Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials

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.

arXiv commentPublished version

References in corpus (26)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Synthetic magnetic fields for ultracold neutral atoms
• Topological orders and Edge excitations in FQH states
• Rapidly Rotating Atomic Gases
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Anyons and the quantum Hall effect - a pedagogical review
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• 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 gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Topological phase transitions in the non-Abelian honeycomb lattice
• Cold atom dynamics in non-Abelian gauge fields
• Jahn-Teller induced Berry phase in spin-orbit coupled Bose-Einstein condensates
• 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 Second Landau-level Half-filled Bilayers: Abelian versus Non-Abelian States
• 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

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• Light-induced gauge fields for ultracold atoms
• Simulating Lattice Gauge Theories within Quantum Technologies
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Spin-Orbit Coupled Quantum Gases
• Spin-Orbit Coupled Bose-Einstein Condensate under Rotation
• Vortices in spin-orbit-coupled Bose-Einstein condensates
• Unconventional states of bosons with synthetic spin-orbit coupling
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Josephson physics of spin-orbit coupled elongated Bose-Einstein condensates
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Emergence of Chiral Magnetism in Spinor Bose-Einstein Condensate with Rashba Coupling
• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Particles in non-Abelian gauge potentials - Landau problem and insertion of non-Abelian flux
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
• Fractional quantum Hall effect in a U(1)xSU(2) gauge field
• Non-Abelian Chern-Simons Theory from a Hubbard-like Model
• U(3) artificial gauge fields for cold atoms
• Robustness of Fractional Quantum Hall States with Dipolar Atoms in Artificial Gauge Fields
• Fractional quantum Hall states of a Bose gas with spin-orbit coupling
• From antiferromagnetic order to magnetic textures in the two dimensional Fermi Hubbard model with synthetic spin orbit interaction
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Fragility of the fractional quantum spin Hall effect in quantum gases
• The Quantum Hall Effect with Wilczek's charged magnetic flux tubes instead of electrons
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Quasimomentum distribution and expansion of an anyonic gas
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Three-dimensional non-Abelian generalizations of the Hofstadter model: spin-orbit-coupled butterfly trios
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Synthetic anyons in noninteracting systems
• The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem
• Superpositions in Atomic Quantum Rings
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• An exactly solvable model for anyons with non-Abelian flux