dorsal/arxiv
View SchemaUnified Geometric Perspective for Spin-1 Systems: Bridging Nematic Director and Majorana Stars
| Authors | Jiangnan Biguo, Rourou Ma |
|---|---|
| Categories | |
| ArXiv ID | 2601.06936vv1 |
| URL | https://arxiv.org/abs/2601.06936 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We present a unified geometric approach for spin-1 systems that connects seemingly distinct geometric representations such as the nematic director, the Cartesian representation and the Majorana stellar representation. Starting from a product state of two distinguishable spin-1/2 particles, we provide a direct way to capture crucial geometric information. This perspective reveals the fundamental interplay between subspace projection and geometric constraints. This approach effectively maps magnetic solitons onto a kink model, allowing us to derive their equations of motion, a task not readily achieved with traditional methods. This simplified dynamical description reveals that the novel transition of these solitons in a harmonic trap corresponds to a fundamental transformation between kink and dip structures in the underlying geometry.
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"abstract": "We present a unified geometric approach for spin-1 systems that connects seemingly distinct geometric representations such as the nematic director, the Cartesian representation and the Majorana stellar representation. Starting from a product state of two distinguishable spin-1/2 particles, we provide a direct way to capture crucial geometric information. This perspective reveals the fundamental interplay between subspace projection and geometric constraints. This approach effectively maps magnetic solitons onto a kink model, allowing us to derive their equations of motion, a task not readily achieved with traditional methods. This simplified dynamical description reveals that the novel transition of these solitons in a harmonic trap corresponds to a fundamental transformation between kink and dip structures in the underlying geometry.",
"arxiv_id": "2601.06936",
"authors": [
"Jiangnan Biguo",
"Rourou Ma"
],
"categories": [
"cond-mat.quant-gas"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Unified Geometric Perspective for Spin-1 Systems: Bridging Nematic Director and Majorana Stars",
"url": "https://arxiv.org/abs/2601.06936",
"version": "v1"
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