Journal
PHYSICAL REVIEW A
Volume 92, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.92.063426
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Funding
- Office of Naval Research [N00014-14-1-0805]
- Air Force Office of Scientific Research [FA9550-12-1-0305]
- Army Research Office [W911NF-14-1-0154]
- Alfred P. Sloan foundation [BR2013-110]
- University of California Office of the President [CA-15-327861]
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We describe a quasiperiodic optical lattice, created by a physical realization of the abstract cut-and-project construction underlying all quasicrystals. The resulting potential is a generalization of the Fibonacci tiling. Calculation of the energies and wave functions of ultracold atoms loaded into such a lattice demonstrate a multifractal energy spectrum, a singular continuous momentum-space structure, and the existence of controllable edge states. These results open the door to cold atom quantum simulation experiments in tunable or dynamic quasicrystalline potentials, including topological pumping of edge states and phasonic spectroscopy.
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