Quantum simulation of a 2D quasicrystal with cold atoms

Nicolas Macé; Anuradha Jagannathan; Michel Duneau

doi:10.3390/cryst6100124

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arXiv · 1609.08509

Quantum simulation of a 2D quasicrystal with cold atoms

Nicolas Macé·Anuradha Jagannathan·Michel Duneau

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Abstract

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is obtained 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. This type of cold atom structure should allow the simulation of several important lattice models for interacting quantum particles and spins in quasicrystals.

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Nicolas Macé, Anuradha Jagannathan, Michel Duneau. 2016-09-27. Quantum simulation of a 2D quasicrystal with cold atoms. https://doi.org/10.3390/cryst6100124

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