Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
arXiv:1006.0453 · doi:10.1103/PhysRevLett.105.125304
Abstract
We show that non-abelian potentials acting on ultracold gases with two hyperfine levels can give rise to ground states with non-abelian excitations. We consider a realistic gauge potential for which the Landau levels can be exactly determined: the non-abelian part of the vector potential makes the Landau levels non-degenerate. In the presence of strong repulsive interactions, deformed Laughlin ground states occur in general. However, at the degeneracy points of the Landau levels, non-abelian quantum Hall states appear: these ground states, including deformed Moore-Read states (characterized by Ising anyons as quasi-holes), are studied for both fermionic and bosonic gases.
Published version
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Anyons and the quantum Hall effect - a pedagogical review
- Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
- Generalized Rashba spin-orbit coupling for cold atoms
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
- Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
- Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
- Cold atom dynamics in non-Abelian gauge fields
- Metal-Insulator Transition Revisited for Cold Atoms in Non-Abelian Gauge Potentials
- Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
- Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
- Landau levels of cold atoms in non-Abelian gauge fields
- The effects of optically induced non-Abelian gauge field in cold atoms
- Ultimate braid-group generators for coordinate exchanges of Ising anyons from the multi-anyon Pfaffian wave functions