Wigner function for twisted photons
I. Rigas, L. L. Sanchez-Soto, A. B. Klimov, J. Rehacek, Z. Hradil

TL;DR
This paper develops a detailed theoretical framework using the Weyl-Wigner formalism to describe twisted photons, focusing on the effects of rotational periodicity and discrete angular momentum in quantum optics.
Contribution
It introduces a comprehensive Weyl-Wigner formalism tailored for angle-angular momentum pairs, highlighting the unique aspects of twisted photons.
Findings
Formalism accounts for rotational periodicity
Incorporates angular-momentum discreteness
Provides insights into twisted photon properties
Abstract
A comprehensive theory of the Weyl-Wigner formalism for the canonical pair angle-angular momentum is presented, with special emphasis in the implications of rotational periodicity and angular-momentum discreteness.
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