Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field

Abstract

We study two-component (or pseudospin-1/2) Bose gases in a strong synthetic magnetic field. Using exact diagonalization, we show that a bosonic analogue of an integer quantum Hall state with no intrinsic topological order appears at the total filling factor ν=1+1 when the strengths of intracomponent and intercomponent interactions are comparable with each other. This provides a prime example of a symmetry-protected topological phase in a controlled setting of quantum gases. The real-space entanglement spectrum of this state is found to be comprised of counter-propagating chiral modes consistent with the edge theory derived from the effective Chern-Simons theory.

8 pages (the main text and the supplemental material), 9 figures. v2: We have added discussions on experimental realization, comments on related works, and new results on pair distribution functions

References in corpus (4)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields

Cited by in corpus (65)

• Symmetry Protected Topological phases of Quantum Matter
• Topological quantum matter with cold atoms
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Twisted and untwisted negativity spectrum of free fermions
• Negativity spectrum of one-dimensional conformal field theories
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Bosonic Integer Quantum Hall effect in an interacting lattice model
• Composite fermi liquids in the lowest Landau level
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Microscopic model for the boson integer quantum Hall effect
• Detecting two dimensional symmetry protected topological order in a ground state wave function
• Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Bosonic integer quantum Hall effect in optical flux lattices
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Stroboscopic Symmetry-Protected Topological Phases
• Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
• From trivial to topological paramagnets: The case of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2^3$ symmetries in two dimensions
• Topological Electromagnetic Responses of Bosonic Quantum Hall, Topological Insulator, and Chiral Semi-Metal phases in All Dimensions
• Correlation effects on topological crystalline insulators
• Quantum Hall phases of two-component bosons
• Two-component quantum Hall effects in topological flat bands
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• 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
• Global phase diagram of two-component Bose gases in antiparallel magnetic fields
• Entanglement Spectrum and Entanglement Hamiltonian of a Chern insulator with open boundaries
• Fractional quantum Hall states with variational Projected Entangled-Pair States: a study of the bosonic Harper-Hofstadter model
• Phase diagrams of Bose-Hubbard model and Haldane-Bose-Hubbard model with complex hopping amplitudes
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Bosonic symmetry protected topological phases with reflection symmetry
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• Bosonic integer quantum Hall effect as topological pumping
• Non-equilibrium topological phase transitions in two-dimensional optical lattices
• Emergent Fermi sea in a system of interacting bosons
• Fractional quantum Hall states of bosons on cones
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Rotational properties of two-component Bose gases in the lowest Landau level
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Symmetry protected topological phases in spin-1 ladders and their phase transitions
• Collective modes of vortex lattices in two-component Bose-Einstein condensates under synthetic gauge fields
• Universality and quantized response in bosonic nonfractionalized tunneling
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Fermionic symmetry-protected topological state in strained graphene
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• A bosonic topological phase in a paired superfluid
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Topological phases of two-component bosons in species-dependent artificial gauge potentials
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Adiabatic Continuity of the Spinful Quantum Hall States
• Perturbative and global anomalies in bosonic analogues of integer quantum Hall and topological insulator phases
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$
• Staircase in magnetization and entanglement entropy of spin squeezed condensates
• Three-component fractional quantum Hall effect in topological flat bands
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement