Topological phases in quantum mechanics and polarization optics
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The Berry phase provides a natural geometrical formalism that describes variations of the light polarization along the propagation trajectory.
“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 [4]
In the generic case of an elliptical polarization, Eq. (3.28) describes the same turn of the polarization ellipse on angle Φ_B with its eccentricity conserved.
“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 [4]
For a cyclic evolution in momentum space, the Berry phase equals the solid angle cut by the contour Γ.
“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 [4]
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 [4]
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 [4]
The geometrical phase in this form is equivalent to Rytov's law of the polarization evolution.
“The geometrical phase in this form is equivalent to the Rytov's law of the polarization evolution, which had been invented long before the Berry phase discovery [4,8,9,59].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [4]
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Research works printed but not linked: 15
- Arodz A. Examples of Connections Induced in Adiaba tic Preprint Jagellonian Univ. 1988.
- S. N. A Realisation of Berry's Non Abelian Gauge Preprint Theor. Phys. 1989.
- Wells Analysis in Complex Prentice Hall ed. No. 4, 1973.
- C., Gibbons G. Quantum Phase in the Evolution of a Spin A Physical Consequence of the Non trivial Topology of the Quan Preprint 1987.
- Acad. Sci. Ser. A. 1956. V. 44. P. 247; то lected Work of S. Pancharatnam/Ed G. W. Oxford Univ. 1975.
- P., Birch R. D., D. Dig. of Intern. Conference on Integrated Optics: Optical Fiber Communications European Conference on Optical Geneva, P. 135.
- S.//Berry's Phase, Locally Frames and Preprint -P. 33.
- Onofri E. Vector Coherent States and Gauge res in Quantum Preprint 1989.
- A. P., Dietz Motion and the Structure of energy Surfaces of Periodically Driven Quantum Preprint 86. Lett. Ser. B. 1977. V. 205. P. 312.
- V. M. В., B. A. S. Proceedings of the Internatifonal Few body Workshop. Kalinin, August 1. P. 1.
- J. Phase and the Character of Quantum Time Evo Preprint Univ.
- B. Methods and the Gauge Structure of Berry's Preprint
- A. Quantum Statistical Preprint Report 100. Jadczyk Summer Workshop on Math. Physics: Group Theoretical Methods and Physical Applications: Proceedings of 7th Summer on Mathemati cal Physics. Claustal, FRG/Ed. H. Berlin a. 1988.
- Dabrowski Grosse Quantum Holonomy for Mixed Preprint 1988. 102. Math. Phys. 1986. V. 24. P. 229, 103.
- Freed J. Rev. Ser. A. 1989. V. 39. P. 3238. 104. J. Phys. Ser. A. 1986. V. 18. P. 221. 105. At. and Phys. 1988. V. 21. P. Intern. Mod. Phys. Ser. A. 1988. V. 3. P. 285. 106. Gozzi Thacker W. of the Workshop on Skyrmions and Anomali es. Krakow, Poland//Ed. M. Singapore a. World Scientific, 1987. 107. H. Ю. А. Асимптотические методы в теории нейных 2 е Наука, 1977. 108. Арнольд В. Козлов В. В., А. Математические аспекты класси ческой небесной ВИНИТИ АН СССР, (Итоги науки и техники. Сер. «Современные проблемы математики. Фундаментальные направле ния». Т. 3). 109.
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Geometric phases in singlemode fiber lightguides and fiber ring interferometers
Malykin, G. B., & Pozdnyakova, V. I. (2004) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0174.200403e.0303 · Cited by 13 · see citing works
- Authors
- Vinitskii, S. I., Derbov, V. L., Dubovik, V. M., Markovski, B. L., & Stepanovskii, Y. P.
- ORCID
- Derbov, V.L.
- Venue
- Uspekhi Fizicheskih Nauk
- Published
- 1990
- Volume
- 160
- Issue
- 6
- Pages
- 1
- ISSN
- 0042-1294 (ISSN-L)
- 1996-6652
- OpenAlex
- W4231942500
- Cited by
- 68
- References
- 0
- Citations by year
- 2026: 1 · 2023: 2 · 2020: 1 · 2019: 2 · 2017: 1 · 2016: 1 · 2013: 5 · 2012: 1
- FWCI
- 1.10
- Type
- journal article
- Language
- ru
- Open access
- diamond
- doi.org
- Locations
- Uspekhi Fizicheskih Nauk (publishedVersion)
- Topics
- 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 › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- topological phases, quantum mechanics, polarization optics, Berry phase, topological phase transition
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