Topological bands with Chern number C=2 by dipolar exchange interactions

Abstract

We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a deep optical lattice, where the dynamics of rotational excitations follows a hopping Hamiltonian which is determined by the dipolar exchange interactions. We find topological bands with Chern number $C=2$ on the square lattice, while a very rich structure of different topological bands appears on the honeycomb lattice. We show that the system is robust against missing molecules. For certain parameters we obtain flat bands, providing a promising candidate for the realization of hard-core bosonic fractional Chern insulators.

7 pages, 5 figures

References in corpus (54)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• A High Phase-Space-Density Gas of Polar Molecules
• Imaging topological edge states in silicon photonics
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Symmetry protected topological orders and the group cohomology of their symmetry group
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Mott physics and band topology in materials with strong spin-orbit interaction
• Realizing a lattice spin model with polar molecules
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Topological Mott Insulators
• Topological Flat Band Models and Fractional Chern Insulators
• Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach
• Fractional Quantum Hall Physics in Topological Flat Bands
• Single-atom trapping in holographic 2D arrays of microtraps with arbitrary geometries
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Nearly flat band with Chern number C=2 on the dice lattice
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Topological Nematic States and Non-Abelian Lattice Dislocations
• Controlling the hyperfine state of rovibronic ground-state polar molecules
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Realizing Fractional Chern Insulators with Dipolar Spins
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
• Topological semimetal in a fermionic optical lattice
• Topological flat band models with arbitrary Chern numbers
• Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
• Spin-3 Chromium Bose-Einstein Condensates
• Reaching Fractional Quantum Hall States with Optical Flux Lattices
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Einstein--de Haas Effect in Dipolar Bose-Einstein Condensates
• Topological states in two-dimensional optical lattices
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice
• Series of Abelian and Non-Abelian States in C>1 Fractional Chern Insulators
• Spontaneous demagnetization of a dipolar spinor Bose gas at ultra-low magnetic field
• Topological Flat Bands from Dipolar Spin Systems
• Dipolar Relaxation in an ultra-cold Gas of magnetically trapped chromium atoms
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• A two-dimensional lattice of blue detuned atom traps using a projected Gaussian beam array
• Damagnetization cooling of a gas
• Enhancing the stability of a fractional Chern insulator against competing phases
• Spin-orbital dynamics in a system of polar molecules
• Designing Topological Bands in Reciprocal Space
• Resonant demagnetization of a dipolar BEC in a 3D optical lattice
• Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
• Interacting bosons in topological optical flux lattices
• Topological Phenomena in Trapped Ion Systems
• Abelian and non-abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect
• Driving Dipolar Fermions into the Quantum Hall Regime by Spin-Flip Induced Insertion of Angular Momentum

Cited by in corpus (49)

• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Dipolar physics: A review of experiments with magnetic quantum gases
• Long-range interacting quantum systems
• A Fermi Degenerate Gas of Polar Molecules
• Topological Quantum Optics in Two-Dimensional Atomic Arrays
• A concise review of Rydberg atom based quantum computation and quantum simulation
• Non-Markovian Dynamics in Chiral Quantum Networks with Spins and Photons
• Topological properties of a dense atomic lattice gas
• Ultracold Rydberg Molecules
• Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• Topological networks for quantum communication between distant qubits
• Coherent Microwave Control of Ultracold ${}^{23}$Na${}^{40}$K Molecules
• Robust quantum state transfer via topologically protected edge channels in dipolar arrays
• Accurate mapping of multilevel Rydberg atoms on interacting spin-$1/2$ particles for the quantum simulation of Ising models
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Continuous Preparation of a Fractional Chern Insulator
• Floquet engineering to exotic topological phases in systems of cold atoms
• Model Fractional Chern Insulators
• Implementation of Chiral Quantum Optics with Rydberg and Trapped-ion Setups
• Type-II quadrupole topological insulators
• Anisotropic dependence of tune-out wavelength near Dy 741-nm transition
• Probing spin dynamics from the Mott insulating to the superfluid regime in a dipolar lattice gas
• Topologically protected edge states in small Rydberg systems
• Theory of dipole radiation near a Dirac photonic crystal
• Manipulating synthetic gauge fluxes via multicolor dressing of Rydberg-atom arrays
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Floquet Engineering Ultracold Polar Molecules to Simulate Topological Insulators
• Two-body interactions and decay of three-level Rydberg-dressed atoms
• Wave Functions for Fractional Chern Insulators on Disk Geometry
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Generating and detecting topological phases with higher Chern number
• Intrinsic topological magnons in arrays of magnetic dipoles
• The Role of Interspecies Interactions in the Preparation of a Low-entropy Gas of Polar Molecules in a Lattice
• Topological phonons in arrays of ultracold dipolar particles
• Classification and emergence of quantum spin liquids in chiral Rydberg models
• Spin-orbit-coupled Bose-Einstein condensates of rotating polar molecules
• Adiabatic state preparation of stripe phases with strongly magnetic atoms
• Tuning excitation transport in a dissipative Rydberg ring
• Anomalous fractional quantum Hall effect and multi-valued Hamiltonians
• Topological spin models in Rydberg lattices
• Ferroelectric quantum phase transition with cold polar molecules
• Simulation of chiral motion of excitation within the ground-state manifolds of neutral atoms
• Homogeneous Magnetic Flux in Rydberg Lattices
• Coherently delocalized states in dipole interacting Rydberg ensembles: the role of internal degeneracies
• Topological bands in the continuum using Rydberg states
• Topological edge states in dipolar zig-zag stripes
• Higher-order topological quantum paramagnets