Quantum Hall phases of two-component bosons

Abstract

The recent production of synthetic magnetic fields acting on electroneutral particles, like atoms or photons, has boosted the interest in the quantum Hall physics of bosons. Adding pseudospin-1/2 to the bosons greatly enriches the scenario, as it allows them to form an interacting integer quantum Hall (IQH) phase with no fermionic counterpart. Here we show that, for a small two-component Bose gas on a disk, the complete strongly correlated regime, extending from the integer phase at filling factor $\nu =2$ to the Halperin phase at filling factor $\nu =2/3$, is well described by composite fermionization of the bosons. Moreover we study the edge excitations of the IQH state, which, in agreement with expectations from topological field theory, are found to consist of forward-moving charge excitations and backward-moving spin excitations. Finally, we demonstrate how pair-correlation functions allow one to experimentally distinguish the IQH state from competing states, like non-Abelian spin singlet (NASS) states.

4.5 pages, 3 figures

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum fluids of light
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Microscopic model for the boson integer quantum Hall effect
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
• Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized $\nu =2/3$ Fractional Quantum Hall Effect

Cited by in corpus (24)

• Cold bosons in optical lattices: a tutorial for Exact Diagonalization
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Two-component quantum Hall effects in topological flat bands
• SU(N) fractional quantum Hall effects in topological flat bands
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Bosonic integer quantum Hall effect as topological pumping
• Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU($N$) symmetry
• Fractional quantum Hall states of bosons on cones
• Emergent Fermi sea in a system of interacting bosons
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
• Rotational properties of two-component Bose gases in the lowest Landau level
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Universality and quantized response in bosonic nonfractionalized tunneling
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Composite fermion basis for two-component Bose gases
• Topological phases of two-component bosons in species-dependent artificial gauge potentials
• Linear dependencies between Composite Fermion states
• Three-component fractional quantum Hall effect in topological flat bands