Majorana stellar representation of twisted photons

Majorana stellar representation, which visualizes a quantum spin as points on the Bloch sphere, allows quantum mechanics to accommodate the concept of trajectory, the hallmark of classical physics. We extend this notion to the discrete cylinder, which is the phase space of the canonical pair angle a...

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Bibliographic Details
Published inPhysical review research Vol. 5; no. 3; p. L032006
Main Authors Fabre, Nicolas, Klimov, Andrei B., Murenzi, Romain, Gazeau, Jean-Pierre, Sánchez-Soto, Luis L.
Format Journal Article
LanguageEnglish
Published American Physical Society 01.07.2023
Subjects
Physics
Quantum Physics
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Summary:Majorana stellar representation, which visualizes a quantum spin as points on the Bloch sphere, allows quantum mechanics to accommodate the concept of trajectory, the hallmark of classical physics. We extend this notion to the discrete cylinder, which is the phase space of the canonical pair angle and orbital angular momentum. We demonstrate that the geometrical properties of the ensuing constellations aptly encapsulate the quantumness of the state.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.5.L032006