The realization of non-Abelian anyons in topological phases is a crucial step toward topological quantum computation. We propose a scheme to realize a non-Abelian quantum spin liquid (QSL) phase in a three-component Bose gas with contact interaction on optical kagome lattices. In the strong coupling regime, the system is described by an effective spin-1 model with two- and three-body interactions between neighboring spins. By mapping out the phase diagram via the variational Monte Carlo method, we find a non-Abelian chiral spin-liquid phase in which the Ising-type anyons obey non-Abelian braiding statistics. The gapless chiral edge states can be detected by measuring the spin-spin correlation from atomic population. Furthermore, an interesting ${Z}_{2}$ QSL phase is observed exhibiting both topological order and lattice symmetry-breaking order. Our scheme can be implemented in cold quantum gases of bosonic atoms.The realization of non-Abelian anyons in topological phases is a crucial step toward topological quantum computation. We propose a scheme to realize a non-Abelian quantum spin liquid (QSL) phase in a three-component Bose gas with contact interaction on optical kagome lattices. In the strong coupling regime, the system is described by an effective spin-1 model with two- and three-body interactions between neighboring spins. By mapping out the phase diagram via the variational Monte Carlo method, we find a non-Abelian chiral spin-liquid phase in which the Ising-type anyons obey non-Abelian braiding statistics. The gapless chiral edge states can be detected by measuring the spin-spin correlation from atomic population. Furthermore, an interesting ${Z}_{2}$ QSL phase is observed exhibiting both topological order and lattice symmetry-breaking order. Our scheme can be implemented in cold quantum gases of bosonic atoms.

arXiv:2308.03509Physical Review ASep 8, 20233 citations

Coupled wire construction of non-Abelian chiral spin liquids

Po-Hao Huang

Jan 1, 20180 citations

{Z}_{2}

QSL phase is observed exhibiting both topological order and lattice symmetry-breaking order. Our scheme can be implemented in cold quantum gases of bosonic atoms.