dorsal/arxiv
View SchemaAnyonic Braiding in Optical Lattices
| Authors | Chuanwei Zhang, V. W. Scarola, Sumanta Tewari, S. Das Sarma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609101 |
| URL | https://arxiv.org/abs/quant-ph/0609101 |
| DOI | 10.1073/pnas.0709075104 |
| Journal | Proc. Natl. Acad. Sci. USA 104, 18415 (2007) |
Abstract
Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological quantum computation proposes to use the topological protection and the braiding statistics of a non-Abelian topological state to perform quantum computation. The enormous technological prospect of topological quantum computation provides new motivation for experimentally observing a topological state. Here we explicitly work out a realistic experimental scheme to create and braid the Abelian topological excitations in the Kitaev model built on a tunable robust system, a cold atom optical lattice. We also demonstrate how to detect the key feature of these excitations, their braiding statistics. Observation of this statistics would directly establish the existence of anyons, quantum particles which are neither fermions nor bosons. In addition to establishing topological matter, the experimental scheme we develop here can also be adapted to a non-Abelian topological state, supported by the same Kitaev model but in a different parameter regime, to eventually build topologically protected quantum gates.
{
"annotation_id": "02d9d435-9d41-47a3-b9b3-dcd755c60569",
"date_created": "2026-03-02T18:02:30.144000Z",
"date_modified": "2026-03-02T18:02:30.144000Z",
"file_hash": "69e7aa2333a9882efe4c54ff31c8321950287e3e0b14257f3d24064dd6c4c485",
"private": false,
"record": {
"abstract": "Topological quantum states of matter, both Abelian and non-Abelian, are\ncharacterized by excitations whose wavefunctions undergo non-trivial\nstatistical transformations as one excitation is moved (braided) around\nanother. Topological quantum computation proposes to use the topological\nprotection and the braiding statistics of a non-Abelian topological state to\nperform quantum computation. The enormous technological prospect of topological\nquantum computation provides new motivation for experimentally observing a\ntopological state. Here we explicitly work out a realistic experimental scheme\nto create and braid the Abelian topological excitations in the Kitaev model\nbuilt on a tunable robust system, a cold atom optical lattice. We also\ndemonstrate how to detect the key feature of these excitations, their braiding\nstatistics. Observation of this statistics would directly establish the\nexistence of anyons, quantum particles which are neither fermions nor bosons.\nIn addition to establishing topological matter, the experimental scheme we\ndevelop here can also be adapted to a non-Abelian topological state, supported\nby the same Kitaev model but in a different parameter regime, to eventually\nbuild topologically protected quantum gates.",
"arxiv_id": "quant-ph/0609101",
"authors": [
"Chuanwei Zhang",
"V. W. Scarola",
"Sumanta Tewari",
"S. Das Sarma"
],
"categories": [
"quant-ph",
"cond-mat.other",
"cond-mat.soft"
],
"doi": "10.1073/pnas.0709075104",
"journal_ref": "Proc. Natl. Acad. Sci. USA 104, 18415 (2007)",
"title": "Anyonic Braiding in Optical Lattices",
"url": "https://arxiv.org/abs/quant-ph/0609101"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "512687ea-8dab-405d-aa20-4f8b15ae8c99",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}