A quantum quasicrystal is a state of matter characterized by an ordered but nonrepeating arrangement of quantum particles. Such phases are predicted for a variety of systems and have been experimentally observed in ultracold atomic gases (see Viewpoint: A Quasicrystal for Quantum Simulations). However, little has been known about the low-energy excitations of quantum quasicrystals. Now Alejandro Mendoza-Coto at the Federal University of Santa Catarina in Brazil and his colleagues present a theory that sheds light on these excitations [1]. Thanks to its generality, the theory could also be applied to other systems, including bosonic supersolids.
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