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Crystals 2016, 6(10), 124;

Quantum Simulation of a 2D Quasicrystal with Cold Atoms

Laboratoire de physique des Solides, Université Paris-Sud, 91405 Orsay, France
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)
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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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Macé, N.; Jagannathan, A.; Duneau, M. Quantum Simulation of a 2D Quasicrystal with Cold Atoms. Crystals 2016, 6, 124.

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