Total Angular Momentum Coherent State Fields
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917315325460480 |
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| author | Aguirre-Olivas, D. Mellado-Villaseñor, G. Perez-Garcia, B. Rodriguez-Lara, B. M. |
| author_facet | Aguirre-Olivas, D. Mellado-Villaseñor, G. Perez-Garcia, B. Rodriguez-Lara, B. M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04778 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Total Angular Momentum Coherent State Fields Aguirre-Olivas, D. Mellado-Villaseñor, G. Perez-Garcia, B. Rodriguez-Lara, B. M. Optics 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. |
| title | Total Angular Momentum Coherent State Fields |
| topic | Optics |
| url | https://arxiv.org/abs/2603.04778 |