dorsal/arxiv
View SchemaAnyons and transmutation of statistics via vacuum induced Berry phase
| Authors | Roberto M. Serra, Angelo Carollo, Marcelo Franca Santos, Vlatko Vedral |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403222 |
| URL | https://arxiv.org/abs/quant-ph/0403222 |
| DOI | 10.1103/PhysRevA.70.044102 |
| Journal | Phys. Rev. A 70, 044102 (2004) |
Abstract
We show that bosonic fields may present anyonic behavior when interacting with a fermion in a Jaynes-Cummings-like model. The proposal is accomplished via the interaction of a two-level system with two quantized modes of a harmonic oscillator; under suitable conditions, the system acquires a fractional geometric phase. A crucial role is played by the entanglement of the system eigenstates, which provides a two-dimensional confinement in the effective evolution of the system, leading to the anyonic behavior. For a particular choice of parameters, we show that it is possible to transmute the statistics of the system continually from fermions to bosons. We also present an experimental proposal, in an ion-trap setup, in which fractional statistical features can be generated, controlled, and measured.
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"abstract": "We show that bosonic fields may present anyonic behavior when interacting\nwith a fermion in a Jaynes-Cummings-like model. The proposal is accomplished\nvia the interaction of a two-level system with two quantized modes of a\nharmonic oscillator; under suitable conditions, the system acquires a\nfractional geometric phase. A crucial role is played by the entanglement of the\nsystem eigenstates, which provides a two-dimensional confinement in the\neffective evolution of the system, leading to the anyonic behavior. For a\nparticular choice of parameters, we show that it is possible to transmute the\nstatistics of the system continually from fermions to bosons. We also present\nan experimental proposal, in an ion-trap setup, in which fractional statistical\nfeatures can be generated, controlled, and measured.",
"arxiv_id": "quant-ph/0403222",
"authors": [
"Roberto M. Serra",
"Angelo Carollo",
"Marcelo Franca Santos",
"Vlatko Vedral"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.044102",
"journal_ref": "Phys. Rev. A 70, 044102 (2004)",
"title": "Anyons and transmutation of statistics via vacuum induced Berry phase",
"url": "https://arxiv.org/abs/quant-ph/0403222"
},
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