Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices

Abstract

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 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 Z2 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.

7+3 pages, 5+1 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Entanglement entropy of critical spin liquids
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Simplex valence-bond crystal in the spin-1 kagome Heisenberg antiferromagnet
• A two-dimensional programmable tweezer array of fermions
• Projected BCS states and spin Hamiltonians for the SO(n)_1 Wess-Zumino-Witten model
• Fermionic theory for quantum antiferromagnets with spin S > 1/2
• Antiferromagnetic spinor condensates in a two-dimensional optical lattice
• Gauge-theoretic origin of Rydberg quantum spin liquids

Cited by in corpus (2)

• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices