Creation, Manipulation, and Detection of Abelian and Non-Abelian Anyons in Optical Lattices

M. Aguado, G.K. Brennen, Frank Verstraete, J. Ignacio Cirac

Publications: Contribution to journalArticlePeer Reviewed

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 [A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003)]. 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
Number of pages4
JournalPhysical Review Letters
Volume101
Issue number26
DOIs
Publication statusPublished - 31 Dec 2008

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

Keywords

  • QUANTUM
  • ATOMS

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