Direct imaging of topological edge states in cold-atom systems
arXiv:1212.5093 · doi:10.1073/pnas.1300170110
Abstract
Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological insulators and quantum Hall devices. In quantum Hall systems, the quantized conductivity and the associated robust propagating edge modes - guaranteed by the existence of non-trivial topological invariants - have been observed through transport and spectroscopy measurements. Here, we show that optical-lattice-based experiments can be tailored to directly visualize the propagation of topological edge modes. Our method is rooted in the unique capability for initially shaping the atomic gas, and imaging its time-evolution after suddenly removing the shaping potentials. Our scheme, applicable to an assortment of atomic topological phases, provides a method for imaging the dynamics of topological edge modes, directly revealing their angular velocity and spin structure.
13 pages, 16 figures, including appendices. Revised and extended version, to appear in PNAS
References in corpus (32)
- Topological Insulators
- Topological insulators and superconductors
- Artificial gauge potentials for neutral atoms
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Bose-Einstein condensation of atoms in a uniform potential
- An Electronic Mach-Zehnder Interferometer
- Single-Spin Addressing in an Atomic Mott Insulator
- Rapidly Rotating Atomic Gases
- Fractional quantum Hall states of atoms in optical Lattices
- Disordered quantum gases under control
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Conduction of Ultracold Fermions Through a Mesoscopic Channel
- Gauge fields for ultracold atoms in optical superlattices
- Bose Einstein Condensate in a Box
- Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
- Seeing topological order in time-of-flight measurements
- Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
- Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Topological states in two-dimensional optical lattices
- Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
- Z_2 Topological Insulators in Ultracold Atomic Gases
- Chern numbers hiding in time-of-flight images
- 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
- Probing Atomic Majorana Fermions in Optical Lattices
- Edge Transport in 2D Cold Atom Optical Lattices
- Use of quantum quenches to probe the equilibrium current patterns of ultracold atoms in an optical lattice
- Identifying topological edge states in 2D optical lattices using light scattering
- Quasihole dynamics as a detection tool for quantum Hall phases
Cited by in corpus (132)
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Quantum many-body systems out of equilibrium
- Topological Bands for Ultracold Atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Synthetic gauge fields in synthetic dimensions
- Realization of an anomalous Floquet topological system with ultracold atoms
- Topological quantum matter with cold atoms
- Chiral Ladders and the Edges of Chern Insulators
- Quantum simulation of 2d topological physics using orbital-angular-momentum-carrying photons in a 1d array of cavities
- Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
- Quantum transport in ultracold atoms
- Quantum Quenches in Chern Insulators
- Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
- Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
- Tomography of band insulators from quench dynamics
- Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
- Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
- Incident Direction Independent Wave Propagation and Unidirectional Lasing
- Counter-propagating edge modes and topological phases of a kicked quantum Hall system
- Measuring topological invariants from generalized edge states in polaritonic quasicrystals
- Detecting Topological Phases in Cold Atoms
- Topological Effects in Chiral Symmetric Driven Systems
- Measurement of Chern numbers through center-of-mass responses
- Floquet Edge States with Ultracold Atoms
- Floquet topological phases in a spin-1/2 double kicked rotor
- Zak phase of photons in optical waveguide lattices
- Vector Topological Edge Solitons in Floquet Insulators
- Detecting fractional Chern insulators through circular dichroism
- Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
- Quantum simulation of non-trivial topology
- Observing Properties of an Interacting Homogeneous Bose--Einstein Condensate: Heisenberg-Limited Momentum Spread, Interaction Energy and Free-Expansion Dynamics
- Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
- Topological dipole Floquet solitons
- Subwavelength-width optical tunnel junctions for ultracold atoms
- Dynamic Optical Superlattices with Topological Bands
- Driving protocol for a Floquet topological phase without static counterpart
- Topological two-body bound states in the interacting Haldane model
- Direct Probe of Topological Order for Cold Atoms
- Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
- Theoretical Prediction of Non-Hermitian Skin Effect in Ultracold Atom Systems
- Majoranas in Noisy Kitaev Wires
- Real-space detection and manipulation of topological edge modes with ultracold atoms
- Dynamically generated flat-band phases in optical kagome lattices
- gauge theories coupled to topological fermions: QED with a quantum-mechanical angle
- Single-site-resolved measurement of the current statistics in optical lattices
- Breakdown of Diffusion on the Edge
- Charge excitation dynamics in bosonic fractional Chern insulators
- Interacting Hofstadter Interface
- Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
- Realizing and detecting a topological insulator in the AIII symmetry class
- Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
- Exact edge, bulk and bound states of finite topological systems
- Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
- Mass and chirality inversion of a Dirac cone pair in Stückelberg interferometry
- Topology, edge states, and zero-energy states of ultracold atoms in 1D optical superlattices with alternating onsite potentials or hopping coefficients
- Identifying topological edge states in 2D optical lattices using light scattering
- Chiral d-wave superfluid in periodically driven lattices
- Edge Excitations in Fractional Chern Insulators
- Topological edge states in two-gap unitary systems: A transfer matrix approach
- Anomalous charge pumping in a one-dimensional optical superlattice
- Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
- Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
- Dynamical quantum phase transitions in Weyl semimetals
- Dissipative Boundary State Preparation
- Chiral Luttinger liquids and a generalized Luttinger's theorem in fractional quantum Hall edges via finite-entanglement scaling
- Valley Hall edge solitons in a photonic graphene
- Topological inheritance in half-SSH Hubbard models
- Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
- Design of laser-coupled honeycomb optical lattices supporting Chern insulators
- Observation of nonlinearity-controlled switching of topological edge states
- Floquet Edge Multicolor Solitons
- Time-reversal invariant topological superfluids in Bose-Fermi mixtures
- Gauge matters: Observing the vortex-nucleation transition in a Bose condensate
- Weyl solitons in three-dimensional optical lattices
- Polaritonic Quantum Matter
- Realizing a symmetry protected topological phase through dimerized interactions
- Topological phases in small quantum Hall samples
- Probing topological phases in waveguide superlattices
- Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
- Non-Abelian Chern-Simons Theory from a Hubbard-like Model
- Quantum particle in a parabolic lattice in the presence of a gauge field
- Topological States with Broken Translational and Time-Reversal Symmetries in a Honeycomb-Triangular Lattice
- Anderson Localization and Quantum Hall Effect: Numerical Observation of Two Parameter Scaling
- Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
- Topological phase transition in the quench dynamics of a one-dimensional Fermi gas
- Wavefront dislocations reveal the topology of quasi-1D photonic insulators
- Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
- Local Chern marker of smoothly confined Hofstadter fermions
- Anisotropic Quantum Hall Droplets
- Quantum probing topological phase transitions by non-Markovianity
- Spin liquid phases of alkaline-earth-metal atoms at finite temperature
- Chiral polaron formation on the edge of topological quantum matter
- Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
- Delocalization of edge states in topological phases
- Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
- Chiral orbital order of interacting bosons without higher bands
- Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
- Real-space effects of a quench in the Su-Schrieffer-Heeger model and elusive dynamical appearance of the topological edge states
- Chiral topological phases in optical lattices without synthetic fields
- Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
- Seeing Hofstadter's Butterfly in Atomic Fermi Gases
- Floquet topological insulators with hybrid edges
- Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
- Protocols for dynamically probing topological edge states and dimerization with fermionic atoms in optical potentials
- Wavepacket dynamics on Chern band lattices in a trap
- Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
- Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling
- Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
- Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
- Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
- Artificial Magnetic Field Quenches in Synthetic Dimensions
- Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields
- Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
- Efficient algorithm to compute the Berry conductivity
- Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
- High Chern number topological superfluids and new class of topological phase transitions of Rashba spin-orbit coupled fermions on a lattice
- Edge-state influence on high-order harmonic generation in topological nanoribbons
- Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
- Dynamics of Anderson localization in disordered wires
- Generalized Aubry-Andre-Harper Models in Optical Superlattices
- Chiral states around a mass-inverted quantum dot in graphene
- Equilibrium angular momentum and edge current in Bose-condensed cold atom systems with k-space Berry curvature
- Sound in a system of chiral one-dimensional fermions
- Polariton Topological Insulators with Disclinations
- Few-particle dynamics of fractional quantum Hall lattice models
- Topological phases of two-component bosons in species-dependent artificial gauge potentials
- Landau-Stark states and edge-induced Bloch oscillations in topological lattices
- Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
- Bulk-edge coulping induced by a moving impurity
- Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
- Interferometric detection of Chern numbers in topological optical lattices
- Exceptional light propagation via generalized bulk-edge correspondence