title: Non-Abelian braiding of lattice bosons.
abstract: We report on a numerical experiment in which we use time-dependent potentials to braid non-Abelian quasiparticles. We consider lattice bosons in a uniform magnetic field within the fractional quantum Hall regime, where ν, the ratio of particles to flux quanta, is near 1/2, 1, or 3/2. We introduce time-dependent potentials which move quasiparticle excitations around one another, explicitly simulating a braiding operation which could implement part of a gate in a quantum computation. We find that different braids do not commute for ν near 1 and 3/2, with Berry matrices, respectively, consistent with Ising and Fibonacci anyons. Near ν=1/2, the braids commute.
authors.affiliation: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA. ek359@cornell.edu
authors.forename: Eliot
authors.initials: E
authors.lastname: Kapit
authors.forename: Paul
authors.initials: P
authors.lastname: Ginsparg
authors.forename: Erich
authors.initials: E
authors.lastname: Mueller