Spin Hall effect of photons in a static gravitational field
Open accessAbstract
Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in a static gravitational field. These equations which are obtained in the representation diagonalizing the Hamiltonian at the order $\ensuremath{\hbar}$, present the first order corrections to the geometrical optics. The photon Hamiltonian shows a new kind of helicity-torsion coupling. However, even for a torsionless space-time, photons do not follow the usual null geodesic as a consequence of an anomalous velocity term. This term is responsible for the gravitational birefringence phenomenon: photons with distinct helicity follow different geodesics in a static gravitational field.
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This polarization-dependent shift is known as the spin Hall effect of light or optical Magnus effect.
“This effect is known as the spin Hall effect of light or optical Magnus effect [24 -35]”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [33]
The Berry phase induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.
“In particular, it induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [33]
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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 · see citing works
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
Foldy, L. L., & Wouthuysen, S. A. (1950) · Physical Review · doi:10.1103/physrev.78.29 · Cited by 2,183 · see citing works
Dissipationless Quantum Spin Current at Room Temperature
Murakami, S., Nagaosa, N., & Zhang, S. (2003) · Science · doi:10.1126/science.1087128 · Cited by 1,947 · 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
Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
Sundaram, G. M., & Niu, Q. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.14915 · Cited by 1,042 · see citing works
Group Theoretical Discussion of Relativistic Wave Equations.
Bargmann, V., & Wigner, E. (1948) · Proceedings of the National Academy of Sciences of the United States of America · doi:10.1073/pnas.34.5.211 · Cited by 753 · see citing works
Bliokh, K. Y., & Bliokh, Y. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.073903 · Cited by 753 · see citing works
Manifestations of Berry's Topological Phase for the Photon
Chiao, R. Y., & Wu, Y.-S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.933 · Cited by 482 · see citing works
Topological spin transport of photons: the optical Magnus effect and Berry phase
Bliokh, K. Y., & Bliokh, Y. P. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.10.035 · Cited by 201 · see citing works
Dooghin, A. V., Кундикова, Н. Д., Liberman, V. S., & Zel’dovich., B. Y. (1992) · Physical Review A · doi:10.1103/physreva.45.8204 · Cited by 186 · see citing works
Scattering of Electromagnetic Radiation from a Black Hole
Mashhoon, B. (1973) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.7.2807 · Cited by 169 · see citing works
Energy bands in the presence of an external force field—II
Adams, E. N., & Blount, E. I. (1959) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(59)90004-6 · Cited by 160 · 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
Self-citationObukhov, Y. N. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.192 · Cited by 141 · see citing works
Semiclassical limit for Dirac particles interacting with a gravitational field
Silenko, A. J., & Teryaev, O. V. (2005) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.71.064016 · Cited by 136 · see citing works
Bliokh, K. Y., & Bliokh, Y. P. (2004) · Physical Review E · doi:10.1103/physreve.70.026605 · Cited by 129 · see citing works
Fermat principle for spinning light
Duval, C., Horváth, Z., & Horváthy, P. A. (2006) · Physical Review D · doi:10.1103/physrevd.74.021701 · Cited by 107 · see citing works
Topological spin transport of a relativistic electron
Bliokh, K. Y. (2005) · Europhysics Letters (EPL) · doi:10.1209/epl/i2005-10205-1 · Cited by 81 · see citing works
Spin gauge fields: From Berry phase to topological spin transport and Hall effects
Bliokh, K. Y., & Bliokh, Y. P. (2005) · Annals of Physics · doi:10.1016/j.aop.2005.03.001 · Cited by 78 · see citing works
Unitary Representations of the Poincaré Group and Relativistic Wave Equations
Ohnuki, Y., Kitakado, S., & Sugiyama, T. (1988) · WORLD SCIENTIFIC eBooks · doi:10.1142/0537 · Cited by 72 · see citing works
Monopole and Berry phase in momentum space in noncommutative quantum mechanics
Bérard, A., & Mohrbach, H. (2004) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.69.127701 · Cited by 63 · see citing works
Self-citationGeometrical spinoptics and the optical Hall effect
Duval, C., Horvȧth, Z., & Horváthy, P. A. (2006) · Journal of Geometry and Physics · doi:10.1016/j.geomphys.2006.07.003 · Cited by 62 · see citing works
Can Einstein's theory of gravitation be tested beyond the geometrical optics limit?
Mashhoon, B. (1974) · Nature · doi:10.1038/250316a0 · Cited by 59 · see citing works
Semiclassical dynamics of electrons in magnetic Bloch bands: A Hamiltonian approach
Gosselin, P., Menas, F., Bérard, A., & Mohrbach, H. (2006) · Europhysics Letters (EPL) · doi:10.1209/epl/i2006-10321-4 · Cited by 42 · see citing works
Self-citationSpacetime metric from local and linear electrodynamics: A new axiomatic scheme
Hehl, F. W., & Obukhov, Y. N. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 41 · see citing works
Torsion nonminimally coupled to the electromagnetic field and birefringence
Rubilar, G. F., Obukhov, Y. N., & Hehl, F. W. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/14/101 · Cited by 30 · see citing works
Hermitian Dirac Hamiltonian in the time-dependent gravitational field
Leclerc, M. (2006) · Classical and Quantum Gravity · doi:10.1088/0264-9381/23/12/001 · Cited by 30 · see citing works
Non-commutative geometry and measurements of polarized two photon coincidence counts
Sivasubramanian, S., Castellani, G., Fabiano, N., et al. (2003) · Annals of Physics · doi:10.1016/j.aop.2003.11.007 · Cited by 9 · see citing works
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Observation of the Spin Hall Effect of Light via Weak Measurements
Hosten, O., & Kwiat, P. (2008) · Science · doi:10.1126/science.1152697 · Cited by 2,026 · 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
Enhanced and switchable spin Hall effect of light near the Brewster angle on reflection
Luo, H., Zhou, X., Shu, W., Wen, S., & Fan, D. (2011) · Physical Review A · doi:10.1103/physreva.84.043806 · Cited by 322 · see citing works
Experimental observation of the spin Hall effect of light on a nanometal film via weak measurements
Zhou, X., Xiao, Z., Luo, H., & Wen, S. (2012) · Physical Review A · doi:10.1103/physreva.85.043809 · Cited by 310 · 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–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
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
- Authors
- Gosselin, P., Bérard, A., & Mohrbach, H.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-19
- Volume
- 75
- Issue
- 8
- Pages
- 084035
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2036510681
- Cited by
- 123
- References
- 28
- Citations by year
- 2026: 7 · 2025: 12 · 2024: 10 · 2023: 13 · 2022: 12 · 2021: 8 · 2020: 5 · 2019: 6 · 2018: 6 · 2017: 5 · 2016: 5 · 2015: 1 · 2014: 1 · 2013: 3 · 2012: 5
- FWCI
- 2.99
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- Bargmann-Wigner equations, semiclassical equations of motion, anomalous velocity, gravitational birefringence, null geodesics, static gravitational field, photon helicity
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