Creation, manipulation, and detection of abelian and non-abelian anyons in optical lattices

M. Aguado*, G. K. Brennen, F. Verstraete, J. I. Cirac

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    75 Citations (Scopus)
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    Abstract

    Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged. This can be used to perform quantum computations. We show how to simulate the creation and manipulation of Abelian and non-Abelian anyons in topological lattice models using trapped atoms in optical lattices. Our proposal, feasible with present technology, requires an ancilla particle which can undergo single-particle gates, be moved close to each constituent of the lattice and undergo a simple quantum gate, and be detected.

    Original languageEnglish
    Article number260501
    Pages (from-to)1-4
    Number of pages4
    JournalPhysical Review Letters
    Volume101
    Issue number26
    DOIs
    Publication statusPublished - 22 Dec 2008

    Bibliographical note

    M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, Physical review letters, 101, 260501, 2008. Copyright 2008 by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevLett.101.260501

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