Synthetic gauge fields in synthetic dimensions

Abstract

We describe a simple technique for generating a cold-atom lattice pierced by a uniform magnetic field. Our method is to extend a one-dimensional optical lattice into the "dimension" provided by the internal atomic degrees of freedom, yielding a synthetic 2D lattice. Suitable laser-coupling between these internal states leads to a uniform magnetic flux within the 2D lattice. We show that this setup reproduces the main features of magnetic lattice systems, such as the fractal Hofstadter butterfly spectrum and the chiral edge states of the associated Chern insulating phases.

5+4 pages, 5+3 figures, two-column revtex; v2: discussion of role of interactions added, Fig. 1 reshaped, minor changes, references added

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• Scattering in Mixed Dimensions with Ultracold Gases
• Universal Fermi gases in mixed dimensions
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Cited by in corpus (392)

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• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
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• Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
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• Extended flat-bands, entanglement and topological properties in a Creutz ladder
• Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice
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• Quantum phases and topological properties of interacting fermions in one-dimensional superlattices
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• Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
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• Synthetic dimensions for topological and quantum phases: Perspective
• Imaging topology of Hofstadter ribbons
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
• Realization of an atomic quantum Hall system in four dimensions
• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Pretopological fractional excitations in the two-leg flux ladder
• Topologically nontrivial Andreev bound states
• Phonoritonic crystals with synthetic magnetic field for acoustic diode
• Topological holographic quench dynamics in a synthetic dimension
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Optomechanical Kerker effect
• Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics
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• Efficient algorithm to compute the second Chern number in four dimensional systems
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• Light-induced fractional quantum Hall phases in graphene
• Perspective on new implementations of atomtronic circuits
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• Probing the exchange statistics of one-dimensional anyon models
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• Adiabatic Control of Atomic Dressed States for Transport and Sensing
• Chiral Mott insulators in frustrated Bose-Hubbard models on ladders and two-dimensional lattices: a combined perturbative and density matrix renormalization group study
• Electric fields for light: Propagation of microwave photons along a synthetic dimension
• Cluster State Generation with Spin-Orbit Coupled Fermionic Atoms in Optical Lattices
• Topological phases in odd-legs frustrated synthetic ladders
• Spin-orbit-coupled spinor gap solitons in Bose-Einstein condensates
• Six-dimensional time-space crystalline structures
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• The Hofstadter Butterfly in a Dynamic Cavity-Induced Synthetic Magnetic Field
• Probing the Hall Voltage in Synthetic Quantum Systems
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• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
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• Superfluid Vortices in Four Spatial Dimensions
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• Tensor monopoles and negative magnetoresistance effect in optical lattices
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• Spin-orbit coupled ultracold gases in optical lattices: High-band physics and insufficiency of tight-binding models
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Topological Devil's staircase in atomic two-leg ladders
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• Building Flat-Band Lattice Models from Gram Matrices
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• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
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• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
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• Time-reversal Invariant SU(2) Hofstadter Problem in Three Dimensional Lattices
• 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 coupling phases of the spin-orbit-coupled spin-1 Bose-Hubbard chain: odd integer Mott lobes and helical magnetic phases
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• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
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• Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices
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• Flat-band-induced superconductivity in synthetic bilayer optical lattices
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• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Liouville Fock state lattices and potential simulators
• Two-particle topological Thouless spin pump
• Edge currents in frustrated Josephson junction ladders
• Quantum States and Spectra of Small Cylindrical and Toroidal Lattices
• Geometrical frustration, power law tunneling and non-local gauge fields from scattered light
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
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• Theory of Hofstadter Superconductors
• Geometry-Induced Vacuum Polarization and Mode Shifts in Maxwell-Klein-Gordon Theory
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• Deterministic linear-optical computing with symmetry-based qubits
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• Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Advances in Synthetic Gauge Fields for Light Through Dynamic Modulation
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• $p$-band stability of ultracold atom gas in anharmonic optical lattice potential with large energy scales
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model