dorsal/arxiv
View SchemaBerry phase in magnetic systems with point perturbations
| Authors | Pavel Exner, Vladimir A. Geyler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911060 |
| URL | https://arxiv.org/abs/quant-ph/9911060 |
| DOI | 10.1016/S0393-0440(00)00020-6 |
| Journal | J. Geom. Phys. 36 (2000), 178-197 |
Abstract
We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state corresponding to an isolated eigenvalue acquires a Berry phase. We derive an expression for it and evaluate it in several examples such as a homogeneous field, a magnetic whisker, a particle confined at a ring or in quantum dots, a parabolic and a zero-range one. We also discuss the behavior of the lowest Landau level in this setting obtaining an explicit example of the Wilczek-Zee phase for an infinitely degenerated eigenvalue.
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"abstract": "We study a two-dimensional charged particle interacting with a magnetic\nfield, in general non-homogeneous, perpendicular to the plane, a confining\npotential, and a point interaction. If the latter moves adiabatically along a\nloop the state corresponding to an isolated eigenvalue acquires a Berry phase.\nWe derive an expression for it and evaluate it in several examples such as a\nhomogeneous field, a magnetic whisker, a particle confined at a ring or in\nquantum dots, a parabolic and a zero-range one. We also discuss the behavior of\nthe lowest Landau level in this setting obtaining an explicit example of the\nWilczek-Zee phase for an infinitely degenerated eigenvalue.",
"arxiv_id": "quant-ph/9911060",
"authors": [
"Pavel Exner",
"Vladimir A. Geyler"
],
"categories": [
"quant-ph",
"cond-mat",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0393-0440(00)00020-6",
"journal_ref": "J. Geom. Phys. 36 (2000), 178-197",
"title": "Berry phase in magnetic systems with point perturbations",
"url": "https://arxiv.org/abs/quant-ph/9911060"
},
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