dorsal/arxiv
View SchemaAdiabatic Geometric Phase for a General Quantum States
| Authors | Biao Wu, Jie Liu, Qian Niu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403213 |
| URL | https://arxiv.org/abs/quant-ph/0403213 |
| DOI | 10.1103/PhysRevLett.94.140402 |
| Journal | Phys. Rev. Lett. 94 (2005) 140402 |
Abstract
A geometric phase is found for a general quantum state that undergoes adiabatic evolution. For the case of eigenstates, it reduces to the original Berry's phase. Such a phase is applicable in both linear and nonlinear quantum systems. Furthermore, this new phase is related to Hannay's angles as we find that these angles, a classical concept, can arise naturally in quantum systems. The results are demonstrated with a two-level model.
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"abstract": "A geometric phase is found for a general quantum state that undergoes\nadiabatic evolution. For the case of eigenstates, it reduces to the original\nBerry\u0027s phase. Such a phase is applicable in both linear and nonlinear quantum\nsystems. Furthermore, this new phase is related to Hannay\u0027s angles as we find\nthat these angles, a classical concept, can arise naturally in quantum systems.\nThe results are demonstrated with a two-level model.",
"arxiv_id": "quant-ph/0403213",
"authors": [
"Biao Wu",
"Jie Liu",
"Qian Niu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.94.140402",
"journal_ref": "Phys. Rev. Lett. 94 (2005) 140402",
"title": "Adiabatic Geometric Phase for a General Quantum States",
"url": "https://arxiv.org/abs/quant-ph/0403213"
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