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Crystals 2016, 6(10), 124; doi:10.3390/cryst6100124

Quantum Simulation of a 2D Quasicrystal with Cold Atoms

1
Laboratoire de physique des Solides, Université Paris-Sud, 91405 Orsay, France
2
Centre de Physique Théorique, École Polytechnique, 91128 Palaiseau, France
*
Author to whom correspondence should be addressed.
Academic Editors: Enrique Maciá Barber and Helmut Cölfen
Received: 30 May 2016 / Revised: 29 August 2016 / Accepted: 13 September 2016 / Published: 23 September 2016
(This article belongs to the Special Issue Structure and Properties of Quasicrystals 2016)
View Full-Text   |   Download PDF [4956 KB, uploaded 23 September 2016]   |  

Abstract

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. One can obtain a series of such optical tilings, related by scale transformations, for a series of specific values of the chemical potential of the atoms. A theoretical model for the optical system is described and compared with that of the well-known cut-and-project method for the Ammann–Beenker tiling. The relation between the two tilings is discussed. This type of cold atom structure should allow the simulation of several important lattice models for interacting quantum particles and spins in quasicrystals. View Full-Text
Keywords: quasicrystals; electronic properties quasicrystals; electronic properties
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Macé, N.; Jagannathan, A.; Duneau, M. Quantum Simulation of a 2D Quasicrystal with Cold Atoms. Crystals 2016, 6, 124.

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