Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation

While optics and mechanics are two distinct branches of physics, they are connected. It is well known that the geometrical/ray treatment of light has direct analogies to mechanical descriptions of particle motion. However, connections between coherence wave optics and classical mechanics are rarely...

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Main Authors: Xiao-Feng Qian, Misagh Izadi
Format: Article
Language:English
Published: American Physical Society 2023-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.033110
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author Xiao-Feng Qian
Misagh Izadi
author_facet Xiao-Feng Qian
Misagh Izadi
author_sort Xiao-Feng Qian
collection DOAJ
description While optics and mechanics are two distinct branches of physics, they are connected. It is well known that the geometrical/ray treatment of light has direct analogies to mechanical descriptions of particle motion. However, connections between coherence wave optics and classical mechanics are rarely reported. Here we report links of the two through a systematic quantitative analysis of polarization and entanglement, two optical coherence properties under the wave description of light pioneered by Huygens and Fresnel. A generic complementary identity relation is obtained for arbitrary light fields. More surprisingly, through the barycentric coordinate system, optical polarization, entanglement, and their identity relation are shown to be quantitatively associated with the mechanical concepts of center of mass and moment of inertia via the Huygens-Steiner theorem for rigid body rotation. The obtained result bridges coherence wave optics and classical mechanics through the two theories of Huygens.
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spelling doaj.art-52d06bcc936045e0830117922e78d5762024-04-12T17:33:16ZengAmerican Physical SocietyPhysical Review Research2643-15642023-08-015303311010.1103/PhysRevResearch.5.033110Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relationXiao-Feng QianMisagh IzadiWhile optics and mechanics are two distinct branches of physics, they are connected. It is well known that the geometrical/ray treatment of light has direct analogies to mechanical descriptions of particle motion. However, connections between coherence wave optics and classical mechanics are rarely reported. Here we report links of the two through a systematic quantitative analysis of polarization and entanglement, two optical coherence properties under the wave description of light pioneered by Huygens and Fresnel. A generic complementary identity relation is obtained for arbitrary light fields. More surprisingly, through the barycentric coordinate system, optical polarization, entanglement, and their identity relation are shown to be quantitatively associated with the mechanical concepts of center of mass and moment of inertia via the Huygens-Steiner theorem for rigid body rotation. The obtained result bridges coherence wave optics and classical mechanics through the two theories of Huygens.http://doi.org/10.1103/PhysRevResearch.5.033110
spellingShingle Xiao-Feng Qian
Misagh Izadi
Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
Physical Review Research
title Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
title_full Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
title_fullStr Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
title_full_unstemmed Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
title_short Bridging coherence optics and classical mechanics: A generic light polarization-entanglement complementary relation
title_sort bridging coherence optics and classical mechanics a generic light polarization entanglement complementary relation
url http://doi.org/10.1103/PhysRevResearch.5.033110
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AT misaghizadi bridgingcoherenceopticsandclassicalmechanicsagenericlightpolarizationentanglementcomplementaryrelation