dorsal/arxiv
View SchemaMagnetic translation and Berry's phase factor through adiabatically rotating a magnetic field
| Authors | J. Chee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103052 |
| URL | https://arxiv.org/abs/quant-ph/0103052 |
| DOI | 10.1016/S0375-9601(00)00624-1 |
| Journal | Physics Letters A 275 (2000) 473-480 |
Abstract
For a spin subjected to an adiabatically changing magnetic field, the solid angle result as embodied by a rotation operator is the only path-dependent factor in the quantum evolution operator. For a charged particle, the infinite degeneracy calls for a rigorous investigation. We find that in this case, it is the product of the rotation operator and a path-ordered magnetic translation operator that enters into the evolution operator and determines the geometric phase. This result agrees with the fact that the instantaneous hamiltonian is invariant under magnetic translation as well as rotation. Experimental verification of the result is proposed.
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"abstract": "For a spin subjected to an adiabatically changing magnetic field, the solid\nangle result as embodied by a rotation operator is the only path-dependent\nfactor in the quantum evolution operator. For a charged particle, the infinite\ndegeneracy calls for a rigorous investigation. We find that in this case, it is\nthe product of the rotation operator and a path-ordered magnetic translation\noperator that enters into the evolution operator and determines the geometric\nphase. This result agrees with the fact that the instantaneous hamiltonian is\ninvariant under magnetic translation as well as rotation. Experimental\nverification of the result is proposed.",
"arxiv_id": "quant-ph/0103052",
"authors": [
"J. Chee"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(00)00624-1",
"journal_ref": "Physics Letters A 275 (2000) 473-480",
"title": "Magnetic translation and Berry\u0027s phase factor through adiabatically rotating a magnetic field",
"url": "https://arxiv.org/abs/quant-ph/0103052"
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