Quantum features in the orthogonality of optical modes for structured and plane-wave light

Optics Letters
David L Andrews, Kayn A Forbes

Abstract

A fundamental photon creation-annihilation commutation relation underpins the familiar quantum formulation of optics. However, an internal inconsistency becomes apparent in the pursuit of structured light applications. This requires the relationship between operator commutation and mode orthogonality to be recast in a form ensuring full consistency with the precepts of quantum theory. A suitable reformulation, shown to register correctly an intrinsic quantum uncertainty in the associated interactions, has special relevance to optical vortex physics-particularly with regard to information content-through its connection to the degrees of freedom in the associated radiation modes.

References

Jul 5, 2002·Physical Review Letters·Jonathan LeachJohannes Courtial
Nov 1, 2004·Optics Express·Graham GibsonSonja Franke-Arnold
Jan 15, 2011·Physical Review Letters·Gregorius C G BerkhoutMiles J Padgett
Nov 10, 2015·Physical Review Letters·Václav PotočekJohn Jeffers
Jan 11, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Mario KrennAnton Zeilinger
Jan 13, 2018·Physical Review Letters·Yiyu ZhouRobert W Boyd
Feb 6, 2018·Optics Letters·Kayn A Forbes, David L Andrews
Mar 7, 2019·Light, Science & Applications·Manuel ErhardAnton Zeilinger

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Citations

Jul 28, 2020·The Journal of Chemical Physics·Dale GreenA Salam
Sep 5, 2019·The Journal of Physical Chemistry Letters·Jack S FordGarth A Jones

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