dorsal/arxiv
View SchemaOn spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases
| Authors | K. Yu. Bliokh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702119 |
| URL | https://arxiv.org/abs/quant-ph/0702119 |
| DOI | 10.1016/j.physleta.2007.07.036 |
| Journal | Phys.Lett.A372:204-209,2008 |
Abstract
We examine both quantum and classical versions of the problem of spin evolution in a slowly varying magnetic field. Main attention is given to the first- and second-order adiabatic corrections in the case of in-plane variations of the magnetic field. While the first-order correction relates to the adiabatic Berry phase and Coriolis-type lateral deflection of the spin, the second-order correction is shown to be responsible for the next-order geometric phase and in-plain deflection. A comparison between different approaches, including the exact (non-adiabatic) geometric phase, is presented.
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"abstract": "We examine both quantum and classical versions of the problem of spin\nevolution in a slowly varying magnetic field. Main attention is given to the\nfirst- and second-order adiabatic corrections in the case of in-plane\nvariations of the magnetic field. While the first-order correction relates to\nthe adiabatic Berry phase and Coriolis-type lateral deflection of the spin, the\nsecond-order correction is shown to be responsible for the next-order geometric\nphase and in-plain deflection. A comparison between different approaches,\nincluding the exact (non-adiabatic) geometric phase, is presented.",
"arxiv_id": "quant-ph/0702119",
"authors": [
"K. Yu. Bliokh"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1016/j.physleta.2007.07.036",
"journal_ref": "Phys.Lett.A372:204-209,2008",
"title": "On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases",
"url": "https://arxiv.org/abs/quant-ph/0702119"
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