The near-coincidence method generates quasiperiodic tilings by admitting nearly coincident points from superimposed layers and maps rigorously to the cut-and-project formalism, reproducing known tilings and producing new ones.
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A tensor network algorithm computes momentum-resolved spectral functions for large non-periodic super-moiré systems by mapping tight-binding problems to solvable quantum many-body simulations using kernel polynomial methods and quantum Fourier transforms.
A configuration-space framework shows that energy gaps in quasicrystals arise from resonant hybridization of increasingly distant sites, pinning the integrated density of states to specific irrational areas.
An experimental scheme creates a programmable dynamic 2D quasiperiodic optical lattice with phase noise suppressed by over 70 dB below 60 Hz and 350 kHz modulation bandwidth, enabling translational and phasonic control faster than recoil velocity.
citing papers explorer
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Tiling by Near Coincidence
The near-coincidence method generates quasiperiodic tilings by admitting nearly coincident points from superimposed layers and maps rigorously to the cut-and-project formalism, reproducing known tilings and producing new ones.
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Tensor network approach to momentum-resolved spectroscopy in non-periodic super-moir\'e systems
A tensor network algorithm computes momentum-resolved spectral functions for large non-periodic super-moiré systems by mapping tight-binding problems to solvable quantum many-body simulations using kernel polynomial methods and quantum Fourier transforms.
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On the origin of energy gaps in quasicrystalline potentials
A configuration-space framework shows that energy gaps in quasicrystals arise from resonant hybridization of increasingly distant sites, pinning the integrated density of states to specific irrational areas.
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Programmable Dynamic Phase Control of a Quasiperiodic Optical Lattice
An experimental scheme creates a programmable dynamic 2D quasiperiodic optical lattice with phase noise suppressed by over 70 dB below 60 Hz and 350 kHz modulation bandwidth, enabling translational and phasonic control faster than recoil velocity.