Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms

Abstract

We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near-field of an atom-chip, which effectively mimics the effects of spin-orbit coupling and produces quantum spin-Hall states. We also propose a feasible scheme to engineer sharp boundaries where the hallmark edge states are localized. Our multi-band system has a large parameter space exhibiting a variety of quantum phase transitions between topological and normal insulating phases. Due to their remarkable versatility, cold-atom systems are ideally suited to realize topological states of matter and drive the development of topological quantum computing.

4 pages, 4 figures, Accepted in Phys. Rev. Lett. (Nov 2010)

References in corpus (19)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Spin Hall effects for cold atoms in a light induced gauge potential
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Orbital analogue of quantum anomalous Hall effect in $p$-band systems
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Topological aspects of quantum spin Hall effect in graphene: Z${}_2$ topological order and spin Chern number
• Topological Insulators and Metals in Atomic Optical Lattices
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• 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
• Metal-Insulator Transition Revisited for Cold Atoms in Non-Abelian Gauge Potentials
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
• Multi-layer atom chips for versatile atom micro manipulation

Cited by in corpus (67)

• Topological Photonics
• High temperature fractional quantum Hall states
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Non-standard Hubbard models in optical lattices: a review
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Correlation effects in two-dimensional topological insulators
• Direct imaging of topological edge states in cold-atom systems
• Topological orbital ladders
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Adiabatic continuation of Fractional Chern Insulators to Fractional Quantum Hall States
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
• Quantum simulation of non-trivial topology
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Phonon-induced topological insulation
• Topology-induced phase transitions in quantum spin Hall lattices
• Subwavelength-width optical tunnel junctions for ultracold atoms
• Flat bands and nontrivial topological properties in an extended Lieb lattice
• Shaping topological properties of the band structures in a shaken optical lattice
• Chains with loops - synthetic magnetic fluxes and topological order in one-dimensional spin systems
• Effects of spin-orbit coupling on the Berezinskii-Kosterlitz-Thouless transition and the vortex-antivortex structure in two-dimensional Fermi gases
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Spin Susceptibility and Helical Magnetic Orders at the Edges/Surfaces of Topological Insulators Due to Fermi Surface Nesting
• Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Chiral Dynamics of Ultracold Atoms under a Tunable SU(2) Synthetic Gauge Field
• Change of an insulator's topological properties by a Hubbard interaction
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Identifying topological edge states in 2D optical lattices using light scattering
• Controlling Transport of Ultra-Cold Atoms in 1D Optical Lattices with Artificial Gauge Fields
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices
• Kane-Mele-Hubbard model on the $\pi$-flux honeycomb lattice
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Vortices and vortex states in Rashba spin-orbit-coupled condensates
• Floquet topological phases with large winding number
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
• Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
• Superconductivity in a Topological Lattice Model with Strong Repulsion
• Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions
• Second-order topology and supersymmetry in two-dimensional topological insulators
• Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Transversal transport of magnons in a modified Lieb lattice
• Incipient quantum spin Hall insulator under strong correlations
• Spin Excitation Spectra of Spin-Orbit Coupled Bosons in Optical Lattice
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Meissner-Like Currents of Photons in Anomalous Superradiant Phases
• Detecting degenerate bands topological invariants in optical lattice
• Topological Color-Hall Insulators: SU(3) Fermions in Optical Lattices
• Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
• Orbital Optical Raman Lattice
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Collective modes for helical edge state interacting with quantum light