Fibonacci optical lattices for tunable quantum quasicrystals

Abstract

We describe a quasiperiodic optical lattice, created by a physical realization of the abstract cut-and-project construction underlying all quasicrystals. The resulting potential is a generalization of the Fibonacci tiling. Calculation of the energies and wavefunctions of ultracold atoms loaded into such a lattice demonstrate a multifractal energy spectrum, a singular continuous momentum-space structure, and the existence of controllable edge states. These results open the door to cold atom quantum simulation experiments in tunable or dynamic quasicrystalline potentials, including topological pumping of edge states and phasonic spectroscopy.

8 pages, 5 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Localization and adiabatic pumping in a generalized Aubry-André-Harper model
• Noncollinear magnetic order in quasicrystals
• Anomalous charge pumping in a one-dimensional optical superlattice

Cited by in corpus (33)

• Topological quantum matter with cold atoms
• Matter-wave diffraction from a quasicrystalline optical lattice
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Many-body localization in a quasiperiodic Fibonacci chain
• Kohn-Luttinger mechanism driven exotic topological superconductivity on the Penrose lattice
• Quantum many-body topology of quasicrystals
• Dynamics of quasiperiodically driven spin systems
• Strictly localized states in the octagonal Ammann-Beenker quasicrystal
• Mean-field study of the Bose-Hubbard model in Penrose lattice
• Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice
• Mean-field phases of an ultracold gas in a quasicrystalline potential
• Two-dimensional optical quasicrystal potentials for ultracold atom experiments
• Semiclassical Dynamics, Berry Curvature and Spiral Holonomy in Optical Quasicrystals
• Josephson effect in a Fibonacci quasicrystal
• Quantum Emulation of Extreme Non-equilibrium Phenomena with Trapped Atoms
• Perpendicular space accounting of localized states in a quasicrystal
• Topological superconductivity in Fibonacci quasicrystals
• Conduction in quasi-periodic and quasi-random lattices: Fibonacci, Riemann, and Anderson models
• Bosons with incommensurate potential and spin-orbit coupling
• Topological quantum optical states in quasiperiodic cold atomic chains
• Emergent dimerization and localization in disordered quantum chains
• Many-body localized phase of bosonic dipoles in a tilted optical lattice
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Stability of quasicrystalline ultracold fermions to dipolar interactions
• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
• Equivalence classes of Fibonacci lattices and their similarity properties
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Superconducting properties of Fibonacci chains with enhanced superconducting pairing at the boundaries
• Quantum Brownian motion in a quasiperiodic potential
• Optical response of the tightbinding model on the Fibonacci chain
• Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump
• Fractal Quasicondensation in One Dimension