Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
arXiv:1612.02996 · doi:10.1103/PhysRevX.7.031057
Abstract
Understanding the robustness of topological phases of matter in the presence of strong interactions, and synthesising novel strongly-correlated topological materials, lie among the most important and difficult challenges of modern theoretical and experimental physics. In this work, we present a complete theoretical analysis of the synthetic Creutz-Hubbard ladder, which is a paradigmatic model that provides a neat playground to address these challenges. We put special attention to the competition of correlated topological phases and orbital quantum magnetism in the regime of strong interactions. These results are furthermore confirmed and extended by extensive numerical simulations. Moreover we propose how to experimentally realize this model in a synthetic ladder, made of two internal states of ultracold fermionic atoms in a one-dimensional optical lattice. Our work paves the way towards quantum simulators of interacting topological insulators with cold atoms.
closer to published version
References in corpus (89)
- 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
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Berry Phase Effects on Electronic Properties
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- The density-matrix renormalization group in the age of matrix product states
- Feshbach Resonances in Ultracold Gases
- Cold bosonic atoms in optical lattices
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Classification of topological insulators and superconductors in three spatial dimensions
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Experimental realisation of the topological Haldane model
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Periodic table for topological insulators and superconductors
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement entropy and conformal field theory
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Entanglement in a simple quantum phase transition
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Entanglement spectrum of a topological phase in one dimension
- Atomic quantum gases in periodically driven optical lattices
- Light-induced gauge fields for ultracold atoms
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- A Method for Simulating Chiral Fermions on the Lattice
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Direct Measurement of the Zak phase in Topological Bloch Bands
- A Mott insulator of fermionic atoms in an optical lattice
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
- Bose-Einstein condensation of atoms in a uniform potential
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Observation of the Meissner effect with ultracold atoms in bosonic ladders
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Fractional Quantum Hall Physics in Topological Flat Bands
- Aharonov-Bohm cages in two-dimensional structures
- High-temperature superfluidity of fermionic atoms in optical lattices
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- Non-standard Hubbard models in optical lattices: a review
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Quantum simulation of an extra dimension
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Gauge fields for ultracold atoms in optical superlattices
- Observation of photon-assisted tunneling in optical lattices
- Quench-induced supercurrents in an annular Bose gas
- Bose condensation in flat bands
- Correlation effects in two-dimensional topological insulators
- End states, ladder compounds, and domain wall fermions
- Site-resolved imaging of a fermionic Mott insulator
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Topology induced anomalous defect production by crossing a quantum critical point
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
- Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
- Effective theory and emergent symmetry in the flat bands of attractive Hubbard models
- An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
- Topological states in two-dimensional optical lattices
- Interferometric approach to measuring band topology in 2D optical lattices
- Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
- Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
- Phase diagram and pair Tomonaga-Luttinger liquid in a Bose-Hubbard model with flat bands
- Geometry induced pair condensation
- Surface states and chiral symmetry on the lattice
- A study on correlation effects in two dimensional topological insulators
- From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
- Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
- Measuring Z2 topological invariants in optical lattices using interferometry
- Effective three-body interactions via photon-assisted tunneling in an optical lattice
- Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
- Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
- Bragg scattering and the spin structure factor of two-component atomic gases
Cited by in corpus (119)
- Topological Photonics
- Topological Bands for Ultracold Atoms
- Artificial flat band systems: from lattice models to experiments
- Topological quantum matter in synthetic dimensions
- Interacting topological insulators: a review
- Experimental observation of Aharonov-Bohm cages in photonic lattices
- Review on novel methods for lattice gauge theories
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Preformed pairs in flat Bloch bands
- Flat-band many-body localization and ergodicity breaking in the Creutz ladder
- Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
- Many-Body Flatband Localization
- Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
- Pairing and superconductivity in the flat band: Creutz lattice
- Flat-band localization in Creutz superradiance lattices
- Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
- Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
- Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
- Quantum Simulation of the Bosonic Creutz Ladder with a Parametric Cavity
- Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
- Nonlinear caging in All-Bands-Flat Lattices
- A comprehensive review on developments of synthetic dimensions
- Quenched dynamics and spin-charge separation in an interacting topological lattice
- Floquet engineering to exotic topological phases in systems of cold atoms
- Stabilizing multiple topological fermions on a quantum computer
- Lattice gauge fields via modulation in circuit QED: The bosonic Creutz ladder
- Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
- Quantum Caging in Interacting Many-Body All-Bands-Flat Lattices
- Interaction-induced topological properties of two bosons in flat-band systems
- gauge theories coupled to topological fermions: QED with a quantum-mechanical angle
- Flat-band localization and interaction-induced delocalization of photons
- Nonlinear symmetry breaking of Aharonov-Bohm cages
- Extended flat-bands, entanglement and topological properties in a Creutz ladder
- Robust topological order in fermionic gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
- Interaction induced doublons and embedded topological subspace in a complete flat-band system
- Synthetic dimensions for topological and quantum phases: Perspective
- Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
- Non-thermalized Dynamics of Flat-Band Many-Body Localization
- Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
- Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
- Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
- Lattice-fermionic Casimir effect and topological insulators
- Signatures of topology in quantum quench dynamics and their interrelation
- Many-body entanglement in a topological chiral ladder
- Fast quantum transfer mediated by topological domain walls
- Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
- Interplay and competition between disorder and flat band in an interacting Creutz ladder
- Phase diagram of an interacting staggered Su-Schrieffer-Heeger two-chain ladder close to a quantum critical point
- Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
- Compactly Supported Wannier Functions and Strictly Local Projectors
- Many-body Aharonov-Bohm caging in a lattice of rings
- Superfluid weight in the isolated band limit within the generalized random phase approximation
- Quantum Control in Open and Periodically Driven Systems
- Edge mode manipulation through commensurate multifrequency driving
- Realizing a symmetry protected topological phase through dimerized interactions
- The Rhombi-Chain Bose-Hubbard Model: geometric frustration and interactions
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Tailoring flat bands and topological phases in a multi-strand Creutz network
- Topological inverse Anderson insulator
- Pairing and pair superfluid density in one-dimensional Hubbard models
- Catalog of noninteracting tight-binding models with two energy bands in one dimension
- Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
- Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
- Drude weight and the many-body quantum metric in one-dimensional Bose systems
- Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
- Interaction-induced topological phase transition at finite temperature
- Topological Devil's staircase in atomic two-leg ladders
- Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
- Weyl singularities in polaritonic multi-terminal Josephson junctions
- Topological chiral currents in the Gross-Neveu model extension
- Detecting topology through dynamics in interacting fermionic wires
- Exact dimer phase with anisotropic interaction for one dimensional magnets
- Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
- Topological Superconductivity in a two-dimensional Weyl SSH model
- Enhanced repulsively bound atom pairs in topological optical lattice ladders
- Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
- Kondo effect with Wilson fermions
- Exploring helical phases of matter in bosonic ladders
- Two-fluid coexistence and phase separation in a one dimensional model with pair hopping and density interactions
- Correlation-Assisted Quantized Charge Pumping
- Topological properties of a periodically driven Creutz ladder
- Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
- Reentrant topological phases and spin density wave induced by 1D moiré potentials
- Charge excitations across a superconductor-insulator transition
- Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
- Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field
- Drude weight increase by orbital and repulsive interactions in fermionic ladders
- Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with orbitals
- Spin-tensor Meissner currents of ultracold bosonic gas in an optical lattice
- Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
- Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
- Synthetic Hall tube of interacting fermions
- Topological order in the Haldane model with spin-spin on-site interactions
- Large- and tensor-network methods for strongly-interacting topological insulators
- Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
- Cold atoms meet lattice gauge theory
- Topological phases of spinless -orbital fermions in zigzag optical lattices
- Long-range Ising interactions mediated by fields: probing the renormalisation of sound in crystals of trapped ions
- Synthesizing the Quantum Spin Hall Phase for Ultracold Atoms in Bichromatic Chiral Optical Ladders
- Effects of the Hubbard interaction on the quantum metric
- Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
- Exploring Thouless Pumping in the Generalized Creutz Model: A Graphical Method and Modulation Schemes
- Coexistence of ergodic and non-ergodic behavior and level spacing statistics in a one-dimensional model of a flat band superconductor
- Tunable two-species spin models with Rydberg atoms in circular and elliptical states
- From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
- Higher order topology in a Creutz ladder
- Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
- Recent progress on disorder-induced topological phases
- Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
- The large expansion for a half-filled asymmetric Hubbard model on a triangular ladder in the presence of spin-dependent magnetic flux
- Fate of chiral order and impurity self-pinning in flat bands with local symmetry
- Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
- Tunable zero modes and quantum interferences in flat-band topological insulators
- Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
- Flat band mediated photon-photon interactions in 2D waveguide QED networks
- Topological bound states in a lattice of rings with nearest-neighbour interactions
- Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group
- Dissipation-Driven Transition of Particles from Dispersive to Flat Bands