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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“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]
In the citing paper
“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]
In the citing paper
“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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Cites
Items 201–214 of 214
The area theorem of the Berry phase for the time-dependent externally driven system
Yang, L., & Yan, F. (2000) · Physics Letters A · doi:10.1016/s0375-9601(00)00004-9 · Cited by 6
Quantal phase in split-beam interferometry
Sjöqvist, E. (2001) · Physical Review A · doi:10.1103/physreva.63.035602 · Cited by 6
Quantum phases and the degenerate optical parametric oscillator
Cerveró, J. M., & Lejarreta, J. D. (1997) · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · doi:10.1088/1355-5111/9/3/002 · Cited by 6
The Pancharatnam and the Berry phases in three-level photonic systems
Ben-Aryeh, Y. (2003) · Journal of Modern Optics · doi:10.1080/09500340308234586 · Cited by 5
Self-citationBerry-phase-induced achromatic plate for atomic interferometry
Olshanii, M. (1994) · Physics Letters A · doi:10.1016/0375-9601(94)90696-3 · Cited by 5
Berry phase and interference effects in three-level atoms
Ben-Aryeh, Y. (2002) · Journal of Modern Optics · doi:10.1080/09500340110087237 · Cited by 5
Self-citationPancharatnam and Berry Phases in Three-Level Photonic Systems
Ben-Aryeh, Y. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 4
Self-citationTrigonometry of the quantum state space, geometric phases and relative phases
Ortega, R., & Santander, M. (2002) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/2/312 · Cited by 3
Polarization of the light scattered by mercury vapor near the reonance periodicty
Darrow, K. K. (1923) · Journal of the Optical Society of America · doi:10.1364/josa.7.000230 · Cited by 3
Measurement of the helicity of photon pairs using the optical Berry phase
Siebert, K. J., Schmitzer, H., & Dultz, W. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)00849-6 · Cited by 3
On non-adiabatic holonomic quantum computer
Shalyt-Margolin, A., Стражев, В. И., & Tregubovich, A. Y. (2003) · Physics Letters A · doi:10.1016/s0375-9601(03)00677-7 · Cited by 2
Berry phases and Rabi oscillations
Moore, D. J. (1992) · Quantum Optics Journal of the European Optical Society Part B · doi:10.1088/0954-8998/4/2/006 · Cited by 2
Berry phase for a nondegenerate three-level quantum system
Bukanov, I. V., Tolkachev, E. A., & Tregubovich, A. Y. (1996) · Physics of Atomic Nuclei · Cited by 2
Vacuum induced Berry phase: theory and experimental proposal
Vedral, V., Bose, S., Carollo, A. C. M., Fuentes-Guridi, I., & Santos, M. F. (2003) · Journal of Modern Optics · doi:10.1080/0950034031000069505 · Cited by 1
Research works printed but not linked: 2
- Yariv A, 1991, Optical Electronics
- Bukanov I V, 1996, Phys. At. Nucl., 59, 659
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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