Manifestations of Berry's Topological Phase for the Photon
Abstract
Recently, Berry recognized in quantum mechanics a topological phase factor arising from the adiabatic transport of a system around a closed circuit, which is essentially the Aharonov-Bohm effect in parameter space. Here we consider manifestations of this phase factor for a photon in a state of adiabatically invariant helicity. An interferometer is suggested to see this phase. Also, an effective optical activity for a helical optical fiber is predicted. These effects emerge on a classical level as topological features of Maxwell's theory.
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Spin-Hall effects are ubiquitous to any optical interfaces and have been measured for interfaces with metals, uniaxial crystals, semiconductors, nanometal films, graphene layers, and metasurfaces.
“Spin-Hall effects are ubiquitous to any optical interfaces. They have been measured for interfaces with metals 81 , uniaxial crystals 82 , and semiconductors 83 , as well as at nanometal films 84 , graphene layers 85 , and metasurfaces 86 .”
From Spin–orbit interactions of light (2015) · cites this paper as [82]
The Berry connection determines the natural parallel transport of the polarization vector e over the unit t-sphere.
“In this manner, polarization vector e is tangent to this sphere, and the Berry connection determines the natural parallel transport of e over the 2 S sphere, Fig. 2 [1 -7,9,13 -15,44,84 -90].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [14]
This evidences an adiabatic regime of the wave evolution, i.e., independence of the right- and left-hand circular polarizations.
“This evidences adiabatic regime of the wave evolution [4,12,14,17], i.e., independence of the right- and left-hand circular polarizations.”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [14]
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
Significance of Electromagnetic Potentials in the Quantum Theory
Aharonov, Y., & Bohm, D. (1959) · Physical Review · doi:10.1103/physrev.115.485 · Cited by 6,996 · see citing works
Quantised singularities in the electromagnetic field,
Dirac, P. A. M. (1931) · Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1931.0130 · Cited by 3,701 · see citing works
Consequences of anomalous ward identities
Wess, J., & Zumino, B. (1971) · Physics Letters B · doi:10.1016/0370-2693(71)90582-x · Cited by 2,888 · 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
Appearance of Gauge Structure in Simple Dynamical Systems
Wilczek, F., & Zee, A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.2111 · Cited by 1,775 · see citing works
Recent Developments in Gauge Theories
Hooft, G. ’., Itzykson, C., Jaffe, A. M., Lehmann, H., Mitter, P. K., Singer, I. M., & Stora, R. (1980) · Springer eBooks · doi:10.1007/978-1-4684-7571-5 · Cited by 1,256 · see citing works
Fractional Statistics and the Quantum Hall Effect
Arovas, D., Schrieffer, J. R., & Wilczek, F. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.722 · Cited by 1,213 · see citing works
Theoretical Considerations Concerning Quantized Magnetic Flux in Superconducting Cylinders
Byers, N., & Yang, C. N. (1961) · Physical Review Letters · doi:10.1103/physrevlett.7.46 · Cited by 964 · see citing works
Mead, C. A., & Truhlar, D. G. (1979) · The Journal of Chemical Physics · doi:10.1063/1.437734 · Cited by 879 · 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
Self-citationRealizations of Magnetic-Monopole Gauge Fields: Diatoms and Spin Precession
Moody, J. E., Shapere, A. D., & Wilczek, F. A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.893 · Cited by 284 · see citing works
Fundamental Aspects of Quantum Theory
Frigerio, A., & Gorini, V. (1986) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4684-5221-1 · Cited by 158 · see citing works
Hamiltonian interpretation of anomalies
Nelson, P., & Álvarez-Gaumé, L. (1985) · Communications in Mathematical Physics · doi:10.1007/bf01466595 · Cited by 148 · see citing works
Quantum Holonomy and the Chiral Gauge Anomaly
Niemi, A. J., & Semenoff, G. W. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.927 · Cited by 136 · see citing works
Quantum dynamics and statistics of vortices in two-dimensional superfluids
Haldane, F. D. M., & Wu, Y.-S. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.2887 · Cited by 131 · see citing works
Self-citationBerry's phase in chiral gauge theories
Sonoda, H. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90097-0 · Cited by 73 · see citing works
(1975) · Elsevier eBooks · doi:10.1016/c2013-0-10071-2 · Cited by 50 · see citing works
Dynamical Meaning of Quantum Adiabatic Phase: The Case of a Noncanonical System
Kuratsuji, H., & Iida, S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1003 · Cited by 41 · see citing works
A duality between massless particles and a charge-monopole system
Barut, A. O., & Bracken, A. J. (1983) · Letters in Mathematical Physics · doi:10.1007/bf00398762 · Cited by 7 · see citing works
Flagged first, then by citations
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Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · see citing works
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Hosten, O., & Kwiat, P. (2008) · Science · doi:10.1126/science.1152697 · Cited by 2,026 · see citing works
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Yin, X., Ye, Z., Rho, J., Wang, Y., & Zhang, X. (2013) · Science · doi:10.1126/science.1231758 · Cited by 1,300 · see citing works
Onoda, M., Murakami, S., & Nagaosa, N. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.083901 · Cited by 1,148 · see citing works
The Adiabatic Phase and Pancharatnam's Phase for Polarized Light
Berry, M. V. (1987) · Journal of Modern Optics · doi:10.1080/09500348714551321 · Cited by 1,068 · 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
Self-citationQuantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 725 · see citing works
Geometrodynamics of spinning light
Bliokh, K. Y., Niv, A., Kleiner, V., & Hasman, E. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.229 · Cited by 615 · see citing works
Spin-orbit interaction of a photon in an inhomogeneous medium
Liberman, V. S., & Zel’dovich, B. Y. (1992) · Physical Review A · doi:10.1103/physreva.46.5199 · Cited by 424 · 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
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
Spin Hall effect and Berry phase of spinning particles
Bérard, A., & Mohrbach, H. (2006) · Physics Letters A · doi:10.1016/j.physleta.2005.11.071 · Cited by 144 · see citing works
Spin Hall effect of photons in a static gravitational field
Gosselin, P., Bérard, A., & Mohrbach, H. (2007) · Physical Review D · doi:10.1103/physrevd.75.084035 · Cited by 123 · see citing works
Path dependence of the geometric rotation of polarization in optical fibers
Haldane, F. D. M. (1986) · Optics Letters · doi:10.1364/ol.11.000730 · Cited by 122 · see citing works
Geometrical aspects in optical wave-packet dynamics
Onoda, M., Murakami, S., & Nagaosa, N. (2006) · Physical Review E · doi:10.1103/physreve.74.066610 · Cited by 95 · see citing works
Spin–orbit coupling of light in asymmetric microcavities
Ma, L. B., Li, S. L., Fomin, V. M., Hentschel, M., Götte, J. B., Yin, Y., Jorgensen, M. R., & Schmidt, O. G. (2016) · Nature Communications · doi:10.1038/ncomms10983 · Cited by 88 · see citing works
Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
Bliokh, K. Y., Frolov, D. Y., & Kravtsov, Y. A. (2007) · Physical Review A · doi:10.1103/physreva.75.053821 · Cited by 67 · see citing works
Berry’s phase in the relativistic theory of spinning particles
Bialynicki-Birula, I., & Bialynicka-Birula, Z. (1987) · Physical Review D · doi:10.1103/physrevd.35.2383 · Cited by 65 · see citing works
Photon position operator with commuting components
Hawton, M. (1999) · Physical Review A · doi:10.1103/physreva.59.954 · Cited by 63 · see citing works
Kravtsov, Y. A., Naida, O. N., & Fuki, A. A. (1996) · Physics-Uspekhi · doi:10.1070/pu1996v039n02abeh000131 · Cited by 57 · see citing works
Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
Bliokh, K. Y., & Freilikher, V. D. (2006) · Physical Review B · doi:10.1103/physrevb.74.174302 · Cited by 55 · see citing works
Photon Berry’s phase as a classical topological effect
Segert, J. (1987) · Physical Review A · doi:10.1103/physreva.36.10 · Cited by 53 · see citing works
Geometric phase of optical rotators
Galvez, E. J., & Holmes, C. D. (1999) · Journal of the Optical Society of America A · doi:10.1364/josaa.16.001981 · Cited by 46 · see citing works
Berry's phase in optical interferometry: a simple derivation
Lipson, S. G. (1990) · Optics Letters · doi:10.1364/ol.15.000154 · Cited by 46 · 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
Geometric Canonical Phase Factors and Path Integrals
Kuratsuji, H. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1687 · Cited by 43 · see citing works
Backscattered polarization patterns, optical vortices, and the angular momentum of light
Schwartz, C., & Dogariu, A. (2006) · Optics Letters · doi:10.1364/ol.31.001121 · Cited by 34 · see citing works
Manifestation of Berry’s phase in image-bearing optical beams
Segev, M., Solomon, R., & Yariv, A. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.590 · Cited by 30 · see citing works
Dynamical Diffraction Theory for Wave Packet Propagation in Deformed Crystals
Sawada, K., Murakami, S., & Nagaosa, N. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.154802 · Cited by 29 · 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
Direct calculation of the Berry phase for spins and helicities
Jordan, T. F. (1987) · Journal of Mathematical Physics · doi:10.1063/1.527486 · Cited by 23 · see citing works
Spin-orbit interactions of light in isotropic media
Bliokh, K. Y., Aiello, A., & Alonso, M. A. (2012) · The Angular Momentum of Light · doi:10.1017/cbo9780511795213.009 · Cited by 20 · see citing works
The effect of spin–orbit coupling on the structure of the stopband in helical-core optical fibres
Alexeyev, C. N., Lapin, B. P., & Yavorsky, M. A. (2008) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/10/8/085006 · Cited by 12 · see citing works
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- Authors
- Chiao, R. Y., & Wu, Y.-S.
- Affiliations
- University of California, Berkeley (US)
- University of Utah (US)
- ORCID
- Chiao, Raymond Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-08-25
- Volume
- 57
- Issue
- 8
- Pages
- 933-936
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2075796909
- Cited by
- 482
- References
- 20
- Citations by year
- 2026: 11 · 2025: 11 · 2024: 9 · 2023: 17 · 2022: 13 · 2021: 28 · 2020: 11 · 2019: 18 · 2018: 15 · 2017: 12 · 2016: 12 · 2015: 9 · 2014: 6 · 2013: 10 · 2012: 9
- FWCI
- 15.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Keywords
- Berry phase, topological phases, photons, adiabatic transport, helicity, Aharonov-Bohm effect, parameter space, optical interferometer, optical activity, Maxwell's equations, classical electrodynamics
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