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arXiv · 2603.04778

Total Angular Momentum Coherent State Fields

D. Aguirre-Olivas·G. Mellado-Villaseñor·B. Perez-Garcia·B. M. Rodriguez-Lara
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Abstract

Structured light fields exploit spin and orbital angular momentum for precision manipulation, advanced imaging, and high-capacity communication. Orbital angular momentum coherent state beams interpolate between Hermite- and Laguerre-Gaussian beams, enabling continuous spatial control. We introduce a symmetry-based framework for joint control of polarization and spatial structure under the shared \$su(2)\$ Lie algebra of spin and orbital angular momentum. Within this structure, we construct total angular momentum fields as superpositions of circular polarization and Laguerre-Gaussian beams, and define their \$su(2)\$ coherent states within fixed-angular-momentum subspaces. A single complex parameter controls both polarization and spatial degrees of freedom, enabling continuous, symmetry-preserving tuning.

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D. Aguirre-Olivas, G. Mellado-Villaseñor, B. Perez-Garcia, B. M. Rodriguez-Lara. 2026-03-05. Total Angular Momentum Coherent State Fields. https://doi.org/10.1364/ol.603266

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