Tunable quasiperiodic optical traps can enable quantum emulation of electronic phenomena in quasicrystals.~ A 1D bichromatic lattice or a Gaussian beam intersecting a 2D square lattice in a direct analogy of the "cut-and-project" construction can be used to create tunable 1D quasiperiodic potentials for cold neutral atoms.~ We report on progress towards the observation of singular continuous diffraction patterns, fractal energy spectra, and Bloch oscillations in these synthetic quasicrystals. We will also discuss the existence of edge states which can be topologically pumped across the lattice by varying a phasonic parameter.
*We acknowledge support from the ONR, the ARO and the PECASE and DURIP programs, the AFOSR, the Alfred P. Sloan foundation and the President's Research Catalyst Award from the University of California Office of the President.
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Authors
Ruwan Senaratne
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
Zachary Geiger
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
Kurt Fujiwara
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
Kevin Singh
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
Shankari Rajagopal
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
David Weld
Physics Department, University of California, Santa Barbara, and California Institute for Quantum Emulation
Physics Department, University of California, Santa Barbara and California Institute for Quantum Emulation
