The DOI matches its Crossref record; 214 of the 214 references it cites were found in a registry or an index.
Berry and Pancharatnam topological phases of atomic and optical systems
Open accessAbstract
Theoretical and experimental studies of Berry and Pancharatnam phases are reviewed. Basic elements of differential geometry necessary for understanding the topological nature of these phases are presented. The basic theory analysed by Berry in relation to magnetic monopoles is presented. The theory is generalized to nonadiabatic processes and to noncyclic Pancharatnam phases. Different systems are discussed including polarization optics, n -level atomic systems, neutron interferometry and molecular topological phases.
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“In the generic case of an elliptical polarization, Eq. (3.28) describes the same turn of the polarization ellipse on angle B Φ with its eccentricity conserved, Fig. 1 [4 -20,59].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [7]
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“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 [7]
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“For a cyclic evolution in momentum space (which corresponds to a ray trajectory with the coincident input and output directions of propagation), the Berry phase (3.26) equals [4 -20]”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [7]
In the citing paper
“The Berry phase provides a natural geometrical formalism that describes variations of the light polarization along the propagation trajectory (see reviews [4 -7] and original papers [8 -20]).”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [7]
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Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,627
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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
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
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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
Conservation of Isotopic Spin and Isotopic Gauge Invariance
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Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,160
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,937
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Research works printed but not linked: 2
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Cited by
Sorted by citations
Spin–orbit interactions of light
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
Goos–Hänchen and Imbert–Fedorov beam shifts: an overview
Bliokh, K. Y., & Aiello, A. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/1/014001 · Cited by 639
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
Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects
Bliokh, K. Y., Alonso, M. A., & Dennis, M. R. (2019) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab4415 · Cited by 137
Gangaraj, S. A. H., Silveirinha, M. G., & Hanson, G. W. (2017) · IEEE journal on multiscale and multiphysics computational techniques · doi:10.1109/jmmct.2017.2654962 · Cited by 95
Metadata
- Authors
- Ben-Aryeh, Y.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Corresponding author
- Ben-Aryeh, Y
- ORCID
- Ben-Aryeh, Y
- Venue
- Journal of Optics B: Quantum and Semiclassical Optics
- Publisher
- IOP Publishing
- Published
- 2004-03-26
- Volume
- 6
- Issue
- 4
- Pages
- R1-R18
- ISSN
- 1464-4266 (ISSN-L)
- 1741-3575
- OpenAlex
- W2044873176
- Cited by
- 40
- References
- 214
- Citations by year
- 2026: 2 · 2025: 1 · 2023: 7 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 2 · 2017: 1 · 2015: 1 · 2014: 1 · 2013: 4 · 2012: 3
- FWCI
- 1.43
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Optics B Quantum and Semiclassical Optics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- Berry phase, Pancharatnam phase, topological phases, differential geometry, magnetic monopoles, nonadiabatic processes, polarization optics, neutron interferometry
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