Seeing topological order in time-of-flight measurements

Abstract

In this work we provide a general methodology to directly measure topological order in cold atom systems. As an application we propose the realisation of a characteristic topological model, introduced by Haldane, using optical lattices loaded with fermionic atoms in two internal states. We demonstrate that time-of-flight measurements directly reveal the topological order of the system in the form of momentum space skyrmions.

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Nearly-flat bands with nontrivial topology
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Chiral Rashba spin textures in ultra-cold Fermi gases
• Z_2 Topological Insulators in Ultracold Atomic Gases
• Ultracold molecules: vehicles to scalable quantum information processing
• Topological superfluids on a lattice with non-Abelian gauge fields
• Determining topological order from a local ground state correlation function

Cited by in corpus (144)

• Light-induced gauge fields for ultracold atoms
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Topological Bands for Ultracold Atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Non-standard Hubbard models in optical lattices: a review
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Topological quantum matter with cold atoms
• Floquet Fractional Chern Insulator in Doped Graphene
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Measuring topology by dynamics: Chern number from linking number
• Knots and Non-Hermitian Bloch Bands
• Direct imaging of topological edge states in cold-atom systems
• Bloch state tomography using Wilson lines
• Chiral Ladders and the Edges of Chern Insulators
• Topological Euler class as a dynamical observable in optical lattices
• Quantum Quenches in Chern Insulators
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• Floquet Topological States in Shaking Optical Lattices
• Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Quantum Adversarial Machine Learning
• Tomography of band insulators from quench dynamics
• Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
• Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
• Interferometric approach to measuring band topology in 2D optical lattices
• Dissipative preparation of Chern insulators
• Anomalous and Quantum Hall Effects in Lossy Photonic Lattices
• Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
• Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
• Measuring topological invariants in photonic systems
• Dynamical topological invariant after a quantum quench
• Detecting Topological Phases in Cold Atoms
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Measurement of Chern numbers through center-of-mass responses
• Topological Phase Transitions for Interacting Finite Systems
• Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
• Unsupervised machine learning of topological phase transitions from experimental data
• Exceptional Bound States and negative Entanglement Entropy
• Direct measurement of topological invariants in optical lattices
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Hidden-Symmetry-Protected Topological Semimetals on a Square 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 Invariants for Quantum Quench Dynamics from Unitary Evolution
• Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
• Quantum simulation of non-trivial topology
• Probing Atomic Majorana Fermions in Optical Lattices
• Quantum Simulation of a Topological Mott Insulator with Rydberg Atoms in a Lieb Lattice
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• Dynamic Optical Superlattices with Topological Bands
• The Realization and Dectection of Weyl Semimetals and Chiral Anomaly in Cold Atomic Systems
• Journeys from Quantum Optics to Quantum Technology
• Phase spectroscopy of topological invariants in photonic crystals
• Shaping topological properties of the band structures in a shaken optical lattice
• Direct Probe of Topological Order for Cold Atoms
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Three-level Haldane-like model on dice optical lattice
• Line of Dirac monopoles embedded in a Bose-Einstein condensate
• Single-site-resolved measurement of the current statistics in optical lattices
• $p$-wave chiral superfluidity from an $s$-wave interacting atomic Fermi gas
• Corner states of topological fullerenes
• Edge excitations of bosonic fractional quantum Hall phases in optical lattices
• Topology and entanglement in quench dynamics
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Spin-orbit coupling and topological phases for ultracold atoms
• Realising Haldane's vision for a Chern insulator in buckled lattices
• Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
• Floquet engineering topological Dirac bands
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices
• Solitons in one-dimensional lattices with a flat band
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Measuring Hopf links and Hopf invariants in a quenched topological Raman lattice
• Mass and chirality inversion of a Dirac cone pair in Stückelberg interferometry
• Identifying topological edge states in 2D optical lattices using light scattering
• Effects of Berry Curvature on the Collective Modes of Ultracold Gases
• Topological features of Haldane model on a dice lattice: role of flat band on transport properties
• Microscopic characteristics and tomography scheme of the local Chern marker
• Measuring Chern numbers in Hofstadter strips
• Anomalous charge pumping in a one-dimensional optical superlattice
• Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Design of laser-coupled honeycomb optical lattices supporting Chern insulators
• Self-Trapped Polarons and Topological Defects in a Topological Mott Insulator
• Nested-sphere description of the N-level Chern number and the generalized Bloch hypersphere
• Chiral Topological Orders in an Optical Raman Lattice
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Non-Abelian Chern-Simons Theory from a Hubbard-like Model
• Topological phases in small quantum Hall samples
• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Large Chern Number Topological Superfluids in Coupled Layer System
• Topological metal bands with double-triple-point fermions in optical lattices
• Chern Insulator Phase in a Lattice of an Organic Dirac Semimetal with Intracellular Potential and Magnetic Modulations
• A Scaling Behavior of Bloch Oscillation in Weyl Semimetals
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
• Quench dynamics of Hopf insulators
• Generating and detecting topological phases with higher Chern number
• Diffraction catastrophes threaded by quantized vortex skeletons caused by atom-optical aberrations induced in trapped Bose-Einstein condensates
• Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Evidence of spin liquid with hard-core bosons in a square lattice
• Observation of dynamical topology in 1D
• Seeing Hofstadter's Butterfly in Atomic Fermi Gases
• Skyrmion crystals in frustrated Shastry-Sutherland magnets
• Diffusive real-time dynamics of a particle with Berry curvatures
• Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
• Robust Identification of Topological Phase Transition by Self-Supervised Machine Learning Approach
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Efficient algorithm to compute the Berry conductivity
• Winding number order in the Haldane model with interactions
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Determination of Chern numbers with a phase retrieval algorithm
• Topological order in the Haldane model with spin-spin on-site interactions
• Dynamically Characterizing the Structures of Dirac Points via Wave Packets
• Emerging (2+1)D massive graviton in graphene-like systems
• Scale-Invariant Continuous Entanglement Renormalization of a Chern Insulator
• Seeing topological edge and bulk currents in time-of-flight images
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Anomalous Topological Bloch Oscillations under Non-Abelian Gauge Fields
• Devil's staircase of topological Peierls insulators and Peierls supersolids
• Interferometric detection of Chern numbers in topological optical lattices
• Topological phases of monolayer and bilayer depleted Lieb lattices
• Seeing Topological Order and Band Inversion in Optical Diatomic Chain
• Detecting degenerate bands topological invariants in optical lattice
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Phase Transition of Topological Index driven by Dephasing
• Metal-insulator phase transition and topology in a three-component system
• Simulating topological phases and topological phase transitions with classical strings