Non-Abelian braiding of lattice bosons.

摘要: We report on a numerical experiment in which we use time-dependent potentials to braid non-Abelian quasiparticles. consider lattice bosons uniform magnetic field within the fractional quantum Hall regime, where $\ensuremath{\nu}$, ratio of particles flux quanta, is near $1/2$, 1, or $3/2$. introduce move quasiparticle excitations around one another, explicitly simulating braiding operation could implement part gate computation. find that different braids do not commute for $\ensuremath{\nu}$ 1 and $3/2$, with Berry matrices, respectively, consistent Ising Fibonacci anyons. Near $\ensuremath{\nu}=1/2$, commute.