Symmetry and Quantum Features in Optical Vortices

Optical vortices are beams of laser light with screw symmetry in their wavefront. With a corresponding azimuthal dependence in optical phase, they convey orbital angular momentum, and their methods of production and applications have become one of the most rapidly accelerating areas in optical physi...

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Main Author: David L. Andrews
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/8/1368
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author David L. Andrews
author_facet David L. Andrews
author_sort David L. Andrews
collection DOAJ
description Optical vortices are beams of laser light with screw symmetry in their wavefront. With a corresponding azimuthal dependence in optical phase, they convey orbital angular momentum, and their methods of production and applications have become one of the most rapidly accelerating areas in optical physics and technology. It has been established that the quantum nature of electromagnetic radiation extends to properties conveyed by each individual photon in such beams. It is therefore of interest to identify and characterize the symmetry aspects of the quantized fields of vortex radiation that relate to the beam and become manifest in its interactions with matter. Chirality is a prominent example of one such aspect; many other facets also invite attention. Fundamental CPT symmetry is satisfied throughout the field of optics, and it plays significantly into manifestations of chirality where spatial parity is broken; duality symmetry between electric and magnetic fields is also involved in the detailed representation. From more specific considerations of spatial inversion, amongst which it emerges that the topological charge has the character of a pseudoscalar, other elements of spatial symmetry, beyond simple parity inversion, prove to repay additional scrutiny. A photon-based perspective on these features enables regard to be given to the salient quantum operators, paying heed to quantum uncertainty limits of observables. The analysis supports a persistence in features of significance for the material interactions of vortex beams, which may indicate further scope for suitably tailored experimental design.
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spelling doaj.art-4dbfeeb415fc420cb64d0e39233dce022023-11-22T10:00:13ZengMDPI AGSymmetry2073-89942021-07-01138136810.3390/sym13081368Symmetry and Quantum Features in Optical VorticesDavid L. Andrews0School of Chemistry, University of East Anglia, Norwich Research Park, Norwich NR4 7TJ, UKOptical vortices are beams of laser light with screw symmetry in their wavefront. With a corresponding azimuthal dependence in optical phase, they convey orbital angular momentum, and their methods of production and applications have become one of the most rapidly accelerating areas in optical physics and technology. It has been established that the quantum nature of electromagnetic radiation extends to properties conveyed by each individual photon in such beams. It is therefore of interest to identify and characterize the symmetry aspects of the quantized fields of vortex radiation that relate to the beam and become manifest in its interactions with matter. Chirality is a prominent example of one such aspect; many other facets also invite attention. Fundamental CPT symmetry is satisfied throughout the field of optics, and it plays significantly into manifestations of chirality where spatial parity is broken; duality symmetry between electric and magnetic fields is also involved in the detailed representation. From more specific considerations of spatial inversion, amongst which it emerges that the topological charge has the character of a pseudoscalar, other elements of spatial symmetry, beyond simple parity inversion, prove to repay additional scrutiny. A photon-based perspective on these features enables regard to be given to the salient quantum operators, paying heed to quantum uncertainty limits of observables. The analysis supports a persistence in features of significance for the material interactions of vortex beams, which may indicate further scope for suitably tailored experimental design.https://www.mdpi.com/2073-8994/13/8/1368optical vortexstructured lighttwisted lightLaguerre-Gaussianhelicitychirality
spellingShingle David L. Andrews
Symmetry and Quantum Features in Optical Vortices
Symmetry
optical vortex
structured light
twisted light
Laguerre-Gaussian
helicity
chirality
title Symmetry and Quantum Features in Optical Vortices
title_full Symmetry and Quantum Features in Optical Vortices
title_fullStr Symmetry and Quantum Features in Optical Vortices
title_full_unstemmed Symmetry and Quantum Features in Optical Vortices
title_short Symmetry and Quantum Features in Optical Vortices
title_sort symmetry and quantum features in optical vortices
topic optical vortex
structured light
twisted light
Laguerre-Gaussian
helicity
chirality
url https://www.mdpi.com/2073-8994/13/8/1368
work_keys_str_mv AT davidlandrews symmetryandquantumfeaturesinopticalvortices