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Aperiodic crystals
, Crystals with long-range order but no repeating translational symmetry
Periodic crystalline matter
Solids where the atomic arrangement repeats regularly in space
Amorphous solids
Solids (like glass) that lack long-range periodic order
Translational symmetry
Property of a structure that looks the same when shifted by certain distances
Long-range order
Correlation in atomic or structural arrangement that extends across large distances
Spectrum (physics context)
Distribution of allowed energy states (electronic, photonic, etc.) in a system
Localization properties,
How wave-like phenomena (like electrons or photons) are spatially confined or spread out
Exciton-polariton
Hybrid quasiparticle formed by coupling a photon with an exciton (electron–hole pair)
Condensation (of exciton-polaritons)
Transition where many exciton-polaritons occupy the same quantum state forming coherence
Penrose tiling
A two-dimensional tiling pattern that covers space without periodic repetition but with order
C10 rotational symmetry
Symmetry under rotation by 36° (1/10 of a circle)
Quasicrystalline order
Structural order with long-range correlations but no periodic repetition
Quantum fluid of light
Collective state of light-like particles behaving as a fluid with quantum properties
Regime (physics)
A specific set of conditions where certain physical behaviors dominate
Delocalization
Spread of wavefunctions over large spatial regions instead of being confined
Synchronization (of quantum fluids)
Alignment of oscillation phases in different condensates for collective coherence
Mesoscopic length scales
Sizes between microscopic (atomic) and macroscopic (visible) often nano–micro scale
Healing length
Characteristic scale over which a condensate or superfluid “repairs” density disturbances
Condensate
A localized region where particles form a coherent quantum state
Reconfigurable quasicrystals
Quasicrystals whose patterns can be externally tuned or altered
Nonlinear (quantum fluids)
Systems where output is not proportional to input often due to interactions
Open-dissipative (quantum fluids)
Quantum fluids that exchange energy or particles with the environment and lose energy
Artificial defects
Man-made disruptions introduced to study effects on structure or behavior
Phase synchronization
Alignment of quantum phases of multiple condensates producing coherence
Unconventional settings
Contexts outside typical periodic crystals (e.g. quasicrystals aperiodic materials)