dorsal/arxiv
View SchemaVector Potential and Berry phase-induced Force
| Authors | Qi Zhang, Biao Wu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603073 |
| URL | https://arxiv.org/abs/quant-ph/0603073 |
| DOI | 10.1103/PhysRevLett.97.190401 |
| Journal | Phys. Rev. Lett. 97, 190401 (2006) |
Abstract
We present a general theoretical framework for the exact treatment of a hybrid system that is composed of a quantum subsystem and a classical subsystem. When the quantum subsystem is dynamically fast and the classical subsystem is slow, a vector potential is generated with a simple canonical transformation. This vector potential, on one hand, gives rise to the familiar Berry phase in the fast quantum dynamics; on the other hand, it yields a Lorentz-like force in the slow classical dynamics. In this way, the pure phase (Berry phase) of a wavefunction is linked to a physical force.
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"abstract": "We present a general theoretical framework for the exact treatment of a\nhybrid system that is composed of a quantum subsystem and a classical\nsubsystem. When the quantum subsystem is dynamically fast and the classical\nsubsystem is slow, a vector potential is generated with a simple canonical\ntransformation. This vector potential, on one hand, gives rise to the familiar\nBerry phase in the fast quantum dynamics; on the other hand, it yields a\nLorentz-like force in the slow classical dynamics. In this way, the pure phase\n(Berry phase) of a wavefunction is linked to a physical force.",
"arxiv_id": "quant-ph/0603073",
"authors": [
"Qi Zhang",
"Biao Wu"
],
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"quant-ph",
"cond-mat.other"
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"doi": "10.1103/PhysRevLett.97.190401",
"journal_ref": "Phys. Rev. Lett. 97, 190401 (2006)",
"title": "Vector Potential and Berry phase-induced Force",
"url": "https://arxiv.org/abs/quant-ph/0603073"
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