dorsal/arxiv
View SchemaNon-Abelian generalization of off-diagonal geometric phases
| Authors | David Kult, Johan Åberg, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612164 |
| URL | https://arxiv.org/abs/quant-ph/0612164 |
| DOI | 10.1209/0295-5075/78/60004 |
| Journal | Europhys. Lett. 78, 60004 (2007) |
Abstract
If a quantum system evolves in a noncyclic fashion the corresponding geometric phase or holonomy may not be fully defined. Off-diagonal geometric phases have been developed to deal with such cases. Here, we generalize these phases to the non-Abelian case, by introducing off-diagonal holonomies that involve evolution of more than one subspace of the underlying Hilbert space. Physical realizations of the off-diagonal holonomies in adiabatic evolution and interferometry are put forward.
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"abstract": "If a quantum system evolves in a noncyclic fashion the corresponding\ngeometric phase or holonomy may not be fully defined. Off-diagonal geometric\nphases have been developed to deal with such cases. Here, we generalize these\nphases to the non-Abelian case, by introducing off-diagonal holonomies that\ninvolve evolution of more than one subspace of the underlying Hilbert space.\nPhysical realizations of the off-diagonal holonomies in adiabatic evolution and\ninterferometry are put forward.",
"arxiv_id": "quant-ph/0612164",
"authors": [
"David Kult",
"Johan \u00c5berg",
"Erik Sj\u00f6qvist"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/0295-5075/78/60004",
"journal_ref": "Europhys. Lett. 78, 60004 (2007)",
"title": "Non-Abelian generalization of off-diagonal geometric phases",
"url": "https://arxiv.org/abs/quant-ph/0612164"
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