Topological Quantum Matter with Ultracold Gases in Optical Lattices

Abstract

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both fascinating physics and exciting opportunities for devices. And although new materials are being developed and explored all the time, the prospects for probing exotic topological phases would be greatly enhanced if they could be realized in systems that were easily tuned. The flexibility offered by ultracold atoms could provide such a platform. Here, we review the tools available for creating topological states using ultracold atoms in optical lattices, give an overview of the theoretical and experimental advances and provide an outlook towards realizing strongly correlated topological phases.

arXiv comment10 pages, 4 figures. Author-produced version of a Progress Article published in Nature Physics

References in corpus (103)

• Topological Insulators
• Topological insulators and superconductors
• Many-Body Physics with Ultracold Gases
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Berry Phase Effects on Electronic Properties
• Unpaired Majorana fermions in quantum wires
• Feshbach Resonances in Ultracold Gases
• Cold bosonic atoms in optical lattices
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Experimental realisation of the topological Haldane model
• Artificial gauge potentials for neutral atoms
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Floquet Topological Insulator in Semiconductor Quantum Wells
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Topological characterization of periodically-driven quantum systems
• Light-induced gauge fields for ultracold atoms
• Measuring entanglement entropy through the interference of quantum many-body twins
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Spin-orbit coupling in quantum gases
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Single-Spin Addressing in an Atomic Mott Insulator
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Rapidly Rotating Atomic Gases
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Synthetic gauge fields in synthetic dimensions
• Topology by Dissipation in Atomic Quantum Wires
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Topological Flat Band Models and Fractional Chern Insulators
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Floquet topological insulators
• Fractional quantum Hall states of atoms in optical Lattices
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Experimental realization of a two-dimensional synthetic spin-orbit coupling in ultracold Fermi gases
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• $p_x+i{p}_y$ superfluid from s-wave interactions of fermionic cold atoms
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Gauge fields for ultracold atoms in optical superlattices
• Fractional Quantum Hall Effect in Optical Lattices
• Quantum Computation Using Vortices and Majorana Zero Modes of a $p_x$ + $i{p}_y$ Superfluid of Fermionic Cold Atoms
• Topology by dissipation
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• Seeing topological order in time-of-flight measurements
• Topological semimetal in a fermionic optical lattice
• Designing Frustrated Quantum Magnets with Laser-Dressed Rydberg Atoms
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
• Slow light in degenerate Fermi gases
• Direct imaging of topological edge states in cold-atom systems
• Optical Flux Lattices for Ultracold Atomic Gases
• Reaching Fractional Quantum Hall States with Optical Flux Lattices
• Weyl points in three-dimensional optical lattices: synthetic magnetic monopoles in momentum space
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Creating artificial magnetic fields for cold atoms by photon-assisted tunneling
• Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Floquet Topological States in Shaking Optical Lattices
• High field fractional quantum Hall effect in optical lattices
• Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
• Tomography of band insulators from quench dynamics
• Topological states in two-dimensional optical lattices
• Analog of photon-assisted tunneling in a Bose-Einstein condensate
• Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Topology of density matrices
• Geometrical pumping with a Bose-Einstein condensate
• Dissipative preparation of Chern insulators
• Quantum Anomalous Hall Effect with Cold Atoms Trapped in a Square Lattice
• Topological Flat Bands from Dipolar Spin Systems
• Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number
• Fractional quantum Hall states in lattices: Local models and physical implementation
• Majorana edge states in two atomic wires coupled by pair-hopping
• Majorana Modes in Driven-Dissipative Atomic Superfluids With Zero Chern Number
• Detecting Topological Phases in Cold Atoms
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
• Magnetic crystals and helical liquids in alkaline-earth fermionic gases
• Measurement of Chern numbers through center-of-mass responses
• Floquet Edge States with Ultracold Atoms
• Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
• Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
• Who is the Lord of the Rings: Majorana, Dirac or Lifshitz? The Spin-Orbit-Zeeman Saga in Ultra-cold Fermions
• Single-site- and single-atom-resolved measurement of correlation functions
• Realizing one-dimensional topological superfluids with ultracold atomic gases
• Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
• Creating p-wave superfluids and topological excitations in optical lattices

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• Topological Photonics
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topolectrical circuits
• Second-Order Topological Phases in Non-Hermitian Systems
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Topological phase transition in non-Hermitian quasicrystals
• Tools for quantum simulation with ultracold atoms in optical lattices
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Non-Hermitian Topological Sensors
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Observation of the topological Anderson insulator in disordered atomic wires
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Topological photonic crystals: physics, designs and applications
• Topological quantum matter with cold atoms
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Higher-order topological corner states induced by gain and loss
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Artificial gauge fields in materials and engineered systems
• Topological Origin of Equatorial Waves
• Quantum Gases in Optical Boxes
• Anomalous helical edge states in a non-Hermitian Chern insulator
• Direct observation of chiral currents and magnetic reflection in atomic flux lattices
• Topological characterization of chiral models through their long time dynamics
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Two-terminal transport measurements with cold atoms
• Observation of strong and tunable light-induced dipole-dipole interactions between optically levitated nanoparticles
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Non-Hermitian Topological Anderson Insulators
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system
• Observation of topological magnon insulator states in a superconducting circuit
• Hall Conductance of a Non-Hermitian Chern Insulator
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• A perspective on topological nanophotonics: current status and future challenges
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Probing topology by "heating": Quantized circular dichroism in ultracold atoms
• Topological properties of a dense atomic lattice gas
• 4D spinless topological insulator in a periodic electric circuit
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Synthetic gauge field in a single optomechanical resonator
• Dynamical topological invariant after a quantum quench
• Measurement-induced steering of quantum systems
• Many-body topological invariants from randomized measurements
• The 6D quantum Hall effect and 3D topological pumps
• Tuning the Berry curvature in 2D Perovskite
• Acoustic Möbius insulators from projective symmetry
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• Topological dislocation modes in three-dimensional acoustic topological insulators
• Review: Quantum Metrology and Sensing with Many-Body Systems
• High-Harmonic Generation in a Correlated Electron System
• Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
• 'Free-Space' Photonic Quantum Link and Chiral Quantum Optics
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Nano-Scale `Dark State' Optical Potentials for Cold Atoms
• Multi-particle Wannier states and Thouless pumping of interacting bosons
• Semi-synthetic zigzag optical lattice for ultracold bosons
• Robust quantum state transfer via topologically protected edge channels in dipolar arrays
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Quantum time reflection and refraction of ultracold atoms
• Light-matter interactions in synthetic magnetic fields: Landau-photon polaritons
• Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
• Measuring the Quantum Geometric Tensor in 2D Photonic and Polaritonic Systems
• Topological Marker Currents in Chern Insulators
• Measuring the winding number in a large-scale chiral quantum walk
• Detecting fractional Chern insulators through circular dichroism
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Zeno Hall Effect
• Parametric Instability Rates in Periodically-Driven Band Systems
• Quantum Variational Learning of the Entanglement Hamiltonian
• Classification of phases for mixed states via fast dissipative evolution
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Nonreciprocal transport based on cavity Floquet modes in optomechanics
• Symmetry protected topological phases characterized by isolated exceptional points
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
• Nonlinear dynamics of Aharonov-Bohm cages
• Topological Phase Transition Independent of System Non-Hermiticity
• Topological photonic states in one-dimensional dimerized ultracold atomic chains
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
• Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number $|C|>1$
• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
• A quantum annealer with fully programmable all-to-all coupling via Floquet engineering
• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Order parameter and detection for crystallized dipolar bosons in lattices
• Topological quantum critical points in the extended Bose-Hubbard model
• Electric circuit simulations of $n$th-Chern insulators in $2n$-dimensional space and their non-Hermitian generalizations for arbitral $n$
• Driving protocol for a Floquet topological phase without static counterpart
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Hybrid exceptional point created from type III Dirac point
• Replica resummation of the Baker-Campbell-Hausdorff series
• Topological Field Theory far from Equilibrium
• Machine learning topological phases in real space
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Topological energy conversion through bulk or boundary of driven systems
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
• Probing bulk topological invariants using leaky photonic lattices
• Helical Floquet Channels in 1D Lattices
• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• Tensor Berry connections and their topological invariants
• Digital Simulation of Topological Matter on Programmable Quantum Processors
• Non-Abelian Bloch oscillations in higher-order topological insulators
• Observation of Universal Hall Response in Strongly Interacting Fermions
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
• Cavity-mediated unconventional pairing in ultracold fermionic atoms
• Dropping an impurity into a Chern insulator: a polaron view on topological matter
• Interaction-induced topological properties of two bosons in flat-band systems
• Spin current generation and relaxation in a quenched spin-orbit-coupled Bose-Einstein condensate
• Measurement of spin Chern numbers in quantum simulated topological insulators
• Periodically Driven Array of Single Rydberg Atoms
• Inversion symmetric non-Hermitian Chern insulator
• Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Realizing Hopf Insulators in Dipolar Spin Systems
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Topological phase transition measured in a dissipative metamaterial
• Measuring topological invariants in polaritonic graphene
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Topological edge states for disordered bosonic systems
• Topological spin excitations in Harper-Heisenberg spin chains
• Driven Dissipative Majorana Dark Spaces
• Dynamical solitons and boson fractionalization in cold-atom topological insulators
• Robustness of symmetry-protected topological states against time-periodic perturbations
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• Quantum dynamics of bosons in a two-ring ladder: dynamical algebra, vortex-like excitations and currents
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• Universal Hall Response in Synthetic Dimensions
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• Controlling Exceptional Points with Light
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• Observation of topological links associated with Hopf insulators in a solid-state quantum simulator
• Observation of topological Bloch-state defects and their merging transition
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• Topological features of ground states and topological solitons in generalized Su-Schrieffer-Heeger models using generalized time-reversal, particle-hole, and chiral symmetries
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• Floquet engineering of individual band gaps in an optical lattice using a two-tone drive
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• Floquet Scattering Theory based on Effective Hamiltonians of Driven Systems
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• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
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• Topological edge state engineering with high-frequency electromagnetic radiation
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• Interacting topological frequency converter
• Engineering two-qubit mixed states with weak measurements
• Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic $t-J$ model
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• Dynamically characterizing topological phases by high-order topological charges
• Ergodic Edge Modes in the 4D Quantum Hall Effect
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Realising Type II Weyl Points in an Optical Lattice
• Effects of Disorder On Thouless Pumping In Higher-Order Topological Insulators
• Visualizing higher-fold topology in chiral crystals
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• Quantum state engineering by steering in the presence of errors
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Synthetic Hall ladder with tunable magnetic flux
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Non-Abelian quantum geometric tensor in degenerate topological semimetals
• Exotic pairing symmetry of interacting Dirac fermions on a $\pi$ flux lattice
• Dynamical Pruning of the Non-Equilibrium Quantum Dynamics of Trapped Ultracold Bosons
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Robust and Ultrafast State Preparation by Ramping Artificial Gauge Potentials
• Jet Sub-structure in Fireworks Emission from Non-uniform and Rotating Bose-Einstein Condensates
• Topological Protection and Control of Quantum Markovianity
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Weyl singularities in polaritonic multi-terminal Josephson junctions
• Engineering Higgs dynamics by spectral singularities
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Imaginary gap-closed points and dynamics in a class of dissipative systems
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Spectroscopic determination of magnetic-field-dependent interactions in an ultracold Yb(3P2)-Li mixture
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Experimental realization of a high precision tunable hexagonal optical lattice
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• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Feasible model for photo-induced interband pairing
• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Correlation-Assisted Quantized Charge Pumping
• Dynamical Equilibration of Topological Properties
• Divergence of the Floquet-Magnus expansion in a periodically driven one-body system with energy localization
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Emergent bosons in the fermionic two-leg flux ladder
• Quantized Topological Response in Trapped Quantum Gases
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Delocalization of edge states in topological phases
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Topological nodal chains in optical lattices
• Topological quantum pump of strongly interacting fermions in coupled chains
• Observing a topological phase transition with deep neural networks from experimental images of ultracold atoms
• Binary Bose-Einstein condensates in a disordered time-dependent potential
• Non-Hermitian semi-Dirac semi-metals
• Interaction-Induced Second-Order Skin Effect
• Chiral topological phases in optical lattices without synthetic fields
• Quantum phases of two-component bosons on the Harper-Hofstadter ladder
• Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
• Topological phonons in arrays of ultracold dipolar particles
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Many-body delocalization with random vector potentials
• Artificial Magnetic Field Quenches in Synthetic Dimensions
• Quantum state preparation of topological chiral spin liquids via Floquet engineering
• Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
• Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Bosonic Gaussian states from conformal field theory
• Strong quenches in the one-dimensional Fermi-Hubbard model
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• ${\mathbb{Z}}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
• Floquet states of Valley-Polarized Metal with One-way Spin or Charge Transport in Zigzag Nanoribbons
• Exact Topological Flat Bands from Continuum Landau Levels
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Effects of Boundary on Orbital Magnetization for a Bilayer System with Different Chern Numbers
• Energy polarization and energy pumping in Rice-Mele chains
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Tunability of Spin-Dependent Secondary Topological Interface States Induced in an Optical Complex Superlattice
• Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap
• Relative homotopy approach to topological phases in quantum walks
• Robust Identification of Topological Phase Transition by Self-Supervised Machine Learning Approach
• Nonlinear Hall effects with an exceptional ring
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• A topological current divider
• Second Euler number in four dimensional synthetic matter
• Continuum damping of topologically-protected edge modes at the boundary of a magnetized plasma
• Topological phase transition in the periodically forced Kuramoto model
• Synthetic Hall tube of interacting fermions
• Floquet Flux Attachment in Cold Atomic Systems
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Topological bulk states and their currents
• Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
• Topological optical Raman superlattices
• Entangled Cloning of Stabilizer Codes and Free Fermions
• Asymmetric Conductivity of the Kondo Effect in Cold Atomic Systems
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Solid-state magnetic traps and lattices
• Enhanced Directional Quantum Emission by Tunable Topological Doubly-Resonant Cavities
• Determination of Chern numbers with a phase retrieval algorithm
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Topological self-organization of strongly interacting particles
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Topological order in the Haldane model with spin-spin on-site interactions
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Topological lattice using multi-frequency radiation
• Orbital Magnetization under an Electric Field and Orbital Magnetoelectric Polarizabilty for a Bilayer Chern System
• Spectroscopy and topological properties of a Haldane light system
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Boiling Quantum Vacuum: Thermal Subsystems from Ground-State Entanglement
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice
• Floquet analysis of time-averaged trapping potentials
• Generalized Aubry-Andre-Harper Models in Optical Superlattices
• Topologically protected quantization of work
• Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Ferromagnetism and Skyrmions in the Hofstadter-Fermi-Hubbard Model
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice
• Hubbard models with arbitrary structures in programmable optical lattices
• Chiral topological states in Bose-Fermi mixtures
• Monolayer transition metal dichalcogenides under finite-pulse polarized radiation
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Topological Quantum Phase Transition from Fermionic Integer Quantum Hall Phase to Bosonic Fractional Quantum Hall Phase through P-Wave Feshbach Resonance
• Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
• Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
• Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
• Topologically protected negative entanglement
• Seeing topological edge and bulk currents in time-of-flight images
• Topological Sensing in the Dynamics of Quantum Walks with Defects
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• The ${\mathbb{Z}}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
• Harmonic generation in bent graphene with artificially-enhanced spin-orbit coupling
• Transport through Quantum Anomalous Hall Bilayers with Lattice Mismatch
• Thermometry for Laughlin States of Ultracold Atoms
• Floquet dynamical chiral spin liquid at finite frequency
• Dynamical signatures of symmetry protected topology following symmetry breaking
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Topology in the space-time scaling limit of quantum dynamics
• Phase space curvature in spin-orbit coupled ultracold atom systems
• Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
• Adiabatic charge transport through non-Bloch bands
• High phase space density loading of a falling magnetic trap
• Bosonic Quantum Dynamics Following Colliding Potential Wells
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Non-Hermitian Aharonov-Bohm Cage
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Statistical physics of flux-carrying Brownian particles
• Floquet Schrieffer-Wolff transform based on Sylvester equations
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains
• Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• Simulating a Topological Transition in a Superconducting Phase Qubit by Fast Adiabatic Trajectories
• New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter
• openMMF: a library for multimode driven quantum systems
• Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
• Bloch oscillations in supersolids
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Recent progress on disorder-induced topological phases
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Emergence of caustics in dynamics of the Kitaev model
• Generation of Half-Integer Harmonics and Efficient THz-to-Visible Frequency Conversion in Strained Graphene
• Analytical solutions of topological surface states in a series of lattice models
• Topologically nontrivial multicritical points
• Entanglement entropy as a probe of topological phase transitions
• Metal-insulator phase transition and topology in a three-component system
• Higher-order topological quantum paramagnets
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature
• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Three-nodal surface phonons in solid-state materials: Theory and material realization
• Tunable multi-magnon Floquet topological edge states
• Nonlinear optical response of Type-II Weyl fermions in two dimensions
• Direct reconstruction of the band structure of a 1D optical lattice with thermal atoms
• Giant synthetic gauge field for spinless microcavity polaritons in crossed electric and magnetic fields
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Quantum States and Spectra of Small Cylindrical and Toroidal Lattices
• Quantum Hall correlations in tilted extended Bose-Hubbard chains
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Ultracold atomic lattice systems for simulating topological phases: A review
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Optical control of electrons in a Floquet topological insulator
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Feedback cooling of fermionic atoms in optical lattices