Gauge fields for ultracold atoms in optical superlattices

Abstract

We present a scheme that produces a strong U(1)-like gauge field on cold atoms confined in a two-dimensional square optical lattice. Our proposal relies on two essential features, a long-lived metastable excited state that exists for alkaline-earth or Ytterbium atoms, and an optical superlattice. As in the proposal by Jaksch and Zoller [New Journal of Physics 5, 56 (2003)], laser-assisted tunneling between adjacent sites creates an effective magnetic field. In the tight-binding approximation, the atomic motion is described by the Harper Hamiltonian, with a flux across each lattice plaquette that can realistically take any value between 0 and $\pi$. We show how to take advantage of the superlattice to ensure that each plaquette acquires the same phase, thus simulating a uniform magnetic field. We discuss the observable consequences of the artificial gauge field on non-interacting bosonic and fermionic gases. We also outline how the scheme can be generalized to non-Abelian gauge fields.

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Cited by in corpus (226)

• Artificial gauge potentials for neutral atoms
• Topological phases of non-Hermitian systems
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Light-induced gauge fields for ultracold atoms
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Synthetic gauge fields in synthetic dimensions
• Exploring Topological Phases With Quantum Walks
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• 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
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Topological quantum matter with cold atoms
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• A synthetic electric force acting on neutral atoms
• The Peierls substitution in an engineered lattice potential
• Artificial gauge fields in materials and engineered systems
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
• Tailoring quantum gases by Floquet engineering
• Direct imaging of topological edge states in cold-atom systems
• Chiral Ladders and the Edges of Chern Insulators
• Optical Flux Lattices for Ultracold Atomic Gases
• Imaging and addressing of individual fermionic atoms in an optical lattice
• Tunable Landau-Zener transitions in a spin-orbit coupled Bose-Einstein condensate
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• BCS-BEC crossover induced by a synthetic non-Abelian gauge field
• Exploring Interacting Topological Insulators with Ultracold Atoms: the Synthetic Creutz-Hubbard Model
• Periodically-driven quantum matter: the case of resonant modulations
• Spin-orbit coupling and spin Hall effect for neutral atoms without spin-flips
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Towards quantum simulation with circular Rydberg atoms
• Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions
• How does a synthetic non-Abelian gauge field influence the bound states of two spin-$\half$ fermions?
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Quantum Simulation and Spectroscopy of Entanglement Hamiltonians
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Scattering Theory for Floquet-Bloch States
• Synthetic spin-orbit coupling in an optical lattice clock
• Extracting the Chern number from the dynamics of a Fermi gas: Implementing a quantum Hall bar for cold atoms
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Interferometric approach to measuring band topology in 2D optical lattices
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Dirac-Weyl fermions with arbitrary spin in two-dimensional optical superlattices
• Tunable topological Weyl semimetal from simple cubic lattices with staggered fluxes
• Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
• Correlated phases of bosons in the flat lowest band of the dice lattice
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Quantum Computing and Quantum Simulation with Group-II Atoms
• Majorana edge states in two atomic wires coupled by pair-hopping
• Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Z_2 Topological Insulators in Ultracold Atomic Gases
• Semi-synthetic zigzag optical lattice for ultracold bosons
• A semi-Dirac point in the Hofstadter spectrum
• Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices
• Detection and manipulation of nuclear spin states in fermionic strontium
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Fast closed-loop optimal control of ultracold atoms in an optical lattice
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Chiral currents in one-dimensional fractional quantum Hall states
• Condensed Groundstates of Frustrated Bose-Hubbard Models
• Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
• Creation of Quantum-Degenerate Gases of Ytterbium in a Compact 2D-/3D-MOT Setup
• Spin-dependent Optical Superlattice
• Experimental realization of strong effective magnetic fields in optical superlattice potentials
• Dynamic Optical Superlattices with Topological Bands
• Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
• Creating anomalous Floquet Chern insulators with magnetic quantum walks
• Fractional topological phase in one-dimensional flatbands with nontrivial topology
• Emergence of massless Dirac fermions in graphene's Hofstadter butterfly at switches of the quantum Hall phase connectivity
• Bose-Einstein condensation of 86Sr
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Dissipation-induced topological insulators: A no-go theorem and a recipe
• Fractional charge pumping of interacting bosons in one-dimensional superlattice
• Quantum Charge Pumps with Topological Phases in Creutz Ladder
• Designing Topological Bands in Reciprocal Space
• Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
• Helical Floquet Channels in 1D Lattices
• Birefringent break up of Dirac fermions in a square optical lattice
• Three-level Haldane-like model on dice optical lattice
• Line of Dirac monopoles embedded in a Bose-Einstein condensate
• Interacting Hofstadter spectrum of atoms in an artificial gauge field
• (3+1) Massive Dirac Fermions with Ultracold Atoms in Optical Lattices
• Core-Shell Magneto-Optical Trap for Alkaline-Earth-Metal-Like Atoms
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Directed transport in driven optical lattices by phase generation
• Reservoir spectroscopy of 5s5p ${}^3$P${}_2$ - 5s$n$d ${}^3$D${}_{1,2,3}$ transitions in strontium
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Single-site-resolved measurement of the current statistics in optical lattices
• Topology by Dissipation: Transport properties
• Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
• Clock spectroscopy of interacting bosons in deep optical lattices
• State-dependent interactions in ultracold ${}^{174}$Yb probed by optical clock spectroscopy
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
• Topological superfluids on a lattice with non-Abelian gauge fields
• Low-density molecular gas of tightly-bound Rashba-Dresselhaus fermions
• Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
• Dimensional crossover and cold-atom realization of topological Mott insulators
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Ultracold atoms in a square lattice with spin-orbit coupling: Charge order, superfluidity, and topological signatures
• Trapped fermions in a synthetic non-Abelian gauge field
• State-dependent lattices for quantum computing with alkaline-earth-metal atoms
• Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
• Spin Dependent Collision of Ultracold Metastable Atoms
• Fast and scalable quantum information processing with two-electron atoms in optical tweezer arrays
• Antiferromagnetic topological insulators in cold atomic gases
• Tunneling-assisted Spin-orbit Coupling in Bilayer Bose-Einstein Condensates
• Absolute frequency measurements and hyperfine structures of the molecular iodine transitions at 578 nm
• Methods for detecting charge fractionalization and winding numbers in an interacting fermionic ladder
• Coupled Atomic Wires in a Synthetic Magnetic Field
• Collective excitations across the BCS-BEC crossover induced by a synthetic Rashba spin-orbit coupling
• Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices
• Quantum walks in synthetic gauge fields with 3D integrated photonics
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Identifying topological edge states in 2D optical lattices using light scattering
• Spiral spin textures of bosonic Mott insulator with SU(3) spin-orbit coupling
• Flux lattices reformulated
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Spin-orbit Coupling in Optical lattices
• Unpaired Weyl nodes from Long-Ranged Interactions: Fate of Quantum Anomalies
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Moiré super-lattice structures in kicked Bose-Einstein condensates
• Generation of uniform synthetic magnetic fields by split driving of an optical lattice
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Seeing Majorana fermions in time-of-flight images of spinless fermions coupled by s-wave pairing
• Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers
• Six-dimensional time-space crystalline structures
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• Photovoltaic Effect of Atomtronics Induced by Artificial Gauge Field
• Spectral flow and global topology of the Hofstadter butterfly
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Vortex Dynamics and Hall Conductivity of Hard Core Bosons
• Design of laser-coupled honeycomb optical lattices supporting Chern insulators
• A Coherent Light Shift on Alkaline-Earth Rydberg Atoms from Isolated Core Excitation without Auto-Ionization
• Flat-band ferromagnetism in a topological Hubbard model
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Doppler Spectroscopy of an Ytterbium Bose-Einstein Condensate on the Clock Transition
• Quantum particle in a parabolic lattice in the presence of a gauge field
• Dirac fields in curved spacetime as Fermi-Hubbard model with non unitary tunnelings
• Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
• Orbital Effect of the Magnetic Field in Dynamical Mean-Field Theory
• Enhancement of chiral edge currents in ($d$+1)-dimensional atomic Mott-band hybrid insulators
• Tunneling dynamics of bosonic Josephson junctions assisted by a cavity field
• Robustness of Fractional Quantum Hall States with Dipolar Atoms in Artificial Gauge Fields
• Realising Type II Weyl Points in an Optical Lattice
• Exotic pairing symmetry of interacting Dirac fermions on a $\pi$ flux lattice
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Non-equilibrium topological phase transitions in two-dimensional optical lattices
• State-dependent potentials for the ${}^1{\text{S}}_0$ and ${}^3{\text{P}}_0$ clock states of neutral ytterbium atoms
• Cold atoms in rotating optical lattice with nearest neighbour interaction
• Sub-Doppler cooling of ytterbium with the ${}^1{S}_0$-${}^1{P}_1$ transition including ${}^{171}$Yb (I=1/2)
• Generating an effective magnetic lattice for cold atoms
• Topological chiral currents in the Gross-Neveu model extension
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Synthetic Helical Liquids with Ultracold Atoms in Optical Lattices
• Quantum simulating the electron transport in quantum cascade laser structures
• Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
• Nematic quantum liquid crystals of bosons in frustrated lattices
• The frequency of the ultranarrow ${}^1{\text{S}}_0-{}^3{\text{P}}_2$ transition in ${}^{87}\text{Sr}$
• Synthetic magnetic fluxes on the honeycomb lattice
• Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields
• Ground states of a Bose-Einstein Condensate in a one-dimensional laser-assisted optical lattice
• Spin-imbalance-induced transverse magnetization in the Hofstadter-Hubbard model
• Spin-gap spectroscopy in a bosonic flux ladder
• Accurate neural quantum states for interacting lattice bosons
• Chiral orbital order of interacting bosons without higher bands
• Accurate computations of Rashba spin-orbit coupling in interacting systems: from the Fermi gas to real materials
• Non-equilibrium and local detection of the normal fraction of a trapped two-dimensional Bose gas
• Adiabatic preparation of vortex lattices
• Clock and inter-combination line frequency separation in ${}^{171}$Yb
• Evidence of spin liquid with hard-core bosons in a square lattice
• Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
• A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Spectroscopy and laser cooling on the ${}^1{S}_0-{}^3{P}_1$ line in Yb via an injection-locked diode laser at 1111.6nm
• Single atom edge-like states via quantum interference
• Seeing Hofstadter's Butterfly in Atomic Fermi Gases
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
• Universal spatiotemporal dynamics of spontaneous superfluidity breakdown in the presence of synthetic gauge fields
• Quantum walks accompanied by spin flipping in one-dimensional optical lattices
• Simulation of gauge transformations on systems of ultracold atoms
• Layered Quantum Hall Insulators with Ultracold Atoms
• Finite-temperature phase structures of hard-core bosons in an optical lattice with an effective magnetic field
• Coherent Three-Photon Excitation of the Strontium Clock Transition
• Superfluid phases of ultracold Fermi gases on a checkerboard superlattice
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Intercombination line frequencies in ${}^{171}$Yb validated with the clock transition
• Topological multiferroic phases in the extended Kane-Mele-Hubbard Model in the Hofstadter regime
• Symmetry-enriched Bose-Einstein condensates in spin-orbit coupled bilayer system
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Runaway evaporation for optically dressed atoms
• Two-color Ytterbium MOT in a compact dual-chamber setup
• Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires
• Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions
• Non-linear Relaxation of Interacting Bosons Coherently Driven on a Narrow Optical Transition
• Bose-Einstein Condensates in Non-abelian Gauge Fields
• Mott insulators in plaquettes
• Stability of superfluids in tilted optical lattices with periodic driving
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Transmission in a Fano-Anderson chain with a topological defect
• Two-dimensional imaging of gauge fields in optical lattices
• Asymmetric Field Photovoltaic Effect of Neutral Atoms
• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction
• Theory of Hofstadter Superconductors
• Detecting degenerate bands topological invariants in optical lattice
• Generation, manipulation and detection of snake state trajectories of a neutral atom in a ring-cavity
• Ultracold atomic lattice systems for simulating topological phases: A review
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice
• Proposal for realizing and probing topological crystalline insulators in optical lattices
• Adiabatic Quantum Zeno Dynamics of Bosonic Atom Pairs with Large Inelastic Losses