dorsal/arxiv
View SchemaThe Quantum Geometric Phase between Orthogonal States
| Authors | Hon Man Wong, Kai Ming Cheng, M. -C. Chu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410053 |
| URL | https://arxiv.org/abs/quant-ph/0410053 |
| DOI | 10.1103/PhysRevLett.94.070406 |
| Journal | Phys. Rev. Lett. 94, 070406 (2005) |
Abstract
We show that the geometric phase between any two states, including orthogonal states, can be computed and measured using the notion of projective measurement, and we show that a topological number can be extracted in the geometric phase change in an infinitesimal loop near an orthogonal state. Also, the Pancharatnam phase change during the passage through an orthogonal state is shown to be either $\pi$ or zero (mod $2\pi$). All the off-diagonal geometric phases can be obtained from the projective geometric phase calculated with our generalized connection.
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"abstract": "We show that the geometric phase between any two states, including orthogonal\nstates, can be computed and measured using the notion of projective\nmeasurement, and we show that a topological number can be extracted in the\ngeometric phase change in an infinitesimal loop near an orthogonal state. Also,\nthe Pancharatnam phase change during the passage through an orthogonal state is\nshown to be either $\\pi$ or zero (mod $2\\pi$). All the off-diagonal geometric\nphases can be obtained from the projective geometric phase calculated with our\ngeneralized connection.",
"arxiv_id": "quant-ph/0410053",
"authors": [
"Hon Man Wong",
"Kai Ming Cheng",
"M. -C. Chu"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.94.070406",
"journal_ref": "Phys. Rev. Lett. 94, 070406 (2005)",
"title": "The Quantum Geometric Phase between Orthogonal States",
"url": "https://arxiv.org/abs/quant-ph/0410053"
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