Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields

Abstract

We study strongly correlated phases of a pseudo-spin-1/2 Bose gas in an artificial gauge field using the exact diagonalization method. The atoms are confined in two dimensions and interact via a two-body contact potential. In Abelian gauge fields, pseudo-spin singlets are favored by pseudo-spin independent interactions. We find a series of incompressible phases at fillings ν=2k/3. By comparison with the non-Abelian spin singlet (NASS) states, constructed as zero-energy eigenstates of a (k+1)-body contact interaction, we classify the non-trivial topology of the states. An additional spin-orbit coupling is shown to switch between NASS-like states and spin-polarized phases from the Read-Rezayi series.

4 pages, 3 figures

References in corpus (5)

• Non-Abelian Anyons and Topological Quantum Computation
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential

Cited by in corpus (6)

• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Two-component quantum Hall effects in topological flat bands
• Emergent Fermi sea in a system of interacting bosons
• Rotational properties of two-component Bose gases in the lowest Landau level
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels