Matter-wave diffraction from a quasicrystalline optical lattice
arXiv:1807.00823 · doi:10.1103/PhysRevLett.122.110404
Abstract
Quasicrystals are long-range ordered and yet non-periodic. This interplay results in a wealth of intriguing physical phenomena, such as the inheritance of topological properties from higher dimensions, and the presence of non-trivial structure on all scales. Here we report on the first experimental demonstration of an eightfold rotationally symmetric optical lattice, realising a two-dimensional quasicrystalline potential for ultracold atoms. Using matter-wave diffraction we observe the self-similarity of this quasicrystalline structure, in close analogy to the very first discovery of quasicrystals using electron diffraction. The diffraction dynamics on short timescales constitutes a continuous-time quantum walk on a homogeneous four-dimensional tight-binding lattice. These measurements pave the way for quantum simulations in fractal structures and higher dimensions.
References in corpus (36)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Topological States and Adiabatic Pumping in Quasicrystals
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Single-Spin Addressing in an Atomic Mott Insulator
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Synthetic gauge fields in synthetic dimensions
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Strongly Correlated Quantum Walks in Optical Lattices
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Edge states and topological phases in one-dimensional optical superlattices
- Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
- Undecidability of the Spectral Gap (short version)
- Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- Two universality classes for the many-body localization transition
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
- Suppression and enhancement of impurity scattering in a Bose-Einstein condensate
- Observation of a disordered bosonic insulator from weak to strong interactions
- Bose-Einstein Condensates in Optical Quasicrystal Lattices
- Two and Three-body Contacts in the Unitary Bose Gas
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- An atom optics approach to studying lattice transport phenomena
- Quantum quasicrystals of spin-orbit coupled dipolar bosons
- Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
- Phase Diagram of Commensurate Two-Dimensional Disordered Bose Hubbard Model
- Revealing the topology of quasicrystals with a diffraction experiment
- Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
- Fibonacci optical lattices for tunable quantum quasicrystals
- Non-power-law universality in one-dimensional quasicrystals
- The eight-fold way for optical quasicrystals
- Quantum coherence of Hard-Core-Bosons and Fermions : Extended, Glassy and Mott Phases
- Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
- Semiclassical Dynamics, Berry Curvature and Spiral Holonomy in Optical Quasicrystals
Cited by in corpus (109)
- Tools for quantum simulation with ultracold atoms in optical lattices
- Topological quantum matter in synthetic dimensions
- Variational quantum algorithms for nonlinear problems
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
- Topological phases without crystalline counterparts
- Anomalous mobility edges in one-dimensional quasiperiodic models
- Observing localisation in a 2D quasicrystalline optical lattice
- Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
- Simulating twistronics without a twist
- Discrete Time Quasi-Crystals
- Conventional superconductivity in quasicrystals
- Mixed spectra and partially extended states in a two-dimensional quasiperiodic model
- Topological states in quasicrystals
- Observation of localization of light in photonic quasicrystals of diverse symmetries
- Topological Anderson insulator phase in a quasicrystal lattice
- Dynamical order and superconductivity in a frustrated many-body system
- Superlattice structure in the antiferromagnetically ordered state in the Hubbard model on the Ammann-Beenker tiling
- Effect of disorder on topological charge pumping in the Rice-Mele model
- Topological valley transport under long-range deformations
- Sub-diffusive wave transport and weak localization transition in three-dimensional stealthy hyperuniform disordered systems
- Critical analysis of the re-entrant localization transition in a one-dimensional dimerized quasiperiodic lattice
- Topological spin excitations in Harper-Heisenberg spin chains
- Quantum many-body topology of quasicrystals
- Observing the two-dimensional Bose glass in an optical quasicrystal
- Emergent Quasicrystalline Symmetry in Light-Induced Quantum Phase Transitions
- Coexistence of localization and transport in many-body two-dimensional Aubry-André models
- Strictly localized states in the octagonal Ammann-Beenker quasicrystal
- Hubbard Models for Quasicrystalline Potentials
- Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
- Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
- Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
- Quantum Cluster Quasicrystals
- Mean-field study of the Bose-Hubbard model in Penrose lattice
- Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice
- Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
- Mean-field phases of an ultracold gas in a quasicrystalline potential
- Finite-temperature phases of trapped bosons in a two-dimensional quasiperiodic potential
- Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
- Quasicrystalline Bose glass in the absence of disorder and quasidisorder
- A Kitaev-type spin liquid on a quasicrystal
- Fermionization via cavity-assisted infinite-range interactions
- Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
- Perpendicular space accounting of localized states in a quasicrystal
- Measurement of the tune-out wavelength for Cs at nm
- Multi-frequency optical lattice for dynamic lattice-geometry control
- Colloquium: Synthetic quantum matter in non-standard geometries
- Exploring quantum quasicrystal patterns: a variational study
- Superfluid Vortices in Four Spatial Dimensions
- Electronic states of a disordered 2D quasiperiodic tiling: from critical states to Anderson localization
- Recovering quantum correlations in optical lattices from interaction quenches
- Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
- Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
- Quasiperiodic pairing in graphene quasicrystals
- Screening nearest-neighbor interactions in networks of exciton-polariton condensates through spin orbit coupling
- Quench Spectroscopy of a Disordered Quantum System
- Dynamics of rotating spin-orbit-coupled Bose-Einstein condensates in a quasicrystalline optical lattice
- Bose-Einstein condensates in an eightfold symmetric optical lattice
- Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions
- Confined states and topological phases in two-dimensional quasicrystalline -flux model
- An accordion superlattice for controlling atom separation in optical potentials
- Single-beam grating-chip 3D and 1D optical lattices
- Fractal Surface States in Three-Dimensional Topological Quasicrystals
- Hubbard parameters for programmable tweezer arrays
- Atom Cloud Detection Using a Deep Neural Network
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Particle dynamics and ergodicity-breaking in twisted-bilayer optical lattices
- A Multi-Purpose Platform for Analog Quantum Simulation
- Localized States in Local Isomorphism Classes of Pentagonal Quasicrystals
- Superglass formation in an atomic BEC with competing long-range interactions
- Cluster stability driven by quantum fluctuations
- The low energy excitation spectrum of magic-angle semimetals
- Measurement-induced phase transitions for free fermions in a quasiperiodic potential
- Multifractal Properties of Tribonacci Chains
- Zonal estimators for quasiperiodic bosonic many-body phases
- Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays
- Quasiperiodicity protects quantized transport in disordered systems without gaps
- Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
- Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
- Hamiltonian Cycles on Ammann-Beenker Tilings
- Solving the Gross-Pitaevskii equation on multiple different scales using the quantics tensor train representation
- Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States
- Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
- Features of the motion of ultracold atoms in quasiperiodic potentials
- Phase Properties of Interacting Bosons in Presence of Quasiperiodic and Random Disorder
- Polarized Raman Response of Two-Dimensional Quasiperiodic Antiferromagnets: Configuration-Interaction versus Green's Function Approaches
- Optical computing of quantum revivals
- Structural complexity of snapshots of 2D Fermi-Hubbard systems
- Effective tight-binding models in optical moiré potentials
- Vortex solitons in disclination quasicrystals
- Sieve of Eratosthenes for Bose-Einstein Condensates in Optical Moiré Lattices
- Stripe order in quasicrystals
- Energy Spectrum Theory of Incommensurate Systems
- Stability of particles in two-dimensional quasicrystals against phasonic perturbations
- A phase microscope for quantum gases
- Localization and Topology in Noncentrosymmetric Superconductors with Disorder
- Fragile magnetic order in metallic quasicrystals
- Experimental study of tune-out wavelengths for spin-dependent optical lattice in Rb Bose-Einstein condensation
- Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal
- Compact and programmable large-scale optical processor in free space
- Nonadiabatic contributions to Bragg-regime dynamics in atomic Kapitza-Dirac scattering
- Observation of multifractality of light in prime number arrays
- A stable phase-locking-free single beam optical lattice with multiple configurations
- Localization and topological signatures under periodic twisting
- On the origin of energy gaps in quasicrystalline potentials
- Controlling Vortex Lattice Structure of Binary Bose-Einstein Condensates via Disorder Induced Vortex Pinning
- Emergent aperiodicity in Bose-Bose mixtures induced by spin-dependent periodic potentials
- Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism
- Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential