Tight-Binding Models in a Quasiperiodic Optical Lattice |
| A. Jagannathana and M. Duneaub
aLaboratoire de Physique des Solides, Université Paris-Sud, 91405 Orsay, France bCentre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau, France |
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| 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 we outline the main features of an 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. |
DOI: 10.12693/APhysPolA.126.490 PACS numbers: 61.44.Br, 67.85.-d, 71.10.Fd |