The eight-fold way for optical quasicrystals

Abstract

In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals obtained in this way, which are closely related to the well-known octagonal tiling, offer unique possibilities to study the effects of quasiperiodicity on physical properties. This method allows to transform the structures, to inflate or deflate them, include interactions or disorder and thus realize a large variety of theoretical models, both classical and quantum. In this paper we derive a number of interesting geometrical properties of the optical quasicrystals, and present some results obtained by numerical calculations.

Paper following short report published in Europhys.Lett. vol.104 p. 66003 (2013)

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Tight binding models for ultracold atoms in honeycomb optical lattices
• Correlation function of weakly interacting bosons in a disordered lattice
• Energy levels and their correlations in quasicrystals

Cited by in corpus (23)

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• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Imaging Quasi-Periodic Electronic States in a Synthetic Penrose Tiling
• Fibonacci optical lattices for tunable quantum quasicrystals
• Topological states in quasicrystals
• Emergent Quasicrystalline Symmetry in Light-Induced Quantum Phase Transitions
• Hubbard Models for Quasicrystalline Potentials
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Mean-field phases of an ultracold gas in a quasicrystalline potential
• Semiclassical Dynamics, Berry Curvature and Spiral Holonomy in Optical Quasicrystals
• Properties of the Ammann-Beenker tiling and its square approximants
• Quantum percolation in quasicrystals using continuous-time quantum walk
• Bose-Einstein condensates in an eightfold symmetric optical lattice
• Tight-binding models in a quasiperiodic optical lattice
• Magnon Confinement on the Two-Dimensional Penrose Lattice: Perpendicular-Space Analysis of the Dynamic Structure Factor
• Effective tight-binding models in optical moiré potentials
• Polarized Raman Response of Two-Dimensional Quasiperiodic Antiferromagnets: Configuration-Interaction versus Green's Function Approaches
• Stability of particles in two-dimensional quasicrystals against phasonic perturbations
• Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal
• On the origin of energy gaps in quasicrystalline potentials
• Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism
• Site-selective correlations in interacting "flat-band" quasicrystals
• Localization and topological signatures under periodic twisting