dorsal/arxiv
View SchemaPhase-space approach to Berry's phases
| Authors | Dariusz Chruscinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406026 |
| URL | https://arxiv.org/abs/quant-ph/0406026 |
| Journal | Open Sys. Information Dyn. 13 (2006) 67-74 |
Abstract
We propose a new formula for the adiabatic Berry phase which is based on phase-space formulation of quantum mechanics. This approach sheds a new light into the correspondence between classical and quantum adiabatic phases -- both phases are related with the averaging procedure: Hannay's angle with averaging over the classical torus and Berry's phase with averaging over the entire classical phase space with respect to the corresponding Wigner function. Generalizations to the non-abelian Wilczek--Zee case and mixed states are also included.
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"abstract": "We propose a new formula for the adiabatic Berry phase which is based on\nphase-space formulation of quantum mechanics. This approach sheds a new light\ninto the correspondence between classical and quantum adiabatic phases -- both\nphases are related with the averaging procedure: Hannay\u0027s angle with averaging\nover the classical torus and Berry\u0027s phase with averaging over the entire\nclassical phase space with respect to the corresponding Wigner function.\nGeneralizations to the non-abelian Wilczek--Zee case and mixed states are also\nincluded.",
"arxiv_id": "quant-ph/0406026",
"authors": [
"Dariusz Chruscinski"
],
"categories": [
"quant-ph"
],
"journal_ref": "Open Sys. Information Dyn. 13 (2006) 67-74",
"title": "Phase-space approach to Berry\u0027s phases",
"url": "https://arxiv.org/abs/quant-ph/0406026"
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