Matter-Wave Diffraction from a Quasicrystalline Optical Lattice.

@article{Viebahn2019MatterWaveDF,
  title={Matter-Wave Diffraction from a Quasicrystalline Optical Lattice.},
  author={Konrad Viebahn and Matteo Sbroscia and Edwin Christopher Carter and Jr-Chiun Yu and Ulrich Schneider},
  journal={Physical review letters},
  year={2019},
  volume={122 11},
  pages={
          110404
        }
}
Quasicrystals are long-range ordered and yet nonperiodic. This interplay results in a wealth of intriguing physical phenomena, such as the inheritance of topological properties from higher dimensions, and the presence of nontrivial structure on all scales. Here, we report on the first experimental demonstration of an eightfold rotationally symmetric optical lattice, realizing a two-dimensional quasicrystalline potential for ultracold atoms. Using matter-wave diffraction we observe the self… 

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References

SHOWING 1-10 OF 77 REFERENCES
Fibonacci optical lattices for tunable quantum quasicrystals
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
Wave and defect dynamics in nonlinear photonic quasicrystals
TLDR
It is demonstrated that light launched at different quasicrystal sites travels through the lattice in a way equivalent to quantum tunnelling of electrons in a quasiperiodic potential, and at high intensity, lattice solitons are formed.
Bose-Einstein condensates in optical quasicrystal lattices
We analyze the physics of Bose-Einstein condensates confined in two dimensional (2D) quasiperiodic optical lattices, which offer an intermediate situation between ordered and disordered systems.
Quasiperiodic Optical Lattices
We study the kinetic temperature and the localization of cesium atoms in a three dimensional quasiperiodic optical potential created by the interference of five or six laser beams. Bragg scattering
Edge states and topological phases in one-dimensional optical superlattices.
We show that one-dimensional quasiperiodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi
Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
We analyze the topological properties of the one-dimensional Bose–Hubbard model with a quasiperiodic superlattice potential. This system can be realized in interacting ultracold bosons in an optical
An eightfold optical quasicrystal with cold atoms
We propose a means to realize two-dimensional quasiperiodic structures by trapping atoms in an optical potential. The structures have eightfold symmetry and are closely related to the well-known
Exploring phase coherence in a 2D lattice of Bose-Einstein condensates.
TLDR
By observing the interference pattern of atoms released from more than 3000 individual lattice tubes, the phase coherence of the coupled quantum gases is studied and the lifetime of the condensate in the lattice and the dependence of the interference patterns on the lattices configuration are investigated.
Revealing the Topology of Quasicrystals with a Diffraction Experiment.
TLDR
This Letter directly observe, using an interferometric approach, all of the topological invariants of finite-length Fibonacci chains in their diffraction pattern, and quantitatively demonstrate the stability of these topology invariants with respect to structural disorder.
Semiclassical dynamics, Berry curvature, and spiral holonomy in optical quasicrystals
We describe the theory of the dynamics of atoms in two-dimensional quasicrystalline optical lattices. We focus on a regime of shallow lattice depths under which the applied force can cause
...
1
2
3
4
5
...