Angular Geometry of Atomic Multipole Transitions

Fuente: arXiv
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Autore principale: Campbell, Wesley C.
Natura: Preprint
Pubblicazione: 2025
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author Campbell, Wesley C.
author_facet Campbell, Wesley C.
contents A simple way to calculate Rabi frequencies is outlined for interactions of atomic or nuclear multipole moments with laser fields that focuses on their relative geometry. The resulting expression takes the form of a dot product between the laser polarization and a vector spherical harmonic, thereby naturally connecting to the multipole's far-field spontaneous-emission pattern and providing a way to visualize the interaction. Since the vector spherical harmonics are not yet a standard tool in quantum science, their relevant properties are reviewed. This approach is illustrated in the calculation of a variety of beam effects, yielding both perturbative corrections and some nontrivial cases with non-vanishing coupling.
format Preprint
id arxiv_https___arxiv_org_abs_2510_07451
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Angular Geometry of Atomic Multipole Transitions
Campbell, Wesley C.
Quantum Physics
Nuclear Experiment
Atomic Physics
A simple way to calculate Rabi frequencies is outlined for interactions of atomic or nuclear multipole moments with laser fields that focuses on their relative geometry. The resulting expression takes the form of a dot product between the laser polarization and a vector spherical harmonic, thereby naturally connecting to the multipole's far-field spontaneous-emission pattern and providing a way to visualize the interaction. Since the vector spherical harmonics are not yet a standard tool in quantum science, their relevant properties are reviewed. This approach is illustrated in the calculation of a variety of beam effects, yielding both perturbative corrections and some nontrivial cases with non-vanishing coupling.
title Angular Geometry of Atomic Multipole Transitions
topic Quantum Physics
Nuclear Experiment
Atomic Physics
url https://arxiv.org/abs/2510.07451