2051196370
- Cited by
- 228
- References
- 14
- Citations by year
- 2026: 5 · 2025: 3 · 2024: 7 · 2023: 7 · 2022: 8 · 2021: 6 · 2020: 7 · 2019: 12 · 2018: 7 · 2017: 8 · 2016: 7 · 2015: 8 · 2014: 1 · 2013: 3 · 2012: 3
- FWCI
- 8.98
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- Berry phase, frequency shift, optical experiments, phase evolution
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review