Majorana stellar representation of twisted photons

Nicolas Fabre; Andrei B. Klimov; Romain Murenzi; Jean Pierre Gazeau; Luis L. Sánchez-Soto

doi:10.1103/PhysRevResearch.5.L032006

Majorana stellar representation of twisted photons

Nicolas Fabre
, Andrei B. Klimov
, Romain Murenzi
, Jean Pierre Gazeau
, Luis L. Sánchez-Soto

Complutense University
Universidad de Guadalajara
Abdus Salam International Centre for Theoretical Physics
Astroparticule and Cosmol APC
Departamento de Óptica
Max Planck Institute for the Science of Light

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

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.

Original language	English
Article number	L032006
Journal	Physical Review Research
Volume	5
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevResearch.5.L032006
Publication status	Published - 1 Jul 2023

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10.1103/PhysRevResearch.5.L032006

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title = "Majorana stellar representation of twisted photons",

abstract = "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.",

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AU - Fabre, Nicolas

AU - Klimov, Andrei B.

AU - Murenzi, Romain

AU - Gazeau, Jean Pierre

AU - Sánchez-Soto, Luis L.

N1 - Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

PY - 2023/7/1

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N2 - 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.

AB - 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.

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JO - Physical Review Research

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Majorana stellar representation of twisted photons

Abstract

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