dorsal/arxiv
View SchemaLarge geometric phases and non-elementary monopoles
| Authors | Patricio Leboeuf, Amaury Mouchet |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404177 |
| URL | https://arxiv.org/abs/quant-ph/0404177 |
| DOI | 10.1088/0305-4470/36/11/314 |
| Journal | J.Phys.A36:2847-2856,2003 |
Abstract
Degeneracies in the spectrum of an adiabatically transported quantum system are important to determine the geometrical phase factor, and may be interpreted as magnetic monopoles. We investigate the mechanism by which constraints acting on the system, related to local symmetries, can create arbitrarily large monopole charges. These charges are associated with different geometries of the degeneracy. An explicit method to compute the charge as well as several illustrative examples are given.
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"abstract": "Degeneracies in the spectrum of an adiabatically transported quantum system\nare important to determine the geometrical phase factor, and may be interpreted\nas magnetic monopoles. We investigate the mechanism by which constraints acting\non the system, related to local symmetries, can create arbitrarily large\nmonopole charges. These charges are associated with different geometries of the\ndegeneracy. An explicit method to compute the charge as well as several\nillustrative examples are given.",
"arxiv_id": "quant-ph/0404177",
"authors": [
"Patricio Leboeuf",
"Amaury Mouchet"
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"doi": "10.1088/0305-4470/36/11/314",
"journal_ref": "J.Phys.A36:2847-2856,2003",
"title": "Large geometric phases and non-elementary monopoles",
"url": "https://arxiv.org/abs/quant-ph/0404177"
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