dorsal/arxiv
View SchemaThe Wavefunction of an Anyon
| Authors | Jiannis K. Pachos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605068 |
| URL | https://arxiv.org/abs/quant-ph/0605068 |
| DOI | 10.1016/j.aop.2006.05.007 |
| Journal | AnnalsPhys.322:1254-1264,2007 |
Abstract
We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that corresponds to the translationally invariant case of a vortex-lattice is derived from which the energy of a single pair of vortices can be estimated. The anyonic properties of the vortices are demonstrated and their generation and transportation manipulations are explicitly given. A simple interference experiment with six spins is proposed that can reveal the anyonic statistics of this model.
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"abstract": "We consider a two-dimensional spin system in a honeycomb lattice\nconfiguration that exhibits anyonic and fermionic excitations [Kitaev,\ncond-mat/0506438]. The exact spectrum that corresponds to the translationally\ninvariant case of a vortex-lattice is derived from which the energy of a single\npair of vortices can be estimated. The anyonic properties of the vortices are\ndemonstrated and their generation and transportation manipulations are\nexplicitly given. A simple interference experiment with six spins is proposed\nthat can reveal the anyonic statistics of this model.",
"arxiv_id": "quant-ph/0605068",
"authors": [
"Jiannis K. Pachos"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"hep-th"
],
"doi": "10.1016/j.aop.2006.05.007",
"journal_ref": "AnnalsPhys.322:1254-1264,2007",
"title": "The Wavefunction of an Anyon",
"url": "https://arxiv.org/abs/quant-ph/0605068"
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