dorsal/arxiv
View SchemaGeometric phases and criticality in spin systems
| Authors | Jiannis K. Pachos, Angelo C. M. Carollo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602154 |
| URL | https://arxiv.org/abs/quant-ph/0602154 |
| DOI | 10.1098/rsta.2006.1894 |
| Journal | Phil. Trans. R. Soc. A 364, 3463--3476 (2006) |
Abstract
A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the way for the use of geometric phases as a tool to study regions of criticality without having to undergo a quantum phase transition. As a concrete example a spin-1/2 chain with XY interactions is presented and the corresponding geometric phases are analyzed. The generalization of these results to the case of an arbitrary spin system provides an explanation for the existence of such a relation.
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"abstract": "A general formalism of the relation between geometric phases produced by\ncircularly evolving interacting spin systems and their criticality behavior is\npresented. This opens up the way for the use of geometric phases as a tool to\nstudy regions of criticality without having to undergo a quantum phase\ntransition. As a concrete example a spin-1/2 chain with XY interactions is\npresented and the corresponding geometric phases are analyzed. The\ngeneralization of these results to the case of an arbitrary spin system\nprovides an explanation for the existence of such a relation.",
"arxiv_id": "quant-ph/0602154",
"authors": [
"Jiannis K. Pachos",
"Angelo C. M. Carollo"
],
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"quant-ph"
],
"doi": "10.1098/rsta.2006.1894",
"journal_ref": "Phil. Trans. R. Soc. A 364, 3463--3476 (2006)",
"title": "Geometric phases and criticality in spin systems",
"url": "https://arxiv.org/abs/quant-ph/0602154"
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