Geometric phases of light: insights from fibre bundle theory
arXiv:2202.04356 · doi:10.1103/RevModPhys.94.031001
Abstract
Geometric phases are ubiquitous in physics; they act as memories of the transformation of a physical system. In optics, the most prominent examples are the Pancharatnam-Berry phase and the spin-redirection phase. Recent technological advances in phase and polarization structuring have led to the discovery of additional geometric phases of light. The underlying mechanism for all of these is provided by fibre bundle theory. In this colloquium, we review how fibre bundle theory does not only shed light on the origin of geometric phases of light, but also lays the foundations for the exploration of high dimensional state spaces, with implications for topological photonics and quantum communications.
Submitted to Reviews of Modern Physics
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- Experimental measurement of the geometric phase of non-geodesic circles
- Poincaré sphere engineering of dynamical ferroelectric topological solitons
- Dirac Equation for Photons: Origin of Polarisation
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- Tensor-driven geometric phase in nonlinear AlGaAs metasurfaces
- Geometric and holonomic quantum computation
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