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Scheme for Demonstration of Fractional Statistics of Anyons in an Exactly Solvable Model

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  • University of Michigan
  • Perimeter Institute for Theoretical Physics

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Original languageEnglish
Article number150404
JournalPhysical Review Letters
Volume98
Issue number15
Publication statusPublished - 12 Apr 2007
Externally publishedYes

Abstract

We propose a scheme to demonstrate fractional statistics of anyons in an exactly solvable lattice model proposed by Kitaev that involves four-body interactions. The required many-body ground state, as well as the anyon excitations and their braiding operations, can be conveniently realized through dynamic laser manipulation of cold atoms in an optical lattice. Because of the perfect localization of anyons in this model, we show that a quantum circuit with only six qubits is enough for demonstration of the basic braiding statistics of anyons. This opens up the immediate possibility of proof-of-principle experiments with trapped ions, photons, or nuclear magnetic resonance systems.

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Cite this

Scheme for Demonstration of Fractional Statistics of Anyons in an Exactly Solvable Model. / Han, Y. J.; Raussendorf, R.; Duan, L. M.
In: Physical Review Letters, Vol. 98, No. 15, 150404, 12.04.2007.

Research output: Contribution to journalArticleResearchpeer review

Han YJ, Raussendorf R, Duan LM. Scheme for Demonstration of Fractional Statistics of Anyons in an Exactly Solvable Model. Physical Review Letters. 2007 Apr 12;98(15):150404. doi: 10.48550/arXiv.quant-ph/0702031, 10.1103/PhysRevLett.98.150404
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