dorsal/arxiv
View SchemaA note on the geometric phase in adiabatic approximation
| Authors | D. M. Tong, K. Singh, L. C. Kwek, C. H. Oh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406163 |
| URL | https://arxiv.org/abs/quant-ph/0406163 |
| DOI | 10.1016/j.physleta.2005.03.043 |
| Journal | Phys. Lett. A 339(2005)288 |
Abstract
The adiabatic theorem shows that the instantaneous eigenstate is a good approximation of the exact solution for a quantum system in adiabatic evolution. One may therefore expect that the geometric phase calculated by using the eigenstate should be also a good approximation of exact geometric phase. However, we find that the former phase may differ appreciably from the latter if the evolution time is large enough.
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"abstract": "The adiabatic theorem shows that the instantaneous eigenstate is a good\napproximation of the exact solution for a quantum system in adiabatic\nevolution. One may therefore expect that the geometric phase calculated by\nusing the eigenstate should be also a good approximation of exact geometric\nphase. However, we find that the former phase may differ appreciably from the\nlatter if the evolution time is large enough.",
"arxiv_id": "quant-ph/0406163",
"authors": [
"D. M. Tong",
"K. Singh",
"L. C. Kwek",
"C. H. Oh"
],
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"quant-ph"
],
"doi": "10.1016/j.physleta.2005.03.043",
"journal_ref": "Phys. Lett. A 339(2005)288",
"title": "A note on the geometric phase in adiabatic approximation",
"url": "https://arxiv.org/abs/quant-ph/0406163"
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