Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices

Abstract

We demonstrate the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms. Using laser-assisted tunneling in a tilted optical potential we engineer spatially dependent complex tunneling amplitudes. Thereby atoms hopping in the lattice accumulate a phase shift equivalent to the Aharonov-Bohm phase of charged particles in a magnetic field. We determine the local distribution of fluxes through the observation of cyclotron orbits of the atoms on lattice plaquettes, showing that the system is described by the Hofstadter model. Furthermore, we show that for two atomic spin states with opposite magnetic moments, our system naturally realizes the time-reversal symmetric Hamiltonian underlying the quantum spin Hall effect, i.e., two different spin components experience opposite directions of the magnetic field.

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• Rapidly Rotating Atomic Gases
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Direct Observation of Second Order Atom Tunnelling
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• Exploring topological double-Weyl semimetals with cold atoms in optical lattices
• Quantum walks in synthetic gauge fields with 3D integrated photonics
• Disordered Chern insulator with a two step Floquet drive
• Bosonic Analogs of Fractional Quantum Hall State in the Vicinity of Mott States
• Signatures of topology in quantum quench dynamics and their interrelation
• Interacting bosons in topological optical flux lattices
• Polar molecules in frustrated triangular ladders
• Geometric phase of Wannier-Stark ladders in alkaline-earth(-like) atoms
• Effects of Berry Curvature on the Collective Modes of Ultracold Gases
• Spinor Condensates on a Cylindrical Surface in Synthetic Gauge Fields
• Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Quantum oscillations of magnetization in the tight-binding electrons on honeycomb lattice
• Topological Phase Transition in the Hofstadter-Hubbard Model
• Creating a bosonic fractional quantum Hall state by pairing fermions
• Nonequilibrium Steady States and Resonant Tunneling in Time-Periodically Driven Systems with Interactions
• Spectral functions of a time-periodically driven Falicov-Kimball model: real-space Floquet DMFT study
• Continuous Measurement of an Atomic Current
• Quench Dynamics and Hall Response of Interacting Chern Insulators
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Bosonic fractional quantum Hall states in driven optical lattices
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• Microscopic characteristics and tomography scheme of the local Chern marker
• Simulating bosonic Chern insulators in one-dimensional optical superlattices
• Quantum computing critical exponents
• Hard-Wall Confinement of a Fractional Quantum Hall Liquid
• Floquet engineering a bosonic Josephson junction
• Devil's staircases in synthetic dimensions and gauge fields
• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Rabi Spectroscopy and Sensitivity of a Floquet Engineered Optical Lattice Clock
• Spin-orbit Coupling in Optical lattices
• Rashba-type Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Fractional Chern Insulators in Bands with Zero Berry Curvature
• A Tale of Two Fractals: The Hofstadter Butterfly and The Integral Apollonian Gaskets
• Interaction-driven topological phase transitions in fermionic SU($3$) systems
• Measuring Chern numbers in Hofstadter strips
• Ultrarobust calibration of an optical lattice depth based on a phase shift
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Anomalous charge pumping in a one-dimensional optical superlattice
• Quantum walk of a Bose-Einstein condensate in the Brillouin zone
• Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system
• Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
• Dissipative preparation of fractional Chern insulators
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Stability of fractional Chern insulators with a non-Landau level continuum limit
• Topological phases in odd-legs frustrated synthetic ladders
• Genesis of the Floquet Hofstadter butterfly
• Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
• Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
• Coherence and decoherence in the Harper-Hofstadter model
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Dissipative Boundary State Preparation
• Ferromagnetism and spin excitations in topological Hubbard models with a flatband
• A Cold-Atom Particle Collider
• Generation of uniform synthetic magnetic fields by split driving of an optical lattice
• Tail-free self-accelerating solitons and vortices
• Emergent topology under slow non-adiabatic quantum dynamics
• Phase controlled metal-insulator transition in multi-leg quasiperiodic optical lattices
• Ring model for trapped condensates with synthetic spin-orbit coupling
• Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
• The Hofstadter Butterfly in a Dynamic Cavity-Induced Synthetic Magnetic Field
• Quantum decay in a topological continuum
• Six-dimensional time-space crystalline structures
• Enhanced compressibility due to repulsive interaction in the Harper model
• Fractional corner charges in a 2D super-lattice Bose-Hubbard model
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• Cavity-induced superconducting and $4k_F$ charge-density-wave states
• Optimal Control of Effective Hamiltonians
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Entanglement entropy in a periodically driven quantum Ising chain
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields
• Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models
• Evidencing non-Bloch dynamics in temporal topolectrical circuits
• Fulde-Ferrell Superfluids without Spin Imbalance in Driven Optical Lattices
• Higher-order Weyl superconductors with anisotropic Weyl-point connectivity
• Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder
• Spectral flow and global topology of the Hofstadter butterfly
• Weyl points and topological nodal superfluids in a face-centered cubic optical lattice
• Different models of gravitating Dirac fermions in optical lattices
• Probing the Hall Voltage in Synthetic Quantum Systems
• Chiral spin superfluidity and spontaneous spin Hall effect of interacting bosons
• Prethermal quasiconserved observables in Floquet quantum systems
• Design of laser-coupled honeycomb optical lattices supporting Chern insulators
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Fractional quantum Hall states with variational Projected Entangled-Pair States: a study of the bosonic Harper-Hofstadter model
• Quantum engineering of atomic phase-shifts in optical clocks
• Global phase diagram of two-component Bose gases in antiparallel magnetic fields
• Synthetic gauge field and chiral physics on two-leg superconducting circuits
• Competing ground states of strongly correlated bosons in the Harper-Hofstadter-Mott model
• Critical integer quantum Hall topology and the integrable Maryland model as a topological quantum critical point
• Bose-Hubbard ladder subject to effective magnetic field: quench dynamics in a harmonic trap
• Effects of Dephasing on Quantum Adiabatic Pumping with Nonequilibrium Initial States
• Time-reversal symmetric topological metal
• Chiral Topological Orders in an Optical Raman Lattice
• Observation of Floquet band topology change in driven ultracold Fermi gases
• Out-of-equilibrium dynamics of a Bose Einstein condensate in a periodically driven band system
• Chiral magnetic effect in three-dimensional optical lattices
• Phase diagrams of Bose-Hubbard model and Haldane-Bose-Hubbard model with complex hopping amplitudes
• Heating Rates under Fast Periodic Driving beyond Linear Response
• Open Quantum-System Simulation of Faraday's Induction Law via Dynamical Instabilities
• PT invariant Weyl semimetals in gauge symmetric systems
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Kaleidoscopes of Hofstadter Butterflies and Aharonov-Bohm caging from $2^n$-root topology in decorated square lattices
• Counterdiabatic Driving for Periodically Driven Systems
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Generating Synthetic Magnetism via Floquet Engineering Auxiliary Qubits in Phonon-Cavity-Based Lattice
• Persistent currents in ultracold gases
• Topological states in a dimerized system with staggered magnetic fluxes
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Tunable Flux through a Synthetic Hall Tube of Neutral Fermions
• Two-leg ladder Bose Hubbard models with staggered fluxes
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Correlated Spin-Flip Tunneling in a Fermi Lattice Gas
• Many-body dynamics and gap opening in interacting periodically driven systems
• Dissipative time evolution of a chiral state after a quantum quench
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Effects of Interaction in the Hofstadter regime of the honeycomb lattice
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• Flat-band ferromagnetism in a topological Hubbard model
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect
• Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields
• Nodal Brillouin Zone Boundary from Folding a Chern Insulator
• Quantum optics and frontiers of physics: The third quantum revolution
• Hofstadter Butterfly Evolution in the Space of Two-Dimensional Bravais Lattices
• Bloch-Landau-Zener dynamics in single-particle Wannier-Zeeman systems
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Cavity-induced emergent topological spin textures in a Bose Einstein condensate
• Control of Quantum Dynamics of Electron Transfer in Molecular Loop Structures: Spontaneous Breaking of Chiral Symmetry under Strong Decoherence
• Real-space probe for lattice quasiholes
• Quantum particle in a parabolic lattice in the presence of a gauge field
• Magnetic skyrmion crystal at a topological insulator surface
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Novel topological insulators from crystalline symmetries
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Topological Edge-State Manifestation of Interacting 2D Condensed Boson-Lattice Systems in a Harmonic Trap
• Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• Cavity-enhanced superconductivity via band engineering
• Competing orders in the Hofstadter t-J model
• Weyl semimetals in optical lattices: moving and merging of Weyl points, and hidden symmetry at Weyl points
• Dynamically characterizing topological phases by high-order topological charges
• Topological metal bands with double-triple-point fermions in optical lattices
• Characterization and classification of interacting (2+1)D topological crystalline insulators with orientation-preserving wallpaper groups
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Magnetic field induced symmetry breaking in nonequilibrium quantum networks
• Resonant excitations of a Bose Einstein condensate in an optical lattice
• Momentum-space Harper-Hofstadter model
• Design and construction of a quantum matter synthesizer
• Topological phases of the dimerized Hofstadter butterfly
• Evolution of the Hofstadter butterfly in a tunable optical lattice
• Experimental realization of a fermionic spin-momentum lattice
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Breakdown of the Peierls substitution for the Haldane model with ultracold atoms
• The resonant state at filling factor ν = 1/2 in chiral fermionic ladders
• Pairing sizes in attractively interacting Fermi gases with Spin-orbit Couplings
• Realising Type II Weyl Points in an Optical Lattice
• Floquet engineering from long-range to short-range interactions
• Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Method for finding the exact effective Hamiltonian of time driven quantum systems
• Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
• Floquet Heating in Interacting Atomic Gases with an Oscillating Force
• Interaction driven exotic quantum phases in spin-orbit coupled spin$-1$ bosons
• Chern Kondo Insulator in an Optical Lattice
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
• Effects of Disorder On Thouless Pumping In Higher-Order Topological Insulators
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Slow quenches in Chern insulator ribbons
• Dynamical decoupling and dynamical isolation in temporally modulated coupled pendulums
• Quantum computing Floquet energy spectra
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Berezinskii-Kosterlitz-Thouless transition in the time-reversal-symmetric Hofstadter-Hubbard model
• Long time asymptotic state of periodically driven open quantum systems
• One-dimensional non-interacting topological insulators with chiral symmetry
• Attractive Hofstadter-Hubbard model with imbalanced chemical and vector potentials
• Synthetic Hall ladder with tunable magnetic flux
• Stueckelberg interferometry using periodically driven spin-orbit coupled Bose-Einstein condensates
• Quantized Floquet topology with temporal noise
• Spin-orbit coupled ultracold gases in optical lattices: High-band physics and insufficiency of tight-binding models
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Floquet Spinor Bose Gases
• Floquet Supersymmetry
• Exotic pairing symmetry of interacting Dirac fermions on a $\pi$ flux lattice
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Quantum entropic self-localization with ultracold fermions
• Measuring the topological phase transition via the single-particle density matrix
• Stability of entanglement-spectrum crossing in quench dynamics of one dimensional gapped free-fermion systems
• BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
• Antiferromagnetic Chern insulator in centrosymmetric systems
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Topological Lifshitz Transitions, Orbital Currents, and Interactions in Low-dimensional Fermi Gases in Synthetic Gauge Fields
• Strong correlation effects in a two-dimensional Bose gas with quartic dispersion
• Detecting $\pi$-phase superfluids with $p$-wave symmetry in a quasi-1D optical lattice
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Tunneling vortex dynamics in linearly coupled Bose-Hubbard rings
• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
• Non-Markovian skin effect
• Dynamical transitions in aperiodically kicked tight-binding models
• Distributed quantum sensing with optical lattices
• Fractional quantum Hall states of bosons on cones
• Phase diagrams of Bose-Hubbard model and antiferromagnetic spin-1/2 models on a honeycomb lattice
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Spontaneous breaking of time-reversal symmetry in topological insulators
• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• A Scaling Behavior of Bloch Oscillation in Weyl Semimetals
• Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
• Density-induced geometric frustration of ultra-cold bosons in optical lattices
• Fulde-Ferrell-Larkin-Ovchinnikov state to topological superfluidity transition in bilayer spin-orbit coupled degenerate Fermi gas
• Emergent Fermi sea in a system of interacting bosons
• Local Chern marker of smoothly confined Hofstadter fermions
• Fractal defect states in the Hofstadter butterfly
• 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
• On the quantization of the Hall conductivity in the Harper-Hofstadter model
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Synthetic Helical Liquids with Ultracold Atoms in Optical Lattices
• Self-adapted Floquet Dynamics of Ultracold Bosons in a Cavity
• Berry Curvature of interacting bosons in a honeycomb lattice
• Vortex Dynamics of Rotating Bose-Einstein Condensate of Microcavity Polaritons
• Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
• Bosonic Double Ring Lattice Under Artificial Gauge Fields
• Atomtronic multi-terminal Aharonov-Bohm interferometer
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Hofstadter butterfly in the Falicov-Kimball model on some finite 2D lattices
• Stripe-ordered superfluid and supersolid phases in attractive Hofstadter-Hubbard model
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Generating an effective magnetic lattice for cold atoms
• Periodic Clifford symmetry algebras on flux lattices
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Nematic quantum liquid crystals of bosons in frustrated lattices
• Symmetry-Protected Topological Phase for Spin-Tensor-Momentum-Coupled Ultracold Atoms
• Emergent Chern-Simons excitations due to electron--phonon interaction
• Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
• Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
• Exploring helical phases of matter in bosonic ladders
• Passive photonic CZ gate with two-level emitters in chiral multi-mode waveguide QED
• Hofstadter-Hubbard model with opposite magnetic fields: Bardeen-Cooper-Schrieffer pairing and superfluidity in the nearly flat butterfly bands
• Topological Micromotion of Floquet Quantum Systems
• Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Dynamical Equilibration of Topological Properties
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Non-Abelian geometric phases in periodically driven systems
• Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Detecting Topological phase transitions in a double kicked quantum rotor
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Spontaneous quantum Hall effect in an atomic spinor Bose-Fermi mixture
• Topological van Hove singularities at phase transitions in Weyl metals
• Phase transition and intrinsic metric of the dipolar fermions in quantum Hall regime
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Divergence of the Floquet-Magnus expansion in a periodically driven one-body system with energy localization
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Optical lattice implementation scheme of a bosonic topological model with fermionic atoms
• Ring-shaped fractional quantum Hall liquids with hard-wall potentials
• Suppression of inter-band heating for random driving
• Momentum-dependent pseudo-spin dimers of coherently coupled bosons in optical lattices
• Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
• Synthetic non-Abelian topological charges in ultracold atomic gases
• Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
• Detecting topological transitions in two dimensions by Hamiltonian evolution
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Delocalization of edge states in topological phases
• Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation
• Accurate neural quantum states for interacting lattice bosons
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
• Fermionic non-Abelian fractional Chern insulators from dipolar interactions
• Realization and detection of Kitaev quantum spin liquid with Rydberg atoms
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• Interacting bosons in generalized zig-zag and railroad-trestle models
• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Dynamical Generation of Topological Magnetic Lattices for Ultracold Atoms
• Anyonic braiding via quench dynamics in fractional quantum Hall liquids
• A numerically exact study of Weyl superconductivity
• Stability of dynamical topology against dynamical noise in quantum quenches
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
• Advances in atomtronics
• Strongly Interacting Two-component Coupled Bose Gas in Optical Lattices
• How to dress radio-frequency photons with tunable momentum
• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Quantum phases of two-component bosons on the Harper-Hofstadter ladder
• Transport of ultracold atoms in superpositions of S- and D-band states in a moving optical lattice
• Chiral topological phases in optical lattices without synthetic fields
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Controlled parity switch of persistent currents in quantum ladders
• Spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature
• Boundary-induced dynamics in 1D topological systems and memory effects of edge modes
• Translational symmetry breaking and the disintegration of the Hofstadter butterfly
• Fast and direct preparation of a genuine lattice BEC via the quantum Mpemba effect
• Quantum Hall effect in momentum space
• Phases of d-orbital bosons in optical lattices
• Momentum-space Landau levels in driven-dissipative cavity arrays
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials
• Single atom edge-like states via quantum interference
• Topological Mid-gap States of px+ipy Topological Superconductor with Vortex superlattice
• The in-plane gradient magnetic field induced vortex lattices in spin-orbit coupled Bose-Einstein condensations
• Harnessing synthetic gauge fields for maximally entangled state generation
• Growing quantum states with topological order
• Exact numerical methods for a many-body Wannier Stark system
• Seeing Hofstadter's Butterfly in Atomic Fermi Gases
• Synthetic magnetic fields for cold erbium atoms
• Fractional quantization of charge and spin in topological quantum pumps
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Phase transition in a Aubry-Andre system with rapidly oscillating magnetic field
• Universal quantum computation with symmetric qubit clusters coupled to an environment
• Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
• Loop current states and their stability in small fractal lattices of Bose-Einstein condensates
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Squeezing anyons for braiding on small lattices
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Magnetic catalysis in weakly interacting hyperbolic Dirac materials
• Hall response in interacting bosonic and fermionic ladders
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
• Dynamically Generated Synthetic Electric Fields for Photons
• Instabilities of interacting matter waves in optical lattices with Floquet driving
• Artificial Magnetic Field Quenches in Synthetic Dimensions
• Universal Counterdiabatic Driving
• Fractional topological insulator precursors in spin-orbit fermion ladders
• An accordion superlattice for controlling atom separation in optical potentials
• Interaction-Tuned Dynamical Transitions in a Rashba Spin-Orbit Coupled Fermi Gas
• Protocols for dynamically probing topological edge states and dimerization with fermionic atoms in optical potentials
• Quantum Phases and Collective Excitations in Bose-Hubbard Models with Staggered Magnetic Flux
• Anatomy of a periodically driven p-wave superconductor
• Quantized electromagnetic response of three-dimensional chiral topological insulators
• Vortex-Meissner phase transition induced by two-tone-drive-engineered artificial gauge potential in the fermionic ladder constructed by superconducting qubit circuits
• Fractional Quantum Hall Effect in Hofstadter Butterflies of Dirac Fermions
• Wavepacket dynamics on Chern band lattices in a trap
• Quantum walks accompanied by spin flipping in one-dimensional optical lattices
• Tunable quantum switcher and router of cold atom matter waves using artificial magnetic fields
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Hidden-symmetry-protected quantum pseudo-spin Hall effect in optical lattices
• Synthetic topological Kondo insulator in a pumped optical cavity
• Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
• Bosonic Gaussian states from conformal field theory
• Synthetic topology and Floquet dynamic quantum phase transition in a periodically driven Raman lattice
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Floquet states of Valley-Polarized Metal with One-way Spin or Charge Transport in Zigzag Nanoribbons
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Quantum dynamics in potentials with fast spatial oscillations
• Response of fermions in Chern bands to spatially local quenches
• Hidden-symmetry-protected Z_2 topological insulator in a cubic lattice
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Topological phases in the Fermi-Hofstadter-Hubbard model on hybrid-space ladders
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Omnidirectional spin Hall effect in a Weyl spin-orbit coupled atomic gas
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Superconductivity in a Topological Lattice Model with Strong Repulsion
• Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
• Thermodynamics of the Bose-Hubbard model in a Bogoliubov+U theory
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Cyclotron dynamics of a Bose-Einstein condensate in a quadruple-well potential with synthetic gauge fields
• Calibrating the absorption imaging of cold atoms under high magnetic fields
• A significantly stable mode of the ultracold atomic wave packet in amplitude modulated parabolic optical lattices
• Localization, transport and edge states in a two-strand ladder network in an aperiodically staggered magnetic field
• Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Finite-wavevector Electromagnetic Response in Lattice Quantum Hall Systems
• Stabilization of prethermal Floquet steady states in a periodically driven dissipative Bose-Hubbard model
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Meissner effect in Fock space
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• HofstadterTools: A Python package for analyzing the Hofstadter model
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
• Quasi-edge states and topological Bloch oscillation in the synthetic space
• Hofstadter problem in higher dimensions
• Winding number order in the Haldane model with interactions
• Notes on Quantum oscillation for Hatsugai-Kohmoto model
• Floquet Flux Attachment in Cold Atomic Systems
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• Floquet expansion by counting pump photons
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Floquet-engineered chiral-induced spin selectivity
• Vortex Dynamics in a Spin-Orbit Coupled Bose-Einstein Condensate
• Cyclotron dynamics of interacting bosons in artificial magnetic fields
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
• Efficient algorithm to compute the Berry conductivity
• Chern insulator with large Chern numbers. Chiral Majorana fermion liquid
• Generating soliton trains through Floquet engineering
• An investigation of pre-crystalline order, ruling out Pauli crystals and introducing Pauli anti-crystals
• Efficiently measuring $d$-wave pairing and beyond in quantum gas microscopes
• Directed motion of doublons and holes in periodically driven Mott insulators
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Artificial topological models based on a one-dimensional spin-dependent optical lattice
• Coherence Times of Bose-Einstein Condensates beyond the Shot-Noise Limit via Superfluid Shielding
• Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
• Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields
• Exotic Topological States with Raman-Induced Spin-Orbit Coupling
• Quantum Hall conductance and de Haas van Alphen oscillation in a tight-binding model with electron and hole pockets for (TMTSF)${}_2$NO${}_3$
• Kernel-Function Based Quantum Algorithms for Finite Temperature Quantum Simulation
• Exotic quantum light-matter interactions in bilayer square lattices
• Topological Rice-Mele model in an emergent lattice: Exact diagonalization approach
• $N$-coherence vs. $t$-coherence: An alternative route to the Gross-Pitaevskii equation
• Topological Supersolidity of Dipolar Fermi Gases in a Spin-Dependent Optical Lattice
• Universality and quantized response in bosonic nonfractionalized tunneling
• Harmonic trap resonance enhanced synthetic atomic spin-orbit coupling
• Pseudo-magnetic fields in square lattices
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Topological order in the Haldane model with spin-spin on-site interactions
• Three-dimensional non-Abelian generalizations of the Hofstadter model: spin-orbit-coupled butterfly trios
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels
• Artificial gauge fields and topological insulators in Moire superlattices
• Phase diagram for the Harper model of the honeycomb lattice
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Topological lattice using multi-frequency radiation
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
• Fractional quantum Hall states of dipolar fermions in a strained optical lattice
• Quantum incommensurate Skyrmion crystals and Commensurate to In-commensurate transitions in cold atoms and materials with spin orbit couplings in a Zeeman field
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Simulating chiral spin liquids with projected entangled-pair states
• Two-dimensional Fermi gas in antiparallel magnetic fields
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: gauge matters
• Transition from nodal loop to nodal chain phase in a periodically modulated optical lattice
• Berry phase for a Bose gas on a one-dimensional ring
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Phase diagram of dipolar hard-core bosons on honeycomb lattice
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Yang monopoles and emergent three-dimensional topological defects in interacting bosons
• Structure-dynamics relation in shaken optical lattices
• Staggered quantum phases of dipolar bosons at finite temperatures
• Non-reciprocal population dynamics in a quantum trimer
• Topological superfluids on a square optical lattice with non-Abelian gauge fields: Effects of next-nearest-neighbor hopping in the BCS-BEC evolution
• Bound states in and out of the continuum in nanoribbons with wider sections: A novel recursive S-matrix method
• Coherent spin mixing via spin-orbit coupling in Bose gases
• Impurity coupled to an artificial magnetic field in a Fermi gas in a ring trap
• Hong-Ou-Mandel Interference in a temporal-average-inversion-symmetric chain
• Surveying structural complexity in quantum many-body systems
• Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Compressibility enhancement in an almost staggered interacting Harper model
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Two-leg fermionic Hubbard ladder system in the presence of state-dependent hopping
• Ferromagnetism and Skyrmions in the Hofstadter-Fermi-Hubbard Model
• Synthesizing the Quantum Spin Hall Phase for Ultracold Atoms in Bichromatic Chiral Optical Ladders
• Understanding Floquet Resonances in Ultracold Gas Scattering
• Two-dimensional topological effect in a transmon qubit array with tunable couplings
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Non-Hermitian catalysis of spontaneous symmetry breaking on Euclidean and hyperbolic lattices
• Mott insulating states of the anisotropic SU(4) Dirac fermions
• Polarization as a topological quantum number in graphene
• Quantum Mechanics With Noncommutative Amplitudes
• Fractionalization Waves in Two-dimensional Dirac Fermions: Quantum Imprint from One Dimension
• Engineering Frequency-dependent Superfluidity in Bose-Fermi Mixtures
• Exact diagonalization using hierarchical wave functions and calculation of topological entanglement entropy
• Dynamics of weakly interacting bosons in optical lattices with flux
• Non-invasive measurement of currents in analog quantum simulators
• Hofstadter-Toda spectral duality and quantum groups
• Experimental Demonstration of a Synthetic Lorentz Force by Using Radiation Pressure
• Tunable symmetry-protected higher-order topological states with fermionic atoms in bilayer optical lattices
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Laser assisted tunneling in a Tonks-Girardeau gas
• Topological phases of shaken quantum Ising lattices
• Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder
• Detecting Hidden Order in Fractional Chern Insulators
• Nonreciprocal microwave transmission based on Gebhard-Ruckenstein hopping
• Chiral spin liquid phase in an optical lattice at mean-field level
• Relativistic horizon of interacting Weyl fermions in condensed matter systems
• Magnetic effects on Chern Kondo insulator
• Density-Dependent Gauge Field with Raman Lattices
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Compact setup for the production of ${}^{87}$Rb $|F=2,m_F=+2⟩$ Bose-Einstein condensates in a hybrid trap
• Measurement and Significance of Wilson Loops in Synthetic Gauges Fields
• Chiral topological states in Bose-Fermi mixtures
• Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet
• Fractal Butterflies of Chiral Fermions in Bilayer Graphene: Phase Transitions and Emergent Properties
• Approximate Hofstadter- and Kapit-Mueller-like parent Hamiltonians for Laughlin states on fractals
• Bulk density signatures of a lattice quasihole with very few particles
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Phase space curvature in spin-orbit coupled ultracold atom systems
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Stability of superfluids in tilted optical lattices with periodic driving
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions
• Effective (Floquet) Lindblad generators from spectral unwinding
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• Supersymmetry dynamics on Rydberg atom arrays
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Exploring Thouless Pumping in the Generalized Creutz Model: A Graphical Method and Modulation Schemes
• Interaction-induced chiral-transport inversion
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Chiral Gravitons on the Lattice
• Optimal quantum transport on a ring via locally monitored chiral quantum walks
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Localization and persistent currents in a quasiperiodic disordered helical lattice
• Fractional Local Moment and High Temperature Kondo Effect in Rashba-Fermi Gases
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Topological phases of two-component bosons in species-dependent artificial gauge potentials
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas
• Relativistic motion of an Airy wavepacket in a lattice potential
• Robust nonequilibrium edge currents with and without band topology
• Generating topological optical flux lattices for ultracold atoms by modulated Raman and radio-frequency couplings
• Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier
• Superradiant phase transition with cavity assisted dynamical spin-orbit coupling
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Thermometry for Laughlin States of Ultracold Atoms
• Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Dynamical Generation of Synthetic Electric Fields for Photons in the Quantum Regime
• Flux-driven quantum spin liquids in kagome optical lattices
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Momentum-space dynamics of Dirac quasiparticles in correlated random potentials: Interplay between dynamical and Berry phases
• The large $|U|$ expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Universal Performance Gap of Neural Quantum States Applied to the Hofstadter-Bose-Hubbard Model
• Topological Order in Neural Wavefunctions
• Multipassage Landau-Zener tunneling oscillations in transverse/longitudinal dual dressing of atomic qubits
• Anomalous enhancement of Neel order in the $S=1/2$ square lattice Heisenberg model under fictitious magnetic field
• Strongly fluctuating fermionic superfluid in attractive π-flux Hubbard model
• Landau-Stark states and edge-induced Bloch oscillations in topological lattices
• Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field
• Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
• Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
• Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
• Emulation of magneto-optic Faraday effect using ultracold atoms
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice
• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• Two-dimensional imbalanced Fermi gas in antiparallel magnetic fields
• A toolbox for elementary fermions with a dipolar Fermi gas in a 3D optical lattice
• Topological phase transition in a two-species fermion system: Effects of a rotating trap potential or a synthetic gauge field
• Killing the Hofstadter butterfly, one bond at a time
• Dynamics of quasiholes and quasiparticles at the edges of small lattices
• Inter-species topological phases via a dynamical gauge field
• Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
• Meissner-Like Currents of Photons in Anomalous Superradiant Phases
• Sample complexity of matrix product states at finite temperature
• Experimental study of tune-out wavelengths for spin-dependent optical lattice in ${}^{87}$Rb Bose-Einstein condensation
• Two-particle topological Thouless spin pump
• Landau-Stark states and cyclotron-Bloch oscillations of a quantum particle
• Transmission in a Fano-Anderson chain with a topological defect
• Quantum Hall states for $\alpha =1/3$ in optical lattices
• Bloch and Bethe ansatze for the Harper model: A butterfly with a boundary
• Quantum science with arrays of metastable helium-3 atoms
• Zero modes and index theorems for non-Hermitian Dirac fermions
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Fractional quantum Hall interface induced by geometric singularity
• Topological constraints on the electronic band structure of hexagonal lattice in a magnetic field
• Using superlattice potentials to probe long-range magnetic correlations in optical lattices
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Waveguide QED toolboxes for universal quantum matter
• Metal-insulator phase transition and topology in a three-component system
• Emergent long-range interaction and state-selective localization in a strongly driven $XXZ$ model
• Numerical solution of large scale Hartree-Fock-Bogoliubov equations
• Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model
• Correlated disorder induced anomalous transport in magnetically doped topological insulators
• Semiclassical asymptotics of the Aharonov-Bohm interference process
• Ultracold atomic lattice systems for simulating topological phases: A review
• The attractive Hubbard model as an $SO(3)$ system of competing phases: supersolid order and its thermal melting
• Higher-order topological quantum paramagnets
• Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates
• Condensation driven by a quantum phase transition
• Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential
• Localization phase diagram of the Hexagonal Lattice with irrational magnetic flux
• Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Field-induced topological pair-density wave states in a multilayer optical lattice
• Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
• The Sagnac Effect in Optical Lattices with Laser-Assisted Tunneling
• Tunneling-induced fractal transmission in Valley Hall waveguides
• Synchronized Aharonov-Bohm Motifs via Engineered Dissipation
• Detecting degenerate bands topological invariants in optical lattice
• Slow-Goldstone mode generated by order from quantum disorder and its experimental detection
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Hofstadter Butterfly in Graphene
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity
• Magnetization-induced reordering of ground states phase diagram in a two-component Bose-Hubbard model
• Critical magnetic flux for Weyl points in the three-dimensional Hofstadter model
• Floquet Engineering of Non-Equilibrium Superradiance
• Competition of light- and phonon-dressing in microwave-dressed Bose polarons
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems
• Fractionalized Prethermalization in the One-Dimensional Hubbard Model
• Probing dielectric breakdown in Mott insulators through current oscillations
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Gauging away the Stoner model: Engineering unconventional metallic ferromagnetism with artificial gauge fields
• Adiabatic preparation of a number-conserving atomic Majorana phase
• Floquet engineering with spatially non-uniform driving fields
• Orbital Description of Landau Levels
• Characterizing the transition from topology to chaos in a kicked quantum system
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
• Random-matrix approach to time-dependent forcing in many-body quantum systems
• Universal non-power-law scaling from a chaotic renormalisation group in the Harper-Hofstadter model
• Optical control of electrons in a Floquet topological insulator
• Emergent dipole field theory in atomic ladders
• Proposal for realizing and probing topological crystalline insulators in optical lattices