Tight-binding models in a quasiperiodic optical lattice
Quantum Gases
2023-07-19 v2 Other Condensed Matter
Abstract
This paper describes how one can use four standing wave laser fields to realize a two dimensional optical quasicrystal with eight-fold symmetry, closely related to the well-known octagonal or Ammann-Beenker tiling quasicrystal. We describe the structure and its properties, and the effective tight-binding model for atoms in this optical quasicrystal. Such a system, if realized experimentally, should provide valuable insights into the quantum properties of quasicrystals.
Cite
@article{arxiv.1309.7269,
title = {Tight-binding models in a quasiperiodic optical lattice},
author = {Anuradha Jagannathan and Michel Duneau},
journal= {arXiv preprint arXiv:1309.7269},
year = {2023}
}
Comments
revised version (to appear in the Proceedings of the International Conference on Quasicrystals ICQ12 Kracow, Poland)